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

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Received: March 31, 2004

Revised: November 30, 2004

Published: March 2005

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Abstract

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

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Mathematics Subject Classification: 35Q35, 35B35, 76B25.

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