S. Hüller, Ph. Mounaix, and D. Pesme, “Numerical simulation of filamentation and its interplay with SBS inunderdense plasmas,” Phys. Scr. T63, 151 (1996).

[CrossRef]

I. M. Uzunov, V. S. Gerdjikov, M. Gölles, and F. Lederer, “On the description of N-soliton interaction in opticalfibers,” Opt. Commun. 125, 237 (1996).

[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetrybreaking to spatial turbulence,” Phys. Rev. A 54, 870 (1996).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christov, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in asaturable nonlinear medium,” Phys. Rev. Lett. 76, 2698 (1996).

[CrossRef]
[PubMed]

L. Bergé and J. Juul Rasmussen, “Multi-splitting and collapse of self-focusing anisotropic beams innormal/anomalous dispersive media,” Phys. Plasmas 3, 824 (1996).

[CrossRef]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Break-up of two-dimensional bright spatial solitons due to transversemodulation instability,” Europhys. Lett. 35, 25 (1996).

[CrossRef]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

Yu. B. Gaididei, K. Ø. Rasmussen, and P. L. Christiansen, “Nonlinear excitations in two-dimensional molecular structures withimpurities,” Phys. Rev. E 52, 2951 (1995).

[CrossRef]

T. Okamawari, A. Hasegawa, and Y. Kodama, “Analyses of soliton interactions by means of a perturbed inverse-scatteringtransform,” Phys. Rev. A 51, 3203 (1995).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

K. Rypdal and J. Juul Rasmussen, “Stability of solitary structures in the nonlinear Schrödingerequation,” Phys. Scr. 40, 192 (1989).

[CrossRef]

C. J. McKinstrie and D. A. Russel, “Nonlinear focusing of coupled waves,” Phys. Rev. Lett. 61, 2929 (1988).

[CrossRef]
[PubMed]

E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, “Soliton stability in plasmas and hydrodynamics,” Phys. Rep. 142, 103 (1986).

[CrossRef]

See, for a review, J. Juul Rasmussen and K. Rypdal, “Blow-up in nonlinear Schrödinger equations I. A general review,” Phys. Scr. 33, 481 (1986).

[CrossRef]

D. Anderson and M. Lisak, “Bandwidth limits due to mutual pulse interaction in optical solitoncommunication systems,” Opt. Lett. 11, 174 (1986).

[CrossRef]

V. I. Karpman and V. V. Solov'ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487 (1981).

[CrossRef]

K. A. Gorshkov and L. A. Ostrovsky, “Interactions of solitons in non-integrable systems: direct perturbationmethod and applications,” Physica D 3, 428 (1981).

[CrossRef]

N. Akhmediev and J. M. Soto-Crespo, “Generation of a train of three-dimensional optical solitons in a self-focusingmedium,” Phys. Rev. A 47, 1358 (1993).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetrybreaking to spatial turbulence,” Phys. Rev. A 54, 870 (1996).

[CrossRef]
[PubMed]

L. Bergé and J. Juul Rasmussen, “Multi-splitting and collapse of self-focusing anisotropic beams innormal/anomalous dispersive media,” Phys. Plasmas 3, 824 (1996).

[CrossRef]

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

[CrossRef]
[PubMed]

Yu. B. Gaididei, K. Ø. Rasmussen, and P. L. Christiansen, “Nonlinear excitations in two-dimensional molecular structures withimpurities,” Phys. Rev. E 52, 2951 (1995).

[CrossRef]

V. Tikhonenko, J. Christov, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in asaturable nonlinear medium,” Phys. Rev. Lett. 76, 2698 (1996).

[CrossRef]
[PubMed]

Yu. B. Gaididei, K. Ø. Rasmussen, and P. L. Christiansen, “Nonlinear excitations in two-dimensional molecular structures withimpurities,” Phys. Rev. E 52, 2951 (1995).

[CrossRef]

I. M. Uzunov, V. S. Gerdjikov, M. Gölles, and F. Lederer, “On the description of N-soliton interaction in opticalfibers,” Opt. Commun. 125, 237 (1996).

[CrossRef]

I. M. Uzunov, V. S. Gerdjikov, M. Gölles, and F. Lederer, “On the description of N-soliton interaction in opticalfibers,” Opt. Commun. 125, 237 (1996).

[CrossRef]

K. A. Gorshkov and L. A. Ostrovsky, “Interactions of solitons in non-integrable systems: direct perturbationmethod and applications,” Physica D 3, 428 (1981).

[CrossRef]

T. Okamawari, A. Hasegawa, and Y. Kodama, “Analyses of soliton interactions by means of a perturbed inverse-scatteringtransform,” Phys. Rev. A 51, 3203 (1995).

