## Stability of solitary waves for the Ostrovsky equation

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- by Yue Liu and Masahito Ohta PDF
- Proc. Amer. Math. Soc.
**136**(2008), 511-517 Request permission

## 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.## References

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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
- Received by editor(s): May 1, 2006
- Published electronically: November 3, 2007
- Communicated by: Michael I. Weinstein
- © Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc.
**136**(2008), 511-517 - MSC (2000): Primary 35B35, 35Q51, 76B25, 76B55, 76E07, 76U05
- DOI: https://doi.org/10.1090/S0002-9939-07-09191-5
- MathSciNet review: 2358491