Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin–Ono equation

R.H.J. Grimshaw, Noel F Smyth, Y.A. Stepanyants

Research output: Contribution to journalArticlepeer-review

Abstract

Interaction of a solitary wave with a long background wave is studied within the framework of rotation modified Benjamin-Ono equation describing internal waves in a deep fluid. With the help of asymptotic method, we find stationary and nonstationary solutions for a Benjamin-Ono soliton trapped within a long sinusoidal wave. We show that the radiation losses experienced by a soliton and caused by the Earth rotation can be compensated by the energy pumping from the background wave. However, the back influence of the soliton on the background wave eventually leads to the destruction of the coherent structure and energy dispersion in a quasi-random wave field.
Original languageEnglish
Article number132867
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Volume419
Early online date9 Feb 2021
DOIs
Publication statusPublished - 31 May 2021

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