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The Solitary Waves Solutions of the Internal Wave Benjamin-Ono Equation

The Solitary Waves Solutions of the Internal Wave Benjamin-Ono Equation
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摘要 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. 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.
作者 Xianghua Meng
出处 《Journal of Applied Mathematics and Physics》 2014年第8期807-812,共6页 应用数学与应用物理(英文)
关键词 Internal Wave Benjamin-Ono EQUATION Soliton Interaction Internal Wave Benjamin-Ono Equation Soliton Interaction
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