C. Q. Dai, R. P. Chen, and Y. Y. Wang, “Spatiotemporal self-similar solutions for the nonautonomous (3+1)D cubic-quintic GP equation,” Chin. Phys. B 21, 030508 (2012).

[CrossRef]

W. P. Zhong, M. Belić, and G. Assanto, “Localized nonlinear wavepackets in with radial-azimuthal modulated nonlinearity and an external potential,” Phys. Scripta 84, 055001 (2011).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

W. P. Zhong and M. Belić, “Traveling wave and soliton solutions of coupled nonlinear Schrödinger equations with variable coefficients,” Phys. Rev. E 82, 047601 (2010).

[CrossRef]

W. P. Zhong, M. Belić, Y. Lu, and T. Huang, “Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation,” Phys. Rev. E 81, 016605 (2010).

[CrossRef]

B. Yang, W. P. Zhong, and M. Belić, “Self-similar HG spatial solitons in 2-dimensional nonlocal nonlinear media,” Commun. Theor. Phys. 53, 937–942 (2010).

[CrossRef]

W.-P. Zhong, M. Belić, and T. Huang, “Three-dimensional Bessel light bullets in self-focusing Kerr media,” Phys. Rev. 82, 033834 (2010).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous matter-wave solitons near the Feshbach resonance,” Phys. Rev. A 81, 023610 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, and D. Bazeia, “Modulation of breathers in cigar- shaped Bose–Einstein condensates,” Phys. Lett. A 374, 2640–2645 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, D. Bazeia, and M. S. Hussein, “Solitons of two-component Bose–Einstein condensates modulated in space and time,” Phys. Lett. A 374, 2356–2360 (2010).

[CrossRef]

J. Belmonte-Beitia, and G. F. Calvo, “Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials,” Phys. Lett. A 373, 448–453 (2009).

[CrossRef]

A. T. Avelar, D. Bazeia, and W. B. Cardoso, “Solitons with cubic and quintic nonlinearities modulated in space and time,” Phys. Rev. E 79, 025602 (2009).

[CrossRef]

X. G. He, D. Zhao, L. Li, and H. G. Luo, “Engineering integrable nonautonomous nonlinear Schrödinger equations,” Phys. Rev. E 79, 056610 (2009).

[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328 (2009).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and V. V. Konotop, “Localized nonlinear waves in systems with time- and space-modulated nonlinearities,” Phys. Rev. Lett. 100, 164102 (2008).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

[CrossRef]

G. Fibich, Y. Sivan, and M. I. Weinstein, “Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure,” Physica D 217, 31–57 (2006).

[CrossRef]

V. M. Perez-Garcia, P. J. Torres, and V. V. Konotop, “Similarity transformation for NLS equations with time-dependent coefficients,” Phys. D 221, 31–36 (2006).

[CrossRef]

D. McGloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemp. Phys. 46, 15–28 (2005).

[CrossRef]

B. B. Baizakov, G. Filatrella, B. A. Malomed, and M. Salerno, “Double parametric resonance for matter-wave solitons in a time-modulated trap,” Phys. Rev. E 71, 036619 (2005).

[CrossRef]

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, “Nonlinear Bessel beams,” Opt. Commun. 222, 107–115(2003).

[CrossRef]

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, “Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length,” Phys. Rev. Lett. 90, 230402 (2003).

[CrossRef]

Z. Bouchal, “Nondifracting optical beams,” Czech. J. Phys. 53, 537–578 (2003).

[CrossRef]

V. N. Serkin, and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

[CrossRef]

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, “Theory of Bose-Einstein condensation in trapped gases,” Rev. Mod. Phys. 71, 463–512 (1999).

[CrossRef]

S. P. Burtsev, and I. R. Gabitov, “Alternative integrable equations of nonlinear optics,” Phys. Rev. A 49, 2065–2070 (1994).

[CrossRef]

Y. S. Kivshar and X. Yang, “Dark solitons on background of finite extent,” Opt. Commun. 107, 93–98 (1994).

[CrossRef]

V. V. Konotop, “Soliton on a disordered lattice,” Phys. Rev. E 47, 1423–1426 (1993).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563–568 (1993).

