Stability of solitary wave solutions for equations of short and long dispersive waves

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dc.contributor.authorAngulo Pava, Jaime
dc.date.accessioned2021-07-19T16:33:25Z
dc.date.available2021-07-19T16:33:25Z
dc.date.issued2006-07-10
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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPava, J. A. (2006). Stability of solitary wave solutions for equations of short and long dispersive waves. <i>Electronic Journal of Differential Equations, 2006</i>(72), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13945
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDispersive wave equations
dc.subjectVariational methods
dc.subjectStability
dc.subjectSolitary wave solutions
dc.titleStability of solitary wave solutions for equations of short and long dispersive waves
dc.typeArticle

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