Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin–Ono equation
Publication Name
Physica D: Nonlinear Phenomena
Abstract
The interaction of a solitary wave with a long background periodic wave in a deep ocean is studied within the framework of the rotation modified Benjamin–Ono equation. Using a multiple scales analysis, 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 the soliton and caused by the Earth's rotation can be compensated by energy pumping from the background wave. However, the feedback 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. Estimates of the characteristic parameters of the soliton dynamics are presented for real oceanic conditions.
Open Access Status
This publication is not available as open access
Volume
419
Article Number
132867
Funding Number
NSH-2485.2020.5
Funding Sponsor
Ministry of Education and Science of the Russian Federation