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Exact traveling wave solutions for a modified Camassa-Holm equation |
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| Authors: | Jionghui Cai Wen Qiu |
| Institution: | a Department of Mathematics, Faculty of Sciences, Yuxi Normal University, Yuxi 653100, PR China b Department of Computer Science, Yuxi Normal University, Yuxi 653100, Yunnan, PR China c Department of Mathematics, Neimenggu, Normal University, Huhehaote 010022, Neimenggu, PR China |
| Abstract: | In this paper, the bifurcation method of planar dynamical systems is utilized to investigate a modified Camassa-Holm equation. After dividing the parametric space, some explicit parametric conditions are derived for the existence of traveling wave solutions. Several exact