Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation

Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation

We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary...

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Bibliographic Details
Main Authors: Andrew A. Komech, Alexander I. Komech
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
global attractors
solitary waves
solitary asymptotics
nonlinear Klein-Gordon equation
dispersive Hamiltonian systems
unitary invariance
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.010

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