# American Institute of Mathematical Sciences

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

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