New Approach to Find Exact Solutions to Classical Boussinesq System |
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| Authors: | ZHI Hong-Yan ZHAO Xue-Qin ZHANG Hong-Qing |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;Department of Mathematics, Qufu Normal University, Qufu 273165, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper, based on a new system of three Riccati equations, we give a new method to construct more new exact solutions of nonlinear differential equations in mathematical physics. The classical Boussinesq system is chosen to illustrate our method. As a consequence, more families of new exact solutions are obtained, which include solitary wave solutions and periodic solutions. |
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| Keywords: | classical Boussinesq system solitary solution periodic solution |
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