Nonlinear stability of solitary waves for a 2-d Benney--Luke equation

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April 2005, 13(1): 203-218. doi: 10.3934/dcds.2005.13.203

Nonlinear stability of solitary waves for a 2-d Benney--Luke equation

1.	Departamento de Matemáticas, Universidad del Valle, A. A. 25360, Cali, Colombia

Received April 2004 Revised December 2004 Published March 2005

Abstract
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We study orbital stability of solitary wave of least energy for a nonlinear Benney-Luke equation that models long water waves with small amplitude.

Keywords: concentration-compactness, convexity, modulated energy, orbital stability., Solitary waves.

Mathematics Subject Classification: 35Q35, 35B35, 76B2.

Citation: José R. Quintero. Nonlinear stability of solitary waves for a 2-d Benney--Luke equation. Discrete & Continuous Dynamical Systems - A, 2005, 13 (1) : 203-218. doi: 10.3934/dcds.2005.13.203

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