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Stability of solitary waves for the Ostrovsky equation |
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| Authors: | Yue Liu Masahito Ohta |
| Affiliation: | Department of Mathematics, The University of Texas at Arlington, Arlington, Texas 76019 ; Department of Mathematics, Saitama University, Saitama 338-8570, Japan |
| 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. |
| Keywords: | Ostrovsky equation solitary waves stability |
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