M. Trippenbach, M. Matuszewski, and B. A. Malomed, Stabilization of three-dimensional matter-waves solitons in an optical lattice," Europhys. Lett. 70, 8-14 (2005).

[CrossRef]

M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Fully three dimensional breather solitons can be created using Feshbach resonances," Phys. Rev. Lett. 95, 050403 (2005).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, Spatiotemporal optical solitons," J. Opt. 7, R53-R72 (2005).

G. Huang, L. Deng, and C. Hang, "Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates," Phys. Rev. E 72, 036621 (2005).

[CrossRef]

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and P. J. Torres, "Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: matter-wave breathers," Physica D 191, 193-210 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in a low-dimensional periodic potential," Phys. Rev. A 70, 053613 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, Stabilized two-dimensional vector solitons," Phys. Rev. Lett. 92, 133901 (2004).

[CrossRef]

H. Saito and M. Ueda, "Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate," Phys. Rev. Lett. 90, 040403 (2003).

[CrossRef]

F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).

[CrossRef]

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, "Feshbach resonance management for Bose-Einstein condensates," Phys. Rev. Lett. 90, 230401 (2003).

[CrossRef]

I. N. Towers, B. A. Malomed, and F. W. Wise, "Light bullets in quadratic media with normal dispersion at the second harmonic," Phys. Rev. Lett. 90, 123902 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

K. Beckwitt, Y. F. Chen, F. W. Wise, and B. A. Malomed, "Temporal solitons in quadratic nonlinear media with opposite group-velocity dispersions at the fundamental and second harmonics," Phys. Rev. E 68, 057601 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

I. Towers and B. A. Malomed, "Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity," J. Opt. Soc. Am. B 19, 537-543 (2002).

H. E. Nistazakis, D. J. Frantzeskakis, and B. A. Malomed, "Collisions between spatiotemporal solitons of different dimensionality in a planar waveguide," Phys. Rev. E 64, 026604 (2001).

[CrossRef]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

D. B. Khismatullin and I. Sh. Akhatov, "Sound-ultrasound interaction in bubbly fluids: theory and possible applications," Phys. Fluids 13, 3582-3598 (2001).

[CrossRef]

G. Huang, V. V. Konotop, H. W. Tam, and B. Hu, "Nonlinear modulation of multidimensional lattice waves," Phys. Rev. E 64, 056619 (2001).

[CrossRef]

M. J. Ablowitz, G. Biondini, and S. Blair, "Nonlinear Schrodinger equations with mean terms in nonresonant multidimensional quadratic materials," Phys. Rev. E 63, 046605 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

M. Blaauboer, B. A. Malomed, and G. Kurizki, "Spatiotemporally localized multidimensional solitons in self-induced transparency media," Phys. Rev. Lett. 84, 1906-1909 (2000).

[CrossRef]

M. Blaauboer, G. Kurizki, and B. A. Malomed, "Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors," Phys. Rev. E 62, R57-R59 (2000).

[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, "Two-dimensional optical spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 1328-1340 (2000).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4631-4634 (1999).

[CrossRef]

M. L. Quiroga-Teixeiro, A. Berntson, and H. Michinel, "Internal dynamics of nonlinear beams in their ground states: short- and long-lived excitation," J. Opt. Soc. Am. B 16, 1697-1704 (1999).

H. Leblond, "Electromagnetic waves in ferromagnets: a Davey-Stewartson-type model," J. Phys. A 32, 7907-7932 (1999).

[CrossRef]

H. Leblond, "Bidimensional optical solitons in a quadratic medium," J. Phys. A 31, 5129-5143 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, "Generation and stability of optical bullets in quadratic nonlinear media," Opt. Commun. 148, 79-84 (1998).

[CrossRef]

D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, "Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity," Opt. Commun. 152, 365-370 (1998).

