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Soliton Waves in Perturbed Generalized Nonlinear Schrodinger Equations

机译：扰动广义非线性薛定谔方程中的孤子波

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In this paper we study the stability and evolution of the solitary waves inperturbed generalized nonlinear Schroedinger equations. Our method is based on the completeness of the bounded eigen states of the associated linear operator in L2 space and a standard multiple scale perturbation technique. Unlike the adiabatic perturbation method ours uncovers all the instability mechanisms in the perturbed equations. As an example we consider the perturbed cubic-quintic nonlinear Schroedinger equation in detail and determine the stability regions of its solitary waves. The generalization of this method to other perturbed nonlinear wave systems is also discussed.

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