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Simulation of instability of bright solitons for NLS with saturating nonlinearity

Author

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  • Buslaev, V.S.
  • Grikurov, V.E.

Abstract

The paper deals with the generalized 1+1 nonlinear Schrödinger equation iut+uxx+|u|2pu−α|u|2qu=0,α>0,q>p, which is the model of laser propagation throughout nonlinear optic materials with a saturation. We are focus on the numerical study of the effect of soliton’s “self-compression” under small perturbations and on the trapping phenomena due to collisions.

Suggested Citation

  • Buslaev, V.S. & Grikurov, V.E., 2001. "Simulation of instability of bright solitons for NLS with saturating nonlinearity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(6), pages 539-546.
    • Handle: RePEc:eee:matcom:v:56:y:2001:i:6:p:539-546
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