Stability of solitary wave solutions for equations of short and long dispersive waves
Date
2006-07-10
Authors
Angulo Pava, Jaime
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In 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.
Description
Keywords
Dispersive wave equations, Variational methods, Stability, Solitary wave solutions
Citation
Pava, 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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.