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arXiv · 1206.3502

Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation

Xiao Liu·Gideon Simpson·Catherine Sulem
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Abstract

We consider a derivative nonlinear Schrödinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability/instability results that depend on the strength of the nonlinearity and, in some instances, their velocity. We illustrate these results with numerical simulations.

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Xiao Liu, Gideon Simpson, Catherine Sulem. 2012-06-15. Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation. https://arxiv.org/abs/1206.3502

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