[CrossRef]

G. Gottwald, R. Grimshaw, and B. A. Malomed, "Stable two-dimensional parametric solitons in fluid systems," Phys. Lett. A 248, 208-218 (1998).

[CrossRef]

D. J. Frantzeskakis, K. Hizanidis, B. A. Malomed, and C. Polymilis, "Stable anti-dark light bullets supported by the third-order dispersion," Phys. Lett. A 248, 203-207 (1998).

[CrossRef]

D. E. Edmundson, "Unstable higher modes of a three-dimensional nonlinear Schrodinger equation," Phys. Rev. E 55, 7636-7644 (1997).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

Y. Chen and J. Atai, "Dark optical bullets in light self-trapping," Opt. Lett. 20, 133-135 (1995).

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).

[CrossRef]

D. E. Edmundson and R. H. Enns, "Particlelike nature of colliding three-dimensional optical solitons," Phys. Rev. A 51, 2491-2498 (1995).

[CrossRef]

R. E. Kates and D. J. Kaup, "2-dimensional nonlinear Schrodinger-equations and their properties," Physica D 75, 458-470 (1994).

K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).

[CrossRef]

A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, "Light bullets formation in a bulk media," IEEE J. Quantum Electron. 27, 2060-2065 (1991).

[CrossRef]

V. A. Arkadiev, A. K. Pogrebkov, and M. C. Polivanov, "Inverse scattering transform method and soliton-solutions for Davey-Stewartson-II equation," Physica D 36, 189-197 (1989).

[CrossRef]

A. S. Fokas and P. M. Santini, "Coherent structures in multidimensions," Phys. Rev. Lett. 63, 1329-1333 (1989).

[CrossRef]

M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).

[CrossRef]

A. Nakamura, "Explode-decay mode lump solitons of a two-dimensional non-linear Schrodinger-equation," Phys. Lett. A 88, 55-56 (1982).

[CrossRef]

J. Satsuma and M. J. Ablowitz, "2-dimensional lumps in non-linear dispersive systems," J. Math. Phys. 20, 1496-1503 (1979).

[CrossRef]

D. Anker and N. C. Freeman, "Soliton solutions of Davey-Stewartson equation for long waves," Proc. R. Soc. London, Ser. A 360, 529-540 (1978).

V. Djordjevic and L. Redekopp, "2-dimensional packets of capillary-gravity waves," J. Fluid Mech. 79, 703-714 (1977).

[CrossRef]

A. Davey and K. Stewartson, "3-dimensional packets of surface-waves," Proc. R. Soc. London, Ser. A 338, 101-110 (1974).

D. J. Benney and G. J. Roskes, "Wave instabilities," Stud. Appl. Math. 48, 377-385 (1969).

F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).

[CrossRef]

M. J. Ablowitz, G. Biondini, and S. Blair, "Nonlinear Schrodinger equations with mean terms in nonresonant multidimensional quadratic materials," Phys. Rev. E 63, 046605 (2001).

[CrossRef]

J. Satsuma and M. J. Ablowitz, "2-dimensional lumps in non-linear dispersive systems," J. Math. Phys. 20, 1496-1503 (1979).

[CrossRef]

M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge U. Press, 1991).

G. P. Agrawal, Nonlinear Fiber Optics (Academic,1995).

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

D. B. Khismatullin and I. Sh. Akhatov, "Sound-ultrasound interaction in bubbly fluids: theory and possible applications," Phys. Fluids 13, 3582-3598 (2001).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

D. Anker and N. C. Freeman, "Soliton solutions of Davey-Stewartson equation for long waves," Proc. R. Soc. London, Ser. A 360, 529-540 (1978).

V. A. Arkadiev, A. K. Pogrebkov, and M. C. Polivanov, "Inverse scattering transform method and soliton-solutions for Davey-Stewartson-II equation," Physica D 36, 189-197 (1989).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in a low-dimensional periodic potential," Phys. Rev. A 70, 053613 (2004).