[CrossRef]

H. H. Chen, and C. S. Liu, “Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities,” Phys. Fluids 21, 377–380 (1978).

[CrossRef]

F. Calogero, and A. Degasperis, “Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron,” Lett. Nuovo Cimento 16, 425–433 (1976).

[CrossRef]

H. H. Chen, and C. S. Liu, “Solitons in nonuniform media,” Phys. Rev. Lett. 37, 693–697 (1976).

[CrossRef]

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, “Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length,” Phys. Rev. Lett. 90, 230402 (2003).

[CrossRef]

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

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, “Nonlinear Bessel beams,” Opt. Commun. 222, 107–115(2003).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

W. P. Zhong, M. Belić, and G. Assanto, “Localized nonlinear wavepackets in with radial-azimuthal modulated nonlinearity and an external potential,” Phys. Scripta 84, 055001 (2011).

[CrossRef]

W. B. Cardoso, A. T. Avelar, D. Bazeia, and M. S. Hussein, “Solitons of two-component Bose–Einstein condensates modulated in space and time,” Phys. Lett. A 374, 2356–2360 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, and D. Bazeia, “Modulation of breathers in cigar- shaped Bose–Einstein condensates,” Phys. Lett. A 374, 2640–2645 (2010).

[CrossRef]

A. T. Avelar, D. Bazeia, and W. B. Cardoso, “Solitons with cubic and quintic nonlinearities modulated in space and time,” Phys. Rev. E 79, 025602 (2009).

[CrossRef]

B. B. Baizakov, G. Filatrella, B. A. Malomed, and M. Salerno, “Double parametric resonance for matter-wave solitons in a time-modulated trap,” Phys. Rev. E 71, 036619 (2005).

[CrossRef]

W. B. Cardoso, A. T. Avelar, and D. Bazeia, “Modulation of breathers in cigar- shaped Bose–Einstein condensates,” Phys. Lett. A 374, 2640–2645 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, D. Bazeia, and M. S. Hussein, “Solitons of two-component Bose–Einstein condensates modulated in space and time,” Phys. Lett. A 374, 2356–2360 (2010).

[CrossRef]

A. T. Avelar, D. Bazeia, and W. B. Cardoso, “Solitons with cubic and quintic nonlinearities modulated in space and time,” Phys. Rev. E 79, 025602 (2009).

[CrossRef]

W. P. Zhong, M. Belić, and G. Assanto, “Localized nonlinear wavepackets in with radial-azimuthal modulated nonlinearity and an external potential,” Phys. Scripta 84, 055001 (2011).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

W. P. Zhong and M. Belić, “Traveling wave and soliton solutions of coupled nonlinear Schrödinger equations with variable coefficients,” Phys. Rev. E 82, 047601 (2010).

[CrossRef]

W. P. Zhong, M. Belić, Y. Lu, and T. Huang, “Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation,” Phys. Rev. E 81, 016605 (2010).

[CrossRef]

W.-P. Zhong, M. Belić, and T. Huang, “Three-dimensional Bessel light bullets in self-focusing Kerr media,” Phys. Rev. 82, 033834 (2010).

[CrossRef]

B. Yang, W. P. Zhong, and M. Belić, “Self-similar HG spatial solitons in 2-dimensional nonlocal nonlinear media,” Commun. Theor. Phys. 53, 937–942 (2010).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

J. Belmonte-Beitia, and G. F. Calvo, “Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials,” Phys. Lett. A 373, 448–453 (2009).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and V. V. Konotop, “Localized nonlinear waves in systems with time- and space-modulated nonlinearities,” Phys. Rev. Lett. 100, 164102 (2008).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous matter-wave solitons near the Feshbach resonance,” Phys. Rev. A 81, 023610 (2010).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

[CrossRef]

Z. Bouchal, “Nondifracting optical beams,” Czech. J. Phys. 53, 537–578 (2003).

[CrossRef]

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, “Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length,” Phys. Rev. Lett. 90, 230402 (2003).

