Orbital stability of solitary waves for derivative nonlinear Schrödinger equation

DOI10.1007/s11854-018-0038-7zbMath1397.35282arXiv1603.03745OpenAlexW2963879384MaRDI QIDQ1661515

Y. Aharonov

Publication date: 16 August 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03745

zbMATH Keywords

orbital stabilityblow up criterionderivative nonlinear Schrödinger equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

Related Items (16)

Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations ⋮ Instability of degenerate solitons for nonlinear Schrödinger equations with derivative ⋮ Global well-posedness for the derivative nonlinear Schrödinger equation ⋮ Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ Traveling waves for a nonlinear Schrödinger system with quadratic interaction ⋮ On a class of solutions to the generalized derivative Schrödinger equations. II ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Local well-posedness for the derivative nonlinear Schrödinger equation with \(L^2\)-subcritical data ⋮ Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case ⋮ Potential well theory for the derivative nonlinear Schrödinger equation ⋮ On the derivative nonlinear Schrödinger equation on the half line with Robin boundary condition ⋮ Modulational instability of periodic standing waves in the derivative NLS equation ⋮ The derivative nonlinear Schrödinger equation: Global well-posedness and soliton resolution ⋮ On a class of solutions to the generalized derivative Schrödinger equations ⋮ Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation ⋮ Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach

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