[CrossRef]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

K. Beckwitt, Y. F. Chen, F. W. Wise, and B. A. Malomed, "Temporal solitons in quadratic nonlinear media with opposite group-velocity dispersions at the fundamental and second harmonics," Phys. Rev. E 68, 057601 (2003).

[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, "Two-dimensional optical spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 1328-1340 (2000).

[CrossRef]

D. J. Benney and G. J. Roskes, "Wave instabilities," Stud. Appl. Math. 48, 377-385 (1969).

M. L. Quiroga-Teixeiro, A. Berntson, and H. Michinel, "Internal dynamics of nonlinear beams in their ground states: short- and long-lived excitation," J. Opt. Soc. Am. B 16, 1697-1704 (1999).

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

M. J. Ablowitz, G. Biondini, and S. Blair, "Nonlinear Schrodinger equations with mean terms in nonresonant multidimensional quadratic materials," Phys. Rev. E 63, 046605 (2001).

[CrossRef]

M. Blaauboer, B. A. Malomed, and G. Kurizki, "Spatiotemporally localized multidimensional solitons in self-induced transparency media," Phys. Rev. Lett. 84, 1906-1909 (2000).

[CrossRef]

M. Blaauboer, G. Kurizki, and B. A. Malomed, "Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors," Phys. Rev. E 62, R57-R59 (2000).

[CrossRef]

A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, "Light bullets formation in a bulk media," IEEE J. Quantum Electron. 27, 2060-2065 (1991).

[CrossRef]

M. J. Ablowitz, G. Biondini, and S. Blair, "Nonlinear Schrodinger equations with mean terms in nonresonant multidimensional quadratic materials," Phys. Rev. E 63, 046605 (2001).

[CrossRef]

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).

[CrossRef]

M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).

[CrossRef]

K. Beckwitt, Y. F. Chen, F. W. Wise, and B. A. Malomed, "Temporal solitons in quadratic nonlinear media with opposite group-velocity dispersions at the fundamental and second harmonics," Phys. Rev. E 68, 057601 (2003).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge U. Press, 1991).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

A. Davey and K. Stewartson, "3-dimensional packets of surface-waves," Proc. R. Soc. London, Ser. A 338, 101-110 (1974).

G. Huang, L. Deng, and C. Hang, "Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates," Phys. Rev. E 72, 036621 (2005).

[CrossRef]

A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, "Light bullets formation in a bulk media," IEEE J. Quantum Electron. 27, 2060-2065 (1991).

[CrossRef]

V. Djordjevic and L. Redekopp, "2-dimensional packets of capillary-gravity waves," J. Fluid Mech. 79, 703-714 (1977).

[CrossRef]

A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, "Light bullets formation in a bulk media," IEEE J. Quantum Electron. 27, 2060-2065 (1991).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

D. E. Edmundson, "Unstable higher modes of a three-dimensional nonlinear Schrodinger equation," Phys. Rev. E 55, 7636-7644 (1997).

[CrossRef]

D. E. Edmundson and R. H. Enns, "Particlelike nature of colliding three-dimensional optical solitons," Phys. Rev. A 51, 2491-2498 (1995).

[CrossRef]

R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, "Optical switching between bistable soliton states--a theoretical review," Opt. Quantum Electron. 24, S1295-S1314 (1992).

[CrossRef]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

D. E. Edmundson and R. H. Enns, "Particlelike nature of colliding three-dimensional optical solitons," Phys. Rev. A 51, 2491-2498 (1995).

[CrossRef]

R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, "Optical switching between bistable soliton states--a theoretical review," Opt. Quantum Electron. 24, S1295-S1314 (1992).

[CrossRef]

D. V. Skryabin and W. J. Firth, "Generation and stability of optical bullets in quadratic nonlinear media," Opt. Commun. 148, 79-84 (1998).

[CrossRef]

A. S. Fokas and P. M. Santini, "Dromions and a boundary-value problem for the Davey-Stewartson-1 equation," Physica D 44, 99-130 (1990).