[CrossRef]

S. P. Burtsev, and I. R. Gabitov, “Alternative integrable equations of nonlinear optics,” Phys. Rev. A 49, 2065–2070 (1994).

[CrossRef]

F. Calogero, and A. Degasperis, “Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron,” Lett. Nuovo Cimento 16, 425–433 (1976).

[CrossRef]

J. Belmonte-Beitia, and G. F. Calvo, “Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials,” Phys. Lett. A 373, 448–453 (2009).

[CrossRef]

W. B. Cardoso, A. T. Avelar, and D. Bazeia, “Modulation of breathers in cigar- shaped Bose–Einstein condensates,” Phys. Lett. A 374, 2640–2645 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, D. Bazeia, and M. S. Hussein, “Solitons of two-component Bose–Einstein condensates modulated in space and time,” Phys. Lett. A 374, 2356–2360 (2010).

[CrossRef]

A. T. Avelar, D. Bazeia, and W. B. Cardoso, “Solitons with cubic and quintic nonlinearities modulated in space and time,” Phys. Rev. E 79, 025602 (2009).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

H. H. Chen, and C. S. Liu, “Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities,” Phys. Fluids 21, 377–380 (1978).

[CrossRef]

H. H. Chen, and C. S. Liu, “Solitons in nonuniform media,” Phys. Rev. Lett. 37, 693–697 (1976).

[CrossRef]

C. Q. Dai, R. P. Chen, and Y. Y. Wang, “Spatiotemporal self-similar solutions for the nonautonomous (3+1)D cubic-quintic GP equation,” Chin. Phys. B 21, 030508 (2012).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563–568 (1993).

[CrossRef]

C. Q. Dai, R. P. Chen, and Y. Y. Wang, “Spatiotemporal self-similar solutions for the nonautonomous (3+1)D cubic-quintic GP equation,” Chin. Phys. B 21, 030508 (2012).

[CrossRef]

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, “Theory of Bose-Einstein condensation in trapped gases,” Rev. Mod. Phys. 71, 463–512 (1999).

[CrossRef]

F. Calogero, and A. Degasperis, “Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron,” Lett. Nuovo Cimento 16, 425–433 (1976).

[CrossRef]

D. McGloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemp. Phys. 46, 15–28 (2005).

[CrossRef]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).

[CrossRef]

G. Fibich, Y. Sivan, and M. I. Weinstein, “Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure,” Physica D 217, 31–57 (2006).

[CrossRef]

B. B. Baizakov, G. Filatrella, B. A. Malomed, and M. Salerno, “Double parametric resonance for matter-wave solitons in a time-modulated trap,” Phys. Rev. E 71, 036619 (2005).

[CrossRef]

S. P. Burtsev, and I. R. Gabitov, “Alternative integrable equations of nonlinear optics,” Phys. Rev. A 49, 2065–2070 (1994).

[CrossRef]

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, “Theory of Bose-Einstein condensation in trapped gases,” Rev. Mod. Phys. 71, 463–512 (1999).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous matter-wave solitons near the Feshbach resonance,” Phys. Rev. A 81, 023610 (2010).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

[CrossRef]

V. N. Serkin, and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

[CrossRef]

A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford University, 1995).

X. G. He, D. Zhao, L. Li, and H. G. Luo, “Engineering integrable nonautonomous nonlinear Schrödinger equations,” Phys. Rev. E 79, 056610 (2009).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

W. P. Zhong, M. Belić, Y. Lu, and T. Huang, “Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation,” Phys. Rev. E 81, 016605 (2010).

[CrossRef]

W.-P. Zhong, M. Belić, and T. Huang, “Three-dimensional Bessel light bullets in self-focusing Kerr media,” Phys. Rev. 82, 033834 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, D. Bazeia, and M. S. Hussein, “Solitons of two-component Bose–Einstein condensates modulated in space and time,” Phys. Lett. A 374, 2356–2360 (2010).

[CrossRef]

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, “Nonlinear Bessel beams,” Opt. Commun. 222, 107–115(2003).

