A Generalized Variable-Coefficient Algebraic Method Exactly Solving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation |
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| Authors: | BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong |
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| Affiliation: | Physical Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China Communication School, Shandong Normal University, Jinan 250014, China Physical Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | A generalized variable-coefficient algebraic method is applied to construct several new families of exact solutions of physical interestfor (3 1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh method, the extended tanh method, the Jacobi elliptic function method, and the algebraic method, the proposed method gives new and more general solutions. |
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| Keywords: | generalized variable-coefficient algebraic method (3 1)-dimensional KP equation exact explicit solutions |
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