Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation

Published 15 Jun 2012 in nlin.PS and math.AP | (1206.3502v1)

Abstract: We consider a derivative nonlinear Schr\"odinger 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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