[CrossRef]

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, “Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length,” Phys. Rev. Lett. 90, 230402 (2003).

[CrossRef]

Y. S. Kivshar and X. Yang, “Dark solitons on background of finite extent,” Opt. Commun. 107, 93–98 (1994).

[CrossRef]

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

A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford University, 1995).

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and V. V. Konotop, “Localized nonlinear waves in systems with time- and space-modulated nonlinearities,” Phys. Rev. Lett. 100, 164102 (2008).

[CrossRef]

V. M. Perez-Garcia, P. J. Torres, and V. V. Konotop, “Similarity transformation for NLS equations with time-dependent coefficients,” Phys. D 221, 31–36 (2006).

[CrossRef]

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, “Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length,” Phys. Rev. Lett. 90, 230402 (2003).

[CrossRef]

V. V. Konotop, “Soliton on a disordered lattice,” Phys. Rev. E 47, 1423–1426 (1993).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563–568 (1993).

[CrossRef]

X. G. He, D. Zhao, L. Li, and H. G. Luo, “Engineering integrable nonautonomous nonlinear Schrödinger equations,” Phys. Rev. E 79, 056610 (2009).

[CrossRef]

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, “Nonlinear Bessel beams,” Opt. Commun. 222, 107–115(2003).

[CrossRef]

H. H. Chen, and C. S. Liu, “Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities,” Phys. Fluids 21, 377–380 (1978).

[CrossRef]

H. H. Chen, and C. S. Liu, “Solitons in nonuniform media,” Phys. Rev. Lett. 37, 693–697 (1976).

[CrossRef]

W. P. Zhong, M. Belić, Y. Lu, and T. Huang, “Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation,” Phys. Rev. E 81, 016605 (2010).

[CrossRef]

X. G. He, D. Zhao, L. Li, and H. G. Luo, “Engineering integrable nonautonomous nonlinear Schrödinger equations,” Phys. Rev. E 79, 056610 (2009).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

B. B. Baizakov, G. Filatrella, B. A. Malomed, and M. Salerno, “Double parametric resonance for matter-wave solitons in a time-modulated trap,” Phys. Rev. E 71, 036619 (2005).

[CrossRef]

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

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, “Nonlinear Bessel beams,” Opt. Commun. 222, 107–115(2003).

[CrossRef]

D. McGloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemp. Phys. 46, 15–28 (2005).

[CrossRef]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).

[CrossRef]

V. M. Perez-Garcia, P. J. Torres, and V. V. Konotop, “Similarity transformation for NLS equations with time-dependent coefficients,” Phys. D 221, 31–36 (2006).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and V. V. Konotop, “Localized nonlinear waves in systems with time- and space-modulated nonlinearities,” Phys. Rev. Lett. 100, 164102 (2008).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

L. P. Pitaevski and S. Stringari, Bose-Einstein Condensation (Oxford University, 2003).

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, “Theory of Bose-Einstein condensation in trapped gases,” Rev. Mod. Phys. 71, 463–512 (1999).

[CrossRef]

B. B. Baizakov, G. Filatrella, B. A. Malomed, and M. Salerno, “Double parametric resonance for matter-wave solitons in a time-modulated trap,” Phys. Rev. E 71, 036619 (2005).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous matter-wave solitons near the Feshbach resonance,” Phys. Rev. A 81, 023610 (2010).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

[CrossRef]

V. N. Serkin, and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

[CrossRef]

G. Fibich, Y. Sivan, and M. I. Weinstein, “Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure,” Physica D 217, 31–57 (2006).

[CrossRef]

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, “Theory of Bose-Einstein condensation in trapped gases,” Rev. Mod. Phys. 71, 463–512 (1999).

