An algebraic method exactly solving two high-dimensional nonlinear evolution equations |
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Institution: | 1. Department of Mathematics, Jashore University of Science and Technology, Jashore 7408, Bangladesh;2. Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh |
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Abstract: | An algebraic method is applied to construct soliton solutions, doubly periodic solutions and a range of other solutions of physical interest for two high-dimensional nonlinear evolution equations. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the solutions at a certain limit condition. Compared with most existing tanh methods, the proposed method gives new and more general solutions. More importantly, the method provides a guideline to classify the various types of the solutions according to some parameters. |
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