Global attraction to solitary waves in models based on the Klein-Gordon equation

DOI10.3842/SIGMA.2008.010zbMath1137.35008arXiv0711.0041OpenAlexW2132991475MaRDI QIDQ2473550

Alexander I. Komech, Andrew Komech

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0041

zbMATH Keywords

unitary invariancedispersive Hamiltonian systemssolitary asymptoticsmultifrequency solitary waves

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Attractors of Hamilton nonlinear PDEs ⋮ Asymptotic stability of the vacuum solution for one‐dimensional nonlinear Klein‐Gordon equations with a perturbed one‐gap periodic potential with and without an eigenvalue ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices

This page was built for publication: Global attraction to solitary waves in models based on the Klein-Gordon equation