On asymptotic stability of solitary waves in discrete Klein–Gordon equation coupled to a nonlinear oscillator

DOI10.1080/00036810903277176zbMath1207.39021OpenAlexW1999687931WikidataQ58252958 ScholiaQ58252958MaRDI QIDQ3584658

Elena A. Kopylova

Publication date: 30 August 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903277176

zbMATH Keywords

solitary wavelong-time asymptoticsnonlinear oscillatordiscrete Klein-Gordon equationnonlinear eigenvalue equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Discrete version of topics in analysis (39A12) Partial difference equations (39A14) Stability theory for difference equations (39A30)

Related Items (5)

Global attractor for 3D Dirac equation with nonlinear point interaction ⋮ Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ On global attraction to solitary waves for the Klein–Gordon equation with concentrated nonlinearity ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Orbital stability and spectral properties of solitary waves of Klein-Gordon equation with concentrated nonlinearity

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