Stability of solitary waves for the Ostrovsky equation

Authors:
Yue Liu and Masahito Ohta

Journal:
Proc. Amer. Math. Soc. **136** (2008), 511-517

MSC (2000):
Primary 35B35, 35Q51, 76B25, 76B55, 76E07, 76U05

Published electronically:
November 3, 2007

MathSciNet review:
2358491

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Abstract | References | Similar Articles | Additional Information

Abstract: Considered herein is the Ostrovsky equation which is widely used to describe the effect of rotation on the surface and internal solitary waves in shallow water or the capillary waves in a plasma. It is shown that the solitary-wave solutions are orbitally stable for certain wave speeds.

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Additional Information

**Yue Liu**

Affiliation:
Department of Mathematics, The University of Texas at Arlington, Arlington, Texas 76019

Email:
yliu@uta.edu

**Masahito Ohta**

Affiliation:
Department of Mathematics, Saitama University, Saitama 338-8570, Japan

Email:
mohta@rimath.saitama-u.ac.jp

DOI:
http://dx.doi.org/10.1090/S0002-9939-07-09191-5

Keywords:
Ostrovsky equation,
solitary waves,
stability

Received by editor(s):
May 1, 2006

Published electronically:
November 3, 2007

Communicated by:
Michael I. Weinstein

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.