G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (2996).

[CrossRef]

L. Torner and A. P. Sukhorukov, “Quadratic solitons,” Opt. Photon. News 13(2), 42–47 (2002).

[CrossRef]

A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).

[CrossRef]
[PubMed]

M. Soljacic and M. Segev, “Integer and fractional angular momentum borne on self-trapped necklace-ring beams,” Phys. Rev. Lett. 86, 420–423 (2001).

[CrossRef]
[PubMed]

A. S. Desyatnikov and Yu. S. Kivshar, “Necklace-ring vector solitons,” Phys. Rev. Lett. 87, 033901 (2001).

[CrossRef]
[PubMed]

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex-beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

A. Bramati, W. Chinaglia, S. Minardi, and P. Di Trapani, “Reconstruction of blurred images by controlled formation of spatial solitons,” Opt. Lett. 26, 1409–1411 (2001).

[CrossRef]

M. Soljacic and M. Segev, “Self-trapping of necklace-ring beams in self-focusing Kerr media,” Phys. Rev. E 62, 2810–2820 (2000).

[CrossRef]

V. V. Steblina, Yu. S. Kivshar, and A. V. Buryak, “Scattering and spiraling of solitons in a bulk quadratic medium,” Opt. Lett. 23, 156–158 (1998).

[CrossRef]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998).

[CrossRef]

M. Soljacic, S. Sears, and M. Segev, “Self-trapping of necklace beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, “From topological charge information to sets of solitons in quadratic non-linear media,” Opt. Quantum Electron. 30, 809–827 (1998).

[CrossRef]

R. Schiek, Y. Baek, G. I. Stegeman, and W. Sohler, “Interactions between one-dimensional quadratic soliton-like beams,” Opt. Quantum Electron. 30, 861–879 (1998).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).

[CrossRef]

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–609 (1997).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7–9 (1997).

[CrossRef]
[PubMed]

L. Torner and D. V. Petrov, “Splitting of light beams with spiral phase dislocations into solitons in bulk quadratic nonlinear media,” J. Opt. Soc. Am. B 14, 2017–2023 (1997).

[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Solitary-wave interactions in quadratic media near type I phase matching conditions,” J. Opt. Soc. Am. B 14, 3143–3150 (1997).

[CrossRef]

G. Leo and G. Assanto, “Collisional interaction of vectorial spatial solitary waves in type II frequency-doubling media,” J. Opt. Soc. Am. B 14, 3151–3161 (1997).

[CrossRef]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282–2284 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, R3444–3447 (1995).

[CrossRef]
[PubMed]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

G. Leo and G. Assanto, “Collisional interaction of vectorial spatial solitary waves in type II frequency-doubling media,” J. Opt. Soc. Am. B 14, 3151–3161 (1997).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7–9 (1997).

[CrossRef]
[PubMed]

R. Schiek, Y. Baek, G. I. Stegeman, and W. Sohler, “Interactions between one-dimensional quadratic soliton-like beams,” Opt. Quantum Electron. 30, 861–879 (1998).

[CrossRef]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998).

[CrossRef]

A. V. Buryak and V. V. Steblina, “Soliton collisions in bulk quadratic media: comprehensive analytical and numerical study,” J. Opt. Soc. Am. B 16, 245–255 (1999).

[CrossRef]

V. V. Steblina, Yu. S. Kivshar, and A. V. Buryak, “Scattering and spiraling of solitons in a bulk quadratic medium,” Opt. Lett. 23, 156–158 (1998).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1995).

[CrossRef]
[PubMed]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998).

[CrossRef]

A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).

[CrossRef]
[PubMed]

A. S. Desyatnikov and Yu. S. Kivshar, “Necklace-ring vector solitons,” Phys. Rev. Lett. 87, 033901 (2001).

[CrossRef]
[PubMed]

A. Bramati, W. Chinaglia, S. Minardi, and P. Di Trapani, “Reconstruction of blurred images by controlled formation of spatial solitons,” Opt. Lett. 26, 1409–1411 (2001).

[CrossRef]

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex-beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, R3444–3447 (1995).

[CrossRef]
[PubMed]

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (2996).

[CrossRef]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).

[CrossRef]
[PubMed]

A. S. Desyatnikov and Yu. S. Kivshar, “Necklace-ring vector solitons,” Phys. Rev. Lett. 87, 033901 (2001).

[CrossRef]
[PubMed]

V. V. Steblina, Yu. S. Kivshar, and A. V. Buryak, “Scattering and spiraling of solitons in a bulk quadratic medium,” Opt. Lett. 23, 156–158 (1998).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, R3444–3447 (1995).

[CrossRef]
[PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, R3444–3447 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex-beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

A. Bramati, W. Chinaglia, S. Minardi, and P. Di Trapani, “Reconstruction of blurred images by controlled formation of spatial solitons,” Opt. Lett. 26, 1409–1411 (2001).

[CrossRef]

A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998).

[CrossRef]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, R3444–3447 (1995).

[CrossRef]
[PubMed]

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998).