[CrossRef]

A. S. Fokas and P. M. Santini, "Coherent structures in multidimensions," Phys. Rev. Lett. 63, 1329-1333 (1989).

[CrossRef]

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, "Feshbach resonance management for Bose-Einstein condensates," Phys. Rev. Lett. 90, 230401 (2003).

[CrossRef]

H. E. Nistazakis, D. J. Frantzeskakis, and B. A. Malomed, "Collisions between spatiotemporal solitons of different dimensionality in a planar waveguide," Phys. Rev. E 64, 026604 (2001).

[CrossRef]

D. J. Frantzeskakis, K. Hizanidis, B. A. Malomed, and C. Polymilis, "Stable anti-dark light bullets supported by the third-order dispersion," Phys. Lett. A 248, 203-207 (1998).

[CrossRef]

D. Anker and N. C. Freeman, "Soliton solutions of Davey-Stewartson equation for long waves," Proc. R. Soc. London, Ser. A 360, 529-540 (1978).

G. Gottwald, R. Grimshaw, and B. A. Malomed, "Stable two-dimensional parametric solitons in fluid systems," Phys. Lett. A 248, 208-218 (1998).

[CrossRef]

G. Gottwald, R. Grimshaw, and B. A. Malomed, "Stable two-dimensional parametric solitons in fluid systems," Phys. Lett. A 248, 208-218 (1998).

[CrossRef]

G. Huang, L. Deng, and C. Hang, "Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates," Phys. Rev. E 72, 036621 (2005).

[CrossRef]

K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

D. J. Frantzeskakis, K. Hizanidis, B. A. Malomed, and C. Polymilis, "Stable anti-dark light bullets supported by the third-order dispersion," Phys. Lett. A 248, 203-207 (1998).

[CrossRef]

G. Huang, V. V. Konotop, H. W. Tam, and B. Hu, "Nonlinear modulation of multidimensional lattice waves," Phys. Rev. E 64, 056619 (2001).

[CrossRef]

G. Huang, L. Deng, and C. Hang, "Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates," Phys. Rev. E 72, 036621 (2005).

[CrossRef]

G. Huang, V. V. Konotop, H. W. Tam, and B. Hu, "Nonlinear modulation of multidimensional lattice waves," Phys. Rev. E 64, 056619 (2001).

[CrossRef]

M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Fully three dimensional breather solitons can be created using Feshbach resonances," Phys. Rev. Lett. 95, 050403 (2005).

[CrossRef]

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, "Optical switching between bistable soliton states--a theoretical review," Opt. Quantum Electron. 24, S1295-S1314 (1992).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

R. E. Kates and D. J. Kaup, "2-dimensional nonlinear Schrodinger-equations and their properties," Physica D 75, 458-470 (1994).

R. E. Kates and D. J. Kaup, "2-dimensional nonlinear Schrodinger-equations and their properties," Physica D 75, 458-470 (1994).

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, "Feshbach resonance management for Bose-Einstein condensates," Phys. Rev. Lett. 90, 230401 (2003).

[CrossRef]

D. B. Khismatullin and I. Sh. Akhatov, "Sound-ultrasound interaction in bubbly fluids: theory and possible applications," Phys. Fluids 13, 3582-3598 (2001).

[CrossRef]

G. Huang, V. V. Konotop, H. W. Tam, and B. Hu, "Nonlinear modulation of multidimensional lattice waves," Phys. Rev. E 64, 056619 (2001).

[CrossRef]

K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).

[CrossRef]

F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).

[CrossRef]

M. Blaauboer, G. Kurizki, and B. A. Malomed, "Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors," Phys. Rev. E 62, R57-R59 (2000).

[CrossRef]

M. Blaauboer, B. A. Malomed, and G. Kurizki, "Spatiotemporally localized multidimensional solitons in self-induced transparency media," Phys. Rev. Lett. 84, 1906-1909 (2000).

