| BIFURCATIONS OF THE TRAVELLING WAVE SOLUTIONS TO A GENERALIZED CAMASSA-HOLM EQUATION |
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| 基金项目： | the National Natural Science Foundation of China (10571062);;the NaturalScience Foundation of Department Education of Yunnan Province (06Y147A, 5Z0071A). |
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| 摘 要： | In this paper, we study some generalized Camassa-Holm equation. Through the analysis of the phase-portraits, the existence of solitary wave, cusp wave, periodic wave, periodic cusp wave and compactons were discussed. In some certain parametric conditions, many exact solutions to the above travelling waves were given. Further-more, the 3D and 2D pictures of the above travelling wave solutions are drawn using Maple software.
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BIFURCATIONS OF THE TRAVELLING WAVE SOLUTIONS TO A GENERALIZED CAMASSA-HOLM EQUATION |
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| Authors: | Rui Weiguo Long Yao He Bin |
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| Institution: | Dept. of Math.;Honghe University;Mengzi 661100;Yunnan |
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| Abstract: | In this paper, we study some generalized Camassa-Holm equation. Through the analysis of the phase-portraits, the existence of solitary wave, cusp wave, periodic wave, periodic cusp wave and compactons were discussed. In some certain parametric conditions, many exact solutions to the above travelling waves were given. Further-more, the 3D and 2D pictures of the above travelling wave solutions are drawn using Maple software. |
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| Keywords: | travelling wave solution Camassa-Holm equation elastic rod model |
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