Solitary waves of the rotation-generalized Benjamin-Ono equation

Amin Esfahani; Steve Levandosky

doi:10.3934/dcds.2013.33.663

Article Contents

2013, Volume 33, Issue 2: 663-700. Doi: 10.3934/dcds.2013.33.663

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Solitary waves of the rotation-generalized Benjamin-Ono equation

Amin Esfahani^1, and
Steve Levandosky^2,

1.
School of Mathematics and Computer Science, Damghan University, Damghan 36715-364
2.
Mathematics and Computer Science Department, College of the Holy Cross, Worcester, MA, 01610

Received: April 30, 2011

Revised: July 31, 2012

Published: January 2013

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Abstract

This work studies the rotation-generalized Benjamin-Ono equation which is derived from the theory of weakly nonlinear long surface and internal waves in deep water under the presence of rotation. It is shown that the solitary-wave solutions are orbitally stable for certain wave speeds.

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Mathematics Subject Classification: Primary: 35Q35, 76B55, 76U05; Secondary: 76B25, 35B35.

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