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Theta-function Solutions to the (2+1)-Dimensional Breaking Soliton Equation |
| WANG Jun-Min1**, YANG Xiao2
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1Department of Mathematics and Information Science, Henan University of Finance and Economics, Zhenzhou 450002
2Department of Mathematics, Zhengzhou University, Zhengzhou 450002
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| Cite this article: |
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WANG Jun-Min, YANG Xiao 2011 Chin. Phys. Lett. 28 090203 |
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Abstract A new periodic wave solution in terms of theta functions is presented for a kind of elliptic equation. Based on the results, with the help of Mathematica and the improved generalized F-expansion method, some periodic wave solutions in terms of theta functions are obtained for the (2+1)-dimensional breaking soliton equation. In addition, x-direction periodic wave solutions are derived, their properties and profiles are displayed in 3D figures. To our knowledge, these solutions are reported for the first time.
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| Keywords:
02.30.Ik
03.65.Ge
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Received: 01 March 2011
Published: 30 August 2011
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| PACS: |
02.30.Ik
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(Integrable systems)
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03.65.Ge
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(Solutions of wave equations: bound states)
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