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dc.contributor.authorAngulo Pava, Jaime ( Orcid Icon 0000-0002-7453-1782 )
dc.date.accessioned2021-07-19T16:33:25Z
dc.date.available2021-07-19T16:33:25Z
dc.date.issued2006-07-10
dc.identifier.citationPava, J. A. (2006). Stability of solitary wave solutions for equations of short and long dispersive waves. Electronic Journal of Differential Equations, 2006(72), pp. 1-18.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13945
dc.description.abstractIn this paper, we consider the existence and stability of a novel set of solitary-wave solutions for two models of short and long dispersive waves in a two layer fluid. We prove the existence of solitary waves via the Concentration Compactness Method. We then introduce the sets of solitary waves obtained through our analysis for each model and we show that them are stable provided the associated action is strictly convex. We also establish the existence of intervals of convexity for each associated action. Our analysis does not depend of spectral conditions.en_US
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.subjectDispersive wave equationsen_US
dc.subjectVariational methodsen_US
dc.subjectStabilityen_US
dc.subjectSolitary wave solutionsen_US
dc.titleStability of solitary wave solutions for equations of short and long dispersive wavesen_US
dc.typepublishedVersion


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