[CrossRef]

H. Leblond, "Electromagnetic waves in ferromagnets: a Davey-Stewartson-type model," J. Phys. A 32, 7907-7932 (1999).

[CrossRef]

H. Leblond, "Bidimensional optical solitons in a quadratic medium," J. Phys. A 31, 5129-5143 (1998).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, "Two-dimensional optical spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 1328-1340 (2000).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4631-4634 (1999).

[CrossRef]

M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Fully three dimensional breather solitons can be created using Feshbach resonances," Phys. Rev. Lett. 95, 050403 (2005).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, Spatiotemporal optical solitons," J. Opt. 7, R53-R72 (2005).

M. Trippenbach, M. Matuszewski, and B. A. Malomed, Stabilization of three-dimensional matter-waves solitons in an optical lattice," Europhys. Lett. 70, 8-14 (2005).

[CrossRef]

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in a low-dimensional periodic potential," Phys. Rev. A 70, 053613 (2004).

[CrossRef]

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, "Feshbach resonance management for Bose-Einstein condensates," Phys. Rev. Lett. 90, 230401 (2003).

[CrossRef]

F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).

[CrossRef]

I. N. Towers, B. A. Malomed, and F. W. Wise, "Light bullets in quadratic media with normal dispersion at the second harmonic," Phys. Rev. Lett. 90, 123902 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

K. Beckwitt, Y. F. Chen, F. W. Wise, and B. A. Malomed, "Temporal solitons in quadratic nonlinear media with opposite group-velocity dispersions at the fundamental and second harmonics," Phys. Rev. E 68, 057601 (2003).

[CrossRef]

I. Towers and B. A. Malomed, "Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity," J. Opt. Soc. Am. B 19, 537-543 (2002).

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

H. E. Nistazakis, D. J. Frantzeskakis, and B. A. Malomed, "Collisions between spatiotemporal solitons of different dimensionality in a planar waveguide," Phys. Rev. E 64, 026604 (2001).

[CrossRef]

M. Blaauboer, B. A. Malomed, and G. Kurizki, "Spatiotemporally localized multidimensional solitons in self-induced transparency media," Phys. Rev. Lett. 84, 1906-1909 (2000).

[CrossRef]

M. Blaauboer, G. Kurizki, and B. A. Malomed, "Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors," Phys. Rev. E 62, R57-R59 (2000).

[CrossRef]

D. J. Frantzeskakis, K. Hizanidis, B. A. Malomed, and C. Polymilis, "Stable anti-dark light bullets supported by the third-order dispersion," Phys. Lett. A 248, 203-207 (1998).

[CrossRef]

D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, "Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity," Opt. Commun. 152, 365-370 (1998).

[CrossRef]

G. Gottwald, R. Grimshaw, and B. A. Malomed, "Stable two-dimensional parametric solitons in fluid systems," Phys. Lett. A 248, 208-218 (1998).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

B. A. Malomed, Soliton Management in Periodic Systems (Springer, 2006).

M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).

[CrossRef]

M. Trippenbach, M. Matuszewski, and B. A. Malomed, Stabilization of three-dimensional matter-waves solitons in an optical lattice," Europhys. Lett. 70, 8-14 (2005).

[CrossRef]

M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Fully three dimensional breather solitons can be created using Feshbach resonances," Phys. Rev. Lett. 95, 050403 (2005).

[CrossRef]

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, "Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity," Opt. Commun. 152, 365-370 (1998).

[CrossRef]

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, Stabilized two-dimensional vector solitons," Phys. Rev. Lett. 92, 133901 (2004).

[CrossRef]

M. L. Quiroga-Teixeiro, A. Berntson, and H. Michinel, "Internal dynamics of nonlinear beams in their ground states: short- and long-lived excitation," J. Opt. Soc. Am. B 16, 1697-1704 (1999).

