INSTABILITY OF SOLITARY WAVE SOLUTIONS OF A CLASS OF NONLINEAR DISPERSIVE SYSTEMS

TitleINSTABILITY OF SOLITARY WAVE SOLUTIONS OF A CLASS OF NONLINEAR DISPERSIVE SYSTEMS
Publication TypeJournal Article
Year of Publication2004
AuthorsHakkaev S
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume96
Keywordsdispersive system, solitary waves, stability
Abstract

In this paper the orbital stability and instability properties of solitary wave solutions of a class of nonlinear dispersive systems are studied. By applying the abstract results of Grillakis et al. ([11]), we obtain the stability of the solitary waves.

2000 MSC

35B35, 35B40, 35Q35

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