1. Exact three-wave solutions for the -dimensional Jimbo–Miwa equation
- Author
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Li, Zitian, Dai, Zhengde, and Liu, Jun
- Subjects
- *
NUMERICAL solutions to wave equations , *SOLITONS , *MATHEMATICAL physics , *NUMERICAL solutions to nonlinear evolution equations , *NONLINEAR waves , *GENERALIZATION - Abstract
Abstract: Exact three-wave solutions including periodic cross-kink wave solutions, doubly periodic solitary wave solutions and breather type of two-solitary wave solutions for the (3+1)-dimensional Jimbo–Miwa equation are obtained using the generalized three-wave method. It is shown that the generalized three-wave method, with the help of symbolic computation, provides an effective and powerful mathematical tool for solving high-dimensional nonlinear evolution equations in mathematical physics. [Copyright &y& Elsevier]
- Published
- 2011
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