Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
Analysis of PDEs
2008-04-25 v6 Mathematical Physics
math.MP
Abstract
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 waves. In general, the attractors may also contain multifrequency solitary waves; we give examples of systems which contain such solutions.
Keywords
Cite
@article{arxiv.0711.0041,
title = {Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation},
author = {Alexander Komech and Andrew Komech},
journal= {arXiv preprint arXiv:0711.0041},
year = {2008}
}
Comments
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/