[CrossRef]

L. P. Pitaevski and S. Stringari, Bose-Einstein Condensation (Oxford University, 2003).

C. Sulem, and P. L. Sulem, The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse (Springer-Verlag, 1999).

C. Sulem, and P. L. Sulem, The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse (Springer-Verlag, 1999).

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

V. M. Perez-Garcia, P. J. Torres, and V. V. Konotop, “Similarity transformation for NLS equations with time-dependent coefficients,” Phys. D 221, 31–36 (2006).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563–568 (1993).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and V. V. Konotop, “Localized nonlinear waves in systems with time- and space-modulated nonlinearities,” Phys. Rev. Lett. 100, 164102 (2008).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

C. Q. Dai, R. P. Chen, and Y. Y. Wang, “Spatiotemporal self-similar solutions for the nonautonomous (3+1)D cubic-quintic GP equation,” Chin. Phys. B 21, 030508 (2012).

[CrossRef]

G. Fibich, Y. Sivan, and M. I. Weinstein, “Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure,” Physica D 217, 31–57 (2006).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

B. Yang, W. P. Zhong, and M. Belić, “Self-similar HG spatial solitons in 2-dimensional nonlocal nonlinear media,” Commun. Theor. Phys. 53, 937–942 (2010).

[CrossRef]

Y. S. Kivshar and X. Yang, “Dark solitons on background of finite extent,” Opt. Commun. 107, 93–98 (1994).

[CrossRef]

X. G. He, D. Zhao, L. Li, and H. G. Luo, “Engineering integrable nonautonomous nonlinear Schrödinger equations,” Phys. Rev. E 79, 056610 (2009).

[CrossRef]

W. P. Zhong, M. Belić, and G. Assanto, “Localized nonlinear wavepackets in with radial-azimuthal modulated nonlinearity and an external potential,” Phys. Scripta 84, 055001 (2011).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

W. P. Zhong and M. Belić, “Traveling wave and soliton solutions of coupled nonlinear Schrödinger equations with variable coefficients,” Phys. Rev. E 82, 047601 (2010).

[CrossRef]

W. P. Zhong, M. Belić, Y. Lu, and T. Huang, “Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation,” Phys. Rev. E 81, 016605 (2010).

[CrossRef]

B. Yang, W. P. Zhong, and M. Belić, “Self-similar HG spatial solitons in 2-dimensional nonlocal nonlinear media,” Commun. Theor. Phys. 53, 937–942 (2010).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

W.-P. Zhong, M. Belić, and T. Huang, “Three-dimensional Bessel light bullets in self-focusing Kerr media,” Phys. Rev. 82, 033834 (2010).

[CrossRef]

C. Q. Dai, R. P. Chen, and Y. Y. Wang, “Spatiotemporal self-similar solutions for the nonautonomous (3+1)D cubic-quintic GP equation,” Chin. Phys. B 21, 030508 (2012).

[CrossRef]

B. Yang, W. P. Zhong, and M. Belić, “Self-similar HG spatial solitons in 2-dimensional nonlocal nonlinear media,” Commun. Theor. Phys. 53, 937–942 (2010).

[CrossRef]

D. McGloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemp. Phys. 46, 15–28 (2005).

[CrossRef]

Z. Bouchal, “Nondifracting optical beams,” Czech. J. Phys. 53, 537–578 (2003).

[CrossRef]

F. Calogero, and A. Degasperis, “Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron,” Lett. Nuovo Cimento 16, 425–433 (1976).

[CrossRef]

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, “Nonlinear Bessel beams,” Opt. Commun. 222, 107–115(2003).

[CrossRef]

Y. S. Kivshar and X. Yang, “Dark solitons on background of finite extent,” Opt. Commun. 107, 93–98 (1994).

[CrossRef]

V. M. Perez-Garcia, P. J. Torres, and V. V. Konotop, “Similarity transformation for NLS equations with time-dependent coefficients,” Phys. D 221, 31–36 (2006).

[CrossRef]

H. H. Chen, and C. S. Liu, “Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities,” Phys. Fluids 21, 377–380 (1978).

[CrossRef]

W. B. Cardoso, A. T. Avelar, and D. Bazeia, “Modulation of breathers in cigar- shaped Bose–Einstein condensates,” Phys. Lett. A 374, 2640–2645 (2010).

