On Triply Periodic Wave Solutions for(2+1)-Dimensional Boussinesq Equation |
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| Authors: | WANG Jun-Min |
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| Institution: | Department of Mathematics and Information, Henan University of Finance and Law, Zhengzhou 450002, China |
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| Abstract: | By employing Hirota bilinear method and Riemann theta functions of genus one,explicit triply periodic wave solutions for the(2+1)-dimensional Boussinesq equation are constructed under the Backlund transformation u =(1 /6)(u0 1) + 2ln f(x,y,t)] xx,four kinds of triply periodic wave solutions are derived,and their long wave limit are discussed.The properties of one of the solutions are shown in Fig.1. |
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| Keywords: | Hirota bilinear method theta functions periodic wave solutions (+)-dimensional Boussinesq equation |
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