Discrete and Continuous Dynamical Systems - Series A (DCDS-A)

Solitary waves of the rotation-generalized Benjamin-Ono equation

Pages: 663 - 700, Volume 33, Issue 2, February 2013      doi:10.3934/dcds.2013.33.663

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Amin Esfahani - School of Mathematics and Computer Science, Damghan University, Damghan 36715-364, Iran (email)
Steve Levandosky - Mathematics and Computer Science Department, College of the Holy Cross, Worcester, MA, 01610, United States (email)

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.

Keywords:  RGBO equation, solitary waves, stability.
Mathematics Subject Classification:  Primary: 35Q35, 76B55, 76U05; Secondary: 76B25, 35B35.

Received: May 2011;      Revised: August 2012;      Available Online: September 2012.