Stability of solitary waves for the Ostrovsky equation

Liu, Yue; Ohta, Masahito

doi:10.1090/S0002-9939-07-09191-5

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.

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