[CrossRef]
[PubMed]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

S. Hüller, Ph. Mounaix, and D. Pesme, “Numerical simulation of filamentation and its interplay with SBS inunderdense plasmas,” Phys. Scr. T63, 151 (1996).

[CrossRef]

V. I. Karpman and V. V. Solov'ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487 (1981).

[CrossRef]

T. Okamawari, A. Hasegawa, and Y. Kodama, “Analyses of soliton interactions by means of a perturbed inverse-scatteringtransform,” Phys. Rev. A 51, 3203 (1995).

[CrossRef]
[PubMed]

E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, “Soliton stability in plasmas and hydrodynamics,” Phys. Rep. 142, 103 (1986).

[CrossRef]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

I. M. Uzunov, V. S. Gerdjikov, M. Gölles, and F. Lederer, “On the description of N-soliton interaction in opticalfibers,” Opt. Commun. 125, 237 (1996).

[CrossRef]

V. Tikhonenko, J. Christov, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in asaturable nonlinear medium,” Phys. Rev. Lett. 76, 2698 (1996).

[CrossRef]
[PubMed]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Break-up of two-dimensional bright spatial solitons due to transversemodulation instability,” Europhys. Lett. 35, 25 (1996).

[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetrybreaking to spatial turbulence,” Phys. Rev. A 54, 870 (1996).

[CrossRef]
[PubMed]

C. J. McKinstrie and D. A. Russel, “Nonlinear focusing of coupled waves,” Phys. Rev. Lett. 61, 2929 (1988).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

S. Hüller, Ph. Mounaix, and D. Pesme, “Numerical simulation of filamentation and its interplay with SBS inunderdense plasmas,” Phys. Scr. T63, 151 (1996).

[CrossRef]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

T. Okamawari, A. Hasegawa, and Y. Kodama, “Analyses of soliton interactions by means of a perturbed inverse-scatteringtransform,” Phys. Rev. A 51, 3203 (1995).

[CrossRef]
[PubMed]

K. A. Gorshkov and L. A. Ostrovsky, “Interactions of solitons in non-integrable systems: direct perturbationmethod and applications,” Physica D 3, 428 (1981).

[CrossRef]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

S. Hüller, Ph. Mounaix, and D. Pesme, “Numerical simulation of filamentation and its interplay with SBS inunderdense plasmas,” Phys. Scr. T63, 151 (1996).

[CrossRef]

L. Bergé and J. Juul Rasmussen, “Multi-splitting and collapse of self-focusing anisotropic beams innormal/anomalous dispersive media,” Phys. Plasmas 3, 824 (1996).

[CrossRef]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

K. Rypdal and J. Juul Rasmussen, “Stability of solitary structures in the nonlinear Schrödingerequation,” Phys. Scr. 40, 192 (1989).

[CrossRef]

See, for a review, J. Juul Rasmussen and K. Rypdal, “Blow-up in nonlinear Schrödinger equations I. A general review,” Phys. Scr. 33, 481 (1986).

[CrossRef]

Yu. B. Gaididei, K. Ø. Rasmussen, and P. L. Christiansen, “Nonlinear excitations in two-dimensional molecular structures withimpurities,” Phys. Rev. E 52, 2951 (1995).

[CrossRef]

E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, “Soliton stability in plasmas and hydrodynamics,” Phys. Rep. 142, 103 (1986).

[CrossRef]

C. J. McKinstrie and D. A. Russel, “Nonlinear focusing of coupled waves,” Phys. Rev. Lett. 61, 2929 (1988).

[CrossRef]
[PubMed]

K. Rypdal and J. Juul Rasmussen, “Stability of solitary structures in the nonlinear Schrödingerequation,” Phys. Scr. 40, 192 (1989).

[CrossRef]

See, for a review, J. Juul Rasmussen and K. Rypdal, “Blow-up in nonlinear Schrödinger equations I. A general review,” Phys. Scr. 33, 481 (1986).

[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetrybreaking to spatial turbulence,” Phys. Rev. A 54, 870 (1996).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Break-up of two-dimensional bright spatial solitons due to transversemodulation instability,” Europhys. Lett. 35, 25 (1996).

[CrossRef]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

V. I. Karpman and V. V. Solov'ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487 (1981).

[CrossRef]

N. Akhmediev and J. M. Soto-Crespo, “Generation of a train of three-dimensional optical solitons in a self-focusingmedium,” Phys. Rev. A 47, 1358 (1993).

[CrossRef]
[PubMed]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

V. Tikhonenko, J. Christov, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in asaturable nonlinear medium,” Phys. Rev. Lett. 76, 2698 (1996).