[CrossRef]

L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, “From topological charge information to sets of solitons in quadratic non-linear media,” Opt. Quantum Electron. 30, 809–827 (1998).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

L. Torner and D. V. Petrov, “Splitting of light beams with spiral phase dislocations into solitons in bulk quadratic nonlinear media,” J. Opt. Soc. Am. B 14, 2017–2023 (1997).

[CrossRef]

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–609 (1997).

[CrossRef]

R. Schiek, Y. Baek, G. I. Stegeman, and W. Sohler, “Interactions between one-dimensional quadratic soliton-like beams,” Opt. Quantum Electron. 30, 861–879 (1998).

[CrossRef]

M. Soljacic, S. Sears, and M. Segev, “Self-trapping of necklace beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

M. Soljacic and M. Segev, “Integer and fractional angular momentum borne on self-trapped necklace-ring beams,” Phys. Rev. Lett. 86, 420–423 (2001).

[CrossRef]
[PubMed]

M. Soljacic and M. Segev, “Self-trapping of necklace-ring beams in self-focusing Kerr media,” Phys. Rev. E 62, 2810–2820 (2000).

[CrossRef]

M. Soljacic, S. Sears, and M. Segev, “Self-trapping of necklace beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

R. Schiek, Y. Baek, G. I. Stegeman, and W. Sohler, “Interactions between one-dimensional quadratic soliton-like beams,” Opt. Quantum Electron. 30, 861–879 (1998).

[CrossRef]

M. Soljacic and M. Segev, “Integer and fractional angular momentum borne on self-trapped necklace-ring beams,” Phys. Rev. Lett. 86, 420–423 (2001).

[CrossRef]
[PubMed]

M. Soljacic and M. Segev, “Self-trapping of necklace-ring beams in self-focusing Kerr media,” Phys. Rev. E 62, 2810–2820 (2000).

[CrossRef]

M. Soljacic, S. Sears, and M. Segev, “Self-trapping of necklace beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998).

[CrossRef]

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998).

[CrossRef]

L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, “From topological charge information to sets of solitons in quadratic non-linear media,” Opt. Quantum Electron. 30, 809–827 (1998).

[CrossRef]

A. V. Buryak and V. V. Steblina, “Soliton collisions in bulk quadratic media: comprehensive analytical and numerical study,” J. Opt. Soc. Am. B 16, 245–255 (1999).

[CrossRef]

V. V. Steblina, Yu. S. Kivshar, and A. V. Buryak, “Scattering and spiraling of solitons in a bulk quadratic medium,” Opt. Lett. 23, 156–158 (1998).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1995).

[CrossRef]
[PubMed]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (2996).

[CrossRef]

R. Schiek, Y. Baek, G. I. Stegeman, and W. Sohler, “Interactions between one-dimensional quadratic soliton-like beams,” Opt. Quantum Electron. 30, 861–879 (1998).

[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Solitary-wave interactions in quadratic media near type I phase matching conditions,” J. Opt. Soc. Am. B 14, 3143–3150 (1997).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282–2284 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner and A. P. Sukhorukov, “Quadratic solitons,” Opt. Photon. News 13(2), 42–47 (2002).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (2996).

[CrossRef]

L. Torner and A. P. Sukhorukov, “Quadratic solitons,” Opt. Photon. News 13(2), 42–47 (2002).

[CrossRef]

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex-beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998).

[CrossRef]

L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, “From topological charge information to sets of solitons in quadratic non-linear media,” Opt. Quantum Electron. 30, 809–827 (1998).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

L. Torner and D. V. Petrov, “Splitting of light beams with spiral phase dislocations into solitons in bulk quadratic nonlinear media,” J. Opt. Soc. Am. B 14, 2017–2023 (1997).

[CrossRef]

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–609 (1997).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282–2284 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex-beam splitting,” Opt. Lett. 26, 1004–1006 (2001).

[CrossRef]

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998).

[CrossRef]

L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, “From topological charge information to sets of solitons in quadratic non-linear media,” Opt. Quantum Electron. 30, 809–827 (1998).

[CrossRef]

D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998).

[CrossRef]

G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7–9 (1997).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–609 (1997).

[CrossRef]

L. Torner and D. V. Petrov, “Splitting of light beams with spiral phase dislocations into solitons in bulk quadratic nonlinear media,” J. Opt. Soc. Am. B 14, 2017–2023 (1997).

[CrossRef]

D.-M. Baboiu and G. I. Stegeman, “Solitary-wave interactions in quadratic media near type I phase matching conditions,” J. Opt. Soc. Am. B 14, 3143–3150 (1997).

[CrossRef]

G. Leo and G. Assanto, “Collisional interaction of vectorial spatial solitary waves in type II frequency-doubling media,” J. Opt. Soc. Am. B 14, 3151–3161 (1997).

[CrossRef]

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998).

[CrossRef]

A. V. Buryak and V. V. Steblina, “Soliton collisions in bulk quadratic media: comprehensive analytical and numerical study,” J. Opt. Soc. Am. B 16, 245–255 (1999).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

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