Binary Bell Polynomials,Bilinear Approach to Exact Periodic Wave Solutions of (2+1)-Dimensional Nonlinear Evolution Equations |
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| Authors: | WANG Yun-Hu and CHEN Yong |
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| Institution: | 1.Software Engineering institute of East China Normal University Shanghai Key Laboratory of Trustworthy Computing, Shanghai 200062, China;2.Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Abstract: | In the present letter, we get the appropriate bilinear forms of(2+1)-dimensional KdV equation, extended (2+1)-dimensional shallow water wave equation and (2+1)-dimensional Sawada-Kotera equation in a quick and natural manner, namely by appling the binary Bell polynomials. Then the Hirota direct method and Riemann theta function are combined to construct the periodic wave solutions of the three types nonlinear evolution equations. And the corresponding figures of the periodic wave solutions are given. Furthermore, the asymptotic properties of the periodic wave solutions indicate that the soliton solutions can be derived from the periodic wave solutions. |
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| Keywords: | binary Bell polynomial Riemann theta function periodic wave solution asymptotic property |
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