[CrossRef]
[PubMed]

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

I. M. Uzunov, V. S. Gerdjikov, M. Gölles, and F. Lederer, “On the description of N-soliton interaction in opticalfibers,” Opt. Commun. 125, 237 (1996).

[CrossRef]

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

[CrossRef]
[PubMed]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, “Soliton stability in plasmas and hydrodynamics,” Phys. Rep. 142, 103 (1986).

[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetrybreaking to spatial turbulence,” Phys. Rev. A 54, 870 (1996).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Break-up of two-dimensional bright spatial solitons due to transversemodulation instability,” Europhys. Lett. 35, 25 (1996).

[CrossRef]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, “Break-up of two-dimensional bright spatial solitons due to transversemodulation instability,” Europhys. Lett. 35, 25 (1996).

[CrossRef]

I. M. Uzunov, V. S. Gerdjikov, M. Gölles, and F. Lederer, “On the description of N-soliton interaction in opticalfibers,” Opt. Commun. 125, 237 (1996).

[CrossRef]

D. Anderson and M. Lisak, “Bandwidth limits due to mutual pulse interaction in optical solitoncommunication systems,” Opt. Lett. 11, 174 (1986).

[CrossRef]

J. P. Gordon, “Interaction forces among solitons in optical fibers,” Opt. Lett. 8, 596 (1983).

[CrossRef]
[PubMed]

N. N. Akhmediev, V. I. Korneev, and R. F. Nabiev, “Modulation instability of the ground state of the nonlinear wave equation:optical machine gun,” Opt. Lett. 17, 393 (1992).

[CrossRef]
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[CrossRef]
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[CrossRef]
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J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M. R. Schmidt, E. A. Shapiro, and S. K. Turitsyn, “Dynamics of a nonlinear dipole vortex,” Phys. Fluids 7, 2220 (1995).

[CrossRef]

L. Bergé and J. Juul Rasmussen, “Multi-splitting and collapse of self-focusing anisotropic beams innormal/anomalous dispersive media,” Phys. Plasmas 3, 824 (1996).

[CrossRef]

E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, “Soliton stability in plasmas and hydrodynamics,” Phys. Rep. 142, 103 (1986).

[CrossRef]

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

[CrossRef]
[PubMed]

N. Akhmediev and J. M. Soto-Crespo, “Generation of a train of three-dimensional optical solitons in a self-focusingmedium,” Phys. Rev. A 47, 1358 (1993).

[CrossRef]
[PubMed]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, “Propagation of light beams in anisotropic nonlinear media: from symmetrybreaking to spatial turbulence,” Phys. Rev. A 54, 870 (1996).

[CrossRef]
[PubMed]

T. Okamawari, A. Hasegawa, and Y. Kodama, “Analyses of soliton interactions by means of a perturbed inverse-scatteringtransform,” Phys. Rev. A 51, 3203 (1995).

[CrossRef]
[PubMed]

Yu. B. Gaididei, K. Ø. Rasmussen, and P. L. Christiansen, “Nonlinear excitations in two-dimensional molecular structures withimpurities,” Phys. Rev. E 52, 2951 (1995).

[CrossRef]

C. J. McKinstrie and D. A. Russel, “Nonlinear focusing of coupled waves,” Phys. Rev. Lett. 61, 2929 (1988).

[CrossRef]
[PubMed]

V. Tikhonenko, J. Christov, and B. Luther-Davies, “Three dimensional bright spatial soliton collision and fusion in asaturable nonlinear medium,” Phys. Rev. Lett. 76, 2698 (1996).

[CrossRef]
[PubMed]

See, for a review, J. Juul Rasmussen and K. Rypdal, “Blow-up in nonlinear Schrödinger equations I. A general review,” Phys. Scr. 33, 481 (1986).

[CrossRef]

S. Hüller, Ph. Mounaix, and D. Pesme, “Numerical simulation of filamentation and its interplay with SBS inunderdense plasmas,” Phys. Scr. T63, 151 (1996).

[CrossRef]

K. Rypdal and J. Juul Rasmussen, “Stability of solitary structures in the nonlinear Schrödingerequation,” Phys. Scr. 40, 192 (1989).

[CrossRef]

M. J. Landman, G. C. Papanicolaou, C. Sulem, P. L. Sulem, and X. P. Wang, “Stability of isotropic singularities for the nonlinear Schrödingerequation,” Physica D 47, 393 (1991).

[CrossRef]

V. I. Karpman and V. V. Solov'ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487 (1981).

[CrossRef]

K. A. Gorshkov and L. A. Ostrovsky, “Interactions of solitons in non-integrable systems: direct perturbationmethod and applications,” Physica D 3, 428 (1981).

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P. G. Saffman, Vortex Dynamics (CambridgeU. Press, Cambridge, 1992).