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

Vernadsky National Library of Ukraine

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Title Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio
 
Creator Komech, A.I.
Komech, A.A.
 
Description 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.
 
Date 2019-02-19T12:19:34Z
2019-02-19T12:19:34Z
2008
 
Type Article
 
Identifier Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio / A.I. Komech, A.A. Komech // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 58 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 35B41; 37K40; 37L30; 37N20; 81Q05
http://dspace.nbuv.gov.ua/handle/123456789/148974
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України