Article citationsMore>>

Grimshaw, R., Pelinovsky, E. and Talipova T. (1997) The Modified Korteweg-de Vries Equation in the Theory of Large-Amplitude Internal Waves. Nonlinear Processes in Geophysics, 4, 237-250.
http://dx.doi.org/10.5194/npg-4-237-1997

has been cited by the following article:

• 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.