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, Spatiotemporal optical solitons," J. Opt. 7, R53-R72 (2005).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, "Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity," Opt. Commun. 152, 365-370 (1998).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, Stabilized two-dimensional vector solitons," Phys. Rev. Lett. 92, 133901 (2004).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and P. J. Torres, "Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: matter-wave breathers," Physica D 191, 193-210 (2004).

[CrossRef]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, "Light bullets formation in a bulk media," IEEE J. Quantum Electron. 27, 2060-2065 (1991).

[CrossRef]

A. Nakamura, "Explode-decay mode lump solitons of a two-dimensional non-linear Schrodinger-equation," Phys. Lett. A 88, 55-56 (1982).

[CrossRef]

H. E. Nistazakis, D. J. Frantzeskakis, and B. A. Malomed, "Collisions between spatiotemporal solitons of different dimensionality in a planar waveguide," Phys. Rev. E 64, 026604 (2001).

[CrossRef]

M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and P. J. Torres, "Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: matter-wave breathers," Physica D 191, 193-210 (2004).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, Stabilized two-dimensional vector solitons," Phys. Rev. Lett. 92, 133901 (2004).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

V. A. Arkadiev, A. K. Pogrebkov, and M. C. Polivanov, "Inverse scattering transform method and soliton-solutions for Davey-Stewartson-II equation," Physica D 36, 189-197 (1989).

[CrossRef]

V. A. Arkadiev, A. K. Pogrebkov, and M. C. Polivanov, "Inverse scattering transform method and soliton-solutions for Davey-Stewartson-II equation," Physica D 36, 189-197 (1989).

[CrossRef]

D. J. Frantzeskakis, K. Hizanidis, B. A. Malomed, and C. Polymilis, "Stable anti-dark light bullets supported by the third-order dispersion," Phys. Lett. A 248, 203-207 (1998).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4631-4634 (1999).

[CrossRef]

R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, "Optical switching between bistable soliton states--a theoretical review," Opt. Quantum Electron. 24, S1295-S1314 (1992).

[CrossRef]

V. Djordjevic and L. Redekopp, "2-dimensional packets of capillary-gravity waves," J. Fluid Mech. 79, 703-714 (1977).

[CrossRef]

D. J. Benney and G. J. Roskes, "Wave instabilities," Stud. Appl. Math. 48, 377-385 (1969).

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

H. Saito and M. Ueda, "Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate," Phys. Rev. Lett. 90, 040403 (2003).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in a low-dimensional periodic potential," Phys. Rev. A 70, 053613 (2004).

[CrossRef]

A. S. Fokas and P. M. Santini, "Dromions and a boundary-value problem for the Davey-Stewartson-1 equation," Physica D 44, 99-130 (1990).

[CrossRef]

A. S. Fokas and P. M. Santini, "Coherent structures in multidimensions," Phys. Rev. Lett. 63, 1329-1333 (1989).

[CrossRef]

J. Satsuma and M. J. Ablowitz, "2-dimensional lumps in non-linear dispersive systems," J. Math. Phys. 20, 1496-1503 (1979).

[CrossRef]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15, 1282-1284 (1990).

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

D. V. Skryabin and W. J. Firth, "Generation and stability of optical bullets in quadratic nonlinear media," Opt. Commun. 148, 79-84 (1998).

[CrossRef]

A. Davey and K. Stewartson, "3-dimensional packets of surface-waves," Proc. R. Soc. London, Ser. A 338, 101-110 (1974).

G. Huang, V. V. Konotop, H. W. Tam, and B. Hu, "Nonlinear modulation of multidimensional lattice waves," Phys. Rev. E 64, 056619 (2001).

[CrossRef]

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, "Feshbach resonance management for Bose-Einstein condensates," Phys. Rev. Lett. 90, 230401 (2003).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, Spatiotemporal optical solitons," J. Opt. 7, R53-R72 (2005).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, "Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity," Opt. Commun. 152, 365-370 (1998).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and P. J. Torres, "Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: matter-wave breathers," Physica D 191, 193-210 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

I. Towers and B. A. Malomed, "Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity," J. Opt. Soc. Am. B 19, 537-543 (2002).

