New Peakons and Periodic Peakons of the Modified Camassa-Holm Equation |
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| Authors: | Xinhui Lu Lin Lu Aiyong Chen |
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| Institution: | School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China;Department of Mathematics, Hunan First Normal University, Changsha, Hunan 410205, China; School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China; Department of Mathematics, Hunan First Normal University, Changsha, Hunan 410205, China |
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| Abstract: | In this paper, we obtain new peakon and periodic peakon solutions
to a modified Camassa-Holm equation. We change the modified Camassa-
Holm equation into a planar system. Then the first integral and algebraic
curves of this system are obtained. By using the first integral and algebraic
curves, a new peakon solution is given by hyperbolic function. Moreover, some
new periodic peakons are given by elliptic functions and triangle functions. |
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| Keywords: | Camassa-Holm equation Peakon Periodic peakon Solitary wave Periodic wave |
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