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Stability of solitary waves for the Ostrovsky equation
Author(s):
Yue
Liu;
Masahito
Ohta
Journal:
Proc. Amer. Math. Soc.
136
(2008),
511-517.
MSC (2000):
Primary 35B35, 35Q51, 76B25, 76B55, 76E07, 76U05
Posted:
November 3, 2007
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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:
10.1090/S0002-9939-07-09191-5
PII:
S 0002-9939(07)09191-5
Keywords:
Ostrovsky equation,
solitary waves,
stability
Received by editor(s):
May 1, 2006
Posted:
November 3, 2007
Communicated by:
Michael I. Weinstein
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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