I. N. Towers, B. A. Malomed, and F. W. Wise, "Light bullets in quadratic media with normal dispersion at the second harmonic," Phys. Rev. Lett. 90, 123902 (2003).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Fully three dimensional breather solitons can be created using Feshbach resonances," Phys. Rev. Lett. 95, 050403 (2005).

[CrossRef]

M. Trippenbach, M. Matuszewski, and B. A. Malomed, Stabilization of three-dimensional matter-waves solitons in an optical lattice," Europhys. Lett. 70, 8-14 (2005).

[CrossRef]

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

H. Saito and M. Ueda, "Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate," Phys. Rev. Lett. 90, 040403 (2003).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, Spatiotemporal optical solitons," J. Opt. 7, R53-R72 (2005).

X. Liu, K. Beckwitt, and F. Wise, "Two-dimensional optical spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 1328-1340 (2000).

[CrossRef]

I. N. Towers, B. A. Malomed, and F. W. Wise, "Light bullets in quadratic media with normal dispersion at the second harmonic," Phys. Rev. Lett. 90, 123902 (2003).

[CrossRef]

K. Beckwitt, Y. F. Chen, F. W. Wise, and B. A. Malomed, "Temporal solitons in quadratic nonlinear media with opposite group-velocity dispersions at the fundamental and second harmonics," Phys. Rev. E 68, 057601 (2003).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4631-4634 (1999).

[CrossRef]

M. Trippenbach, M. Matuszewski, and B. A. Malomed, Stabilization of three-dimensional matter-waves solitons in an optical lattice," Europhys. Lett. 70, 8-14 (2005).

[CrossRef]

A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, "Light bullets formation in a bulk media," IEEE J. Quantum Electron. 27, 2060-2065 (1991).

[CrossRef]

V. Djordjevic and L. Redekopp, "2-dimensional packets of capillary-gravity waves," J. Fluid Mech. 79, 703-714 (1977).

[CrossRef]

J. Satsuma and M. J. Ablowitz, "2-dimensional lumps in non-linear dispersive systems," J. Math. Phys. 20, 1496-1503 (1979).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, Spatiotemporal optical solitons," J. Opt. 7, R53-R72 (2005).

H. Leblond, "Bidimensional optical solitons in a quadratic medium," J. Phys. A 31, 5129-5143 (1998).

[CrossRef]

H. Leblond, "Electromagnetic waves in ferromagnets: a Davey-Stewartson-type model," J. Phys. A 32, 7907-7932 (1999).

[CrossRef]

D. V. Skryabin and W. J. Firth, "Generation and stability of optical bullets in quadratic nonlinear media," Opt. Commun. 148, 79-84 (1998).

[CrossRef]

D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, "Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity," Opt. Commun. 152, 365-370 (1998).

[CrossRef]

R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, "Optical switching between bistable soliton states--a theoretical review," Opt. Quantum Electron. 24, S1295-S1314 (1992).

[CrossRef]

D. B. Khismatullin and I. Sh. Akhatov, "Sound-ultrasound interaction in bubbly fluids: theory and possible applications," Phys. Fluids 13, 3582-3598 (2001).

[CrossRef]

A. Nakamura, "Explode-decay mode lump solitons of a two-dimensional non-linear Schrodinger-equation," Phys. Lett. A 88, 55-56 (1982).

[CrossRef]

M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).

[CrossRef]

D. J. Frantzeskakis, K. Hizanidis, B. A. Malomed, and C. Polymilis, "Stable anti-dark light bullets supported by the third-order dispersion," Phys. Lett. A 248, 203-207 (1998).

