TITLE:
The Solitary Waves Solutions of the Internal Wave Benjamin-Ono Equation
AUTHORS:
Xianghua Meng
KEYWORDS:
Internal Wave Benjamin-Ono Equation, Soliton Interaction
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.8,
July
18,
2014
ABSTRACT: The Benjamin-ono
(BO) equation is an important nonlinear wave model which can describe the deep
oceanic internal wave propagation. In this paper, the multi-algebraic solitary
wave solutions for the internal wave BO equation including the linear velocity
term in matrix form are given by the bilinear form. Based on the analytic
solutions of the BO equation obtained in this paper and considering the
hydrological parameters, the propagation of one-solitary wave and different
kinds of interaction for the two-solitary waves are discussed and illustrated.