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Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation
Journal article   Open access   Peer reviewed

Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation

Xiao Liu, Gideon Simpson and Catherine Sulem
Journal of nonlinear science, v 23(4), pp 557-583
2013
url
http://arxiv.org/abs/1206.3502View

Abstract

Analysis Article Classical Mechanics Economic Theory/Quantitative Economics/Mathematical Methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical
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, on the velocity. We illustrate these results with numerical simulations.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Mathematics, Applied
Mechanics
Physics, Mathematical
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