[CrossRef]

G. Gottwald, R. Grimshaw, and B. A. Malomed, "Stable two-dimensional parametric solitons in fluid systems," Phys. Lett. A 248, 208-218 (1998).

[CrossRef]

F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, "Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length," Phys. Rev. A 67, 013605 (2003).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in a low-dimensional periodic potential," Phys. Rev. A 70, 053613 (2004).

[CrossRef]

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).

[CrossRef]

D. E. Edmundson and R. H. Enns, "Particlelike nature of colliding three-dimensional optical solitons," Phys. Rev. A 51, 2491-2498 (1995).

[CrossRef]

D. E. Edmundson, "Unstable higher modes of a three-dimensional nonlinear Schrodinger equation," Phys. Rev. E 55, 7636-7644 (1997).

[CrossRef]

B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997).

[CrossRef]

H. E. Nistazakis, D. J. Frantzeskakis, and B. A. Malomed, "Collisions between spatiotemporal solitons of different dimensionality in a planar waveguide," Phys. Rev. E 64, 026604 (2001).

[CrossRef]

D. Mihalache, D. Mazilu, I. Towers, B. A. Malomed, and F. Lederer, "Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium," Phys. Rev. E 67, 056608 (2003).

[CrossRef]

M. Blaauboer, G. Kurizki, and B. A. Malomed, "Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors," Phys. Rev. E 62, R57-R59 (2000).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L. C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004).

[CrossRef]

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and M. Skorupski, "Two-dimensional dispersion-managed light bullets in Kerr media," Phys. Rev. E 70, 016603 (2004).

[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, "Two-dimensional optical spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 1328-1340 (2000).

[CrossRef]

K. Beckwitt, Y. F. Chen, F. W. Wise, and B. A. Malomed, "Temporal solitons in quadratic nonlinear media with opposite group-velocity dispersions at the fundamental and second harmonics," Phys. Rev. E 68, 057601 (2003).

[CrossRef]

M. J. Ablowitz, G. Biondini, and S. Blair, "Nonlinear Schrodinger equations with mean terms in nonresonant multidimensional quadratic materials," Phys. Rev. E 63, 046605 (2001).

[CrossRef]

G. Huang, L. Deng, and C. Hang, "Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates," Phys. Rev. E 72, 036621 (2005).

[CrossRef]

G. Huang, V. V. Konotop, H. W. Tam, and B. Hu, "Nonlinear modulation of multidimensional lattice waves," Phys. Rev. E 64, 056619 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarkas, and G. Valiulis, "Observation of quadratic optical vortex solitons," Phys. Rev. Lett. 84, 3843-3846 (2000).

[CrossRef]

A. S. Fokas and P. M. Santini, "Coherent structures in multidimensions," Phys. Rev. Lett. 63, 1329-1333 (1989).

[CrossRef]

M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Fully three dimensional breather solitons can be created using Feshbach resonances," Phys. Rev. Lett. 95, 050403 (2005).

[CrossRef]

H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4631-4634 (1999).

[CrossRef]

H. Saito and M. Ueda, "Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate," Phys. Rev. Lett. 90, 040403 (2003).

[CrossRef]

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, "Feshbach resonance management for Bose-Einstein condensates," Phys. Rev. Lett. 90, 230401 (2003).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, Stabilized two-dimensional vector solitons," Phys. Rev. Lett. 92, 133901 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002).

[CrossRef]

M. Blaauboer, B. A. Malomed, and G. Kurizki, "Spatiotemporally localized multidimensional solitons in self-induced transparency media," Phys. Rev. Lett. 84, 1906-1909 (2000).

[CrossRef]

I. N. Towers, B. A. Malomed, and F. W. Wise, "Light bullets in quadratic media with normal dispersion at the second harmonic," Phys. Rev. Lett. 90, 123902 (2003).

[CrossRef]

K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).

[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and P. J. Torres, "Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: matter-wave breathers," Physica D 191, 193-210 (2004).

[CrossRef]

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[CrossRef]

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