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

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dc.creatorKomech, Alexander
dc.creatorKomech, Andrew
dc.date2007-10-31
dc.date2008-01-31
dc.date.accessioned2026-07-07T09:34:47Z
dc.date.available2026-07-07T09:34:47Z
dc.descriptionWe 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.
dc.descriptionThis 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/
dc.identifierhttps://arxiv.org/abs/0711.0041
dc.identifierhttp://arxiv.org/abs/0711.0041
dc.identifierSIGMA 4 (2008), 010, 23 pages
dc.identifierdoi:10.3842/SIGMA.2008.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159619
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B41; 37K40; 37L30; 37N20; 81Q05
dc.titleGlobal Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
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