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Preprint
Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr\"odinger Equation
15 Jun 2012
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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Details
- Title
- Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr\"odinger Equation
- Creators
- Xiao LiuGideon SimpsonCatherine Sulem
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991019296806904721