Dynamics of NLS solitons described by the cubic-quintic Ginzburg-Landau equation
M. N. ZhuravlevMoscow State Institute of Electronic Engineering (Technical University), Zelenograd, Moscow, 103498, RussiaN. V. OstrovskayaMoscow State Institute of Electronic Engineering (Technical University), Zelenograd, Moscow, 103498, Russia
2004en
ABI
Abstract
The generalized moment method is applied to average the Ginzburg-Landau equation with quintic nonlinearity in the neighborhood of a soliton solution to the nonlinear Schrödinger equation. A qualitative analysis of the resulting dynamical system is presented. New soliton solutions bifurcating from a known exact soliton solution are obtained. The results of the qualitative analysis are compared with those obtained by direct numerical solution of the Ginzburg-Landau equation.
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