Periodic Solutions to KdV-Burgers-Kuramoto Equation |
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| Authors: | JIANG Lei CHEN Xi FU Zun-Tao LIU Shi-Kuo LIU Shi-Da |
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| Affiliation: | 1. School of Physics, Peking University, Beijing 100871, China;2. State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, China |
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| Abstract: | In this paper, a new special ansatz solution, where ellipticequation satisfied by elliptic functions is taken as anintermediate transformation, is applied to solve theKdV-Burgers-Kuramoto equation, and many more new periodicsolutions are obtained, including solutions expressed in terms ofJacobi elliptic functions, solution expressed in terms ofWeierstrass elliptic function. |
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| Keywords: | elliptic equation Jacobi elliptic function Weierstrass elliptic function KdV-Burgers-Kuramoto equation |
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