[CrossRef]

W. B. Cardoso, A. T. Avelar, D. Bazeia, and M. S. Hussein, “Solitons of two-component Bose–Einstein condensates modulated in space and time,” Phys. Lett. A 374, 2356–2360 (2010).

[CrossRef]

J. Belmonte-Beitia, and G. F. Calvo, “Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials,” Phys. Lett. A 373, 448–453 (2009).

[CrossRef]

W.-P. Zhong, M. Belić, and T. Huang, “Three-dimensional Bessel light bullets in self-focusing Kerr media,” Phys. Rev. 82, 033834 (2010).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous matter-wave solitons near the Feshbach resonance,” Phys. Rev. A 81, 023610 (2010).

[CrossRef]

W. P. Zhong, M. Belić, G. Assanto, B. A. Malomed, and T. Huang, “Light bullets in the spatiotemporal nonlinear Schrödinger equation with a variable negative diffraction coefficient,” Phys. Rev. A 84, 043801 (2011).

[CrossRef]

S. P. Burtsev, and I. R. Gabitov, “Alternative integrable equations of nonlinear optics,” Phys. Rev. A 49, 2065–2070 (1994).

[CrossRef]

W. P. Zhong, R. H. Xie, M. Belić, N. Petrović, and G. Chen, “Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. A 78, 023821 (2008).

[CrossRef]

V. V. Konotop, “Soliton on a disordered lattice,” Phys. Rev. E 47, 1423–1426 (1993).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563–568 (1993).

[CrossRef]

B. B. Baizakov, G. Filatrella, B. A. Malomed, and M. Salerno, “Double parametric resonance for matter-wave solitons in a time-modulated trap,” Phys. Rev. E 71, 036619 (2005).

[CrossRef]

W. P. Zhong and M. Belić, “Traveling wave and soliton solutions of coupled nonlinear Schrödinger equations with variable coefficients,” Phys. Rev. E 82, 047601 (2010).

[CrossRef]

W. P. Zhong, M. Belić, Y. Lu, and T. Huang, “Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation,” Phys. Rev. E 81, 016605 (2010).

[CrossRef]

A. T. Avelar, D. Bazeia, and W. B. Cardoso, “Solitons with cubic and quintic nonlinearities modulated in space and time,” Phys. Rev. E 79, 025602 (2009).

[CrossRef]

X. G. He, D. Zhao, L. Li, and H. G. Luo, “Engineering integrable nonautonomous nonlinear Schrödinger equations,” Phys. Rev. E 79, 056610 (2009).

[CrossRef]

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, “Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length,” Phys. Rev. Lett. 90, 230402 (2003).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and V. V. Konotop, “Localized nonlinear waves in systems with time- and space-modulated nonlinearities,” Phys. Rev. Lett. 100, 164102 (2008).

[CrossRef]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).

[CrossRef]

V. N. Serkin, and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

[CrossRef]

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

[CrossRef]

M. Belić, N. Petrović, W. P. Zhong, R. H. Xie, and G. Chen, “Analytical light bullet solutions to the generalized (1+3)-dimensional nonlinear Schrödinger equation,” Phys. Rev. Lett. 101, 123904 (2008).

[CrossRef]

H. H. Chen, and C. S. Liu, “Solitons in nonuniform media,” Phys. Rev. Lett. 37, 693–697 (1976).

[CrossRef]

W. P. Zhong, M. Belić, and G. Assanto, “Localized nonlinear wavepackets in with radial-azimuthal modulated nonlinearity and an external potential,” Phys. Scripta 84, 055001 (2011).

[CrossRef]

G. Fibich, Y. Sivan, and M. I. Weinstein, “Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure,” Physica D 217, 31–57 (2006).

[CrossRef]

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, “Theory of Bose-Einstein condensation in trapped gases,” Rev. Mod. Phys. 71, 463–512 (1999).

[CrossRef]

L. P. Pitaevski and S. Stringari, Bose-Einstein Condensation (Oxford University, 2003).

A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford University, 1995).

C. Sulem, and P. L. Sulem, The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse (Springer-Verlag, 1999).

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

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