Instability of solitary waves for nonlinear Schr\"odinger equations of derivative type
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Publication:5500370
zbMath1328.35217arXiv1408.5537MaRDI QIDQ5500370
Publication date: 5 August 2015
Full work available at URL: https://arxiv.org/abs/1408.5537
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
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On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations ⋮ Instability of degenerate solitons for nonlinear Schrödinger equations with derivative ⋮ Orbital stability of solitary waves for derivative nonlinear Schrödinger equation ⋮ A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case ⋮ Potential well theory for the derivative nonlinear Schrödinger equation ⋮ Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach
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