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

DOI10.1016/j.na.2009.01.188zbMath1167.35515OpenAlexW2010394074MaRDI QIDQ923962

Elena A. Kopylova

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.188

zbMATH Keywords

solitary wavesasymptotic stabilitydiscrete Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Global attractor for 3D Dirac equation with nonlinear point interaction ⋮ Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ Properties of the scattering matrix and dispersion estimates for Jacobi operators ⋮ On global attraction to solitary waves for the Klein–Gordon equation with concentrated nonlinearity ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Dispersion estimates for one-dimensional discrete Schrödinger and wave equations ⋮ Orbital stability and spectral properties of solitary waves of Klein-Gordon equation with concentrated nonlinearity ⋮ On asymptotic stability of solitary waves in discrete Klein–Gordon equation coupled to a nonlinear oscillator

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