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New Analytical Solutions for Time Fractional benjamin–ono Equation Arising Internal Waves in Deep Water

China Ocean Engineering 2019年第5期33卷 593-600页

作者： Orkun TASBOZAN Department of Mathematics Faculty of Science and Art Mustafa Kemal University

In this article, the author sets up the abundant traveling wave solutions for time fractional benjamin–ono equation which was introduced to describe internal waves in stratified fluids by using Jacobi elliptic function expansion method. The traveling wave solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. It can be seen that the obtained results are found to be important for the statement of some physical demonstrations of problems in mathematical physics and ocean engineering. In ocean engineering benjamin–ono equations are generally used in computer simulation for the water waves in deep water and open seas.

关键词： Jacobi elliptic function expansion method benjamin-ono equation conformable fractional derivative

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The Solitary Waves Solutions of the Internal Wave benjamin-ono Equation

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Journal of Applied Mathematics and Physics 2014年第8期2卷 807-812页

作者： Xianghua Meng School of Applied Science Beijing Information Science and Technology University Beijing China

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.

关键词： Internal Wave benjamin-ono Equation Soliton Interaction

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