Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator

DOI10.1134/S1061920808040067zbMath1186.35205arXiv0805.3403OpenAlexW3103059523MaRDI QIDQ1033805

Elena A. Kopylova

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3403

zbMATH Keywords

solitary wavesasymptotic stabilitydiscrete Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (1)

On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator

Cites Work

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• On asymptotic stability of solitary waves for nonlinear Schrödinger equations
• On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator
• Multichannel nonlinear scattering for nonintegrable equations
• Dispersive estimates for 1D discrete Schrödinger and Klein–Gordon equations
• On Asymptotic Stability of Solitary Waves in Schrödinger Equation Coupled to Nonlinear Oscillator
• Modulational approach to stability of non-topological solitons in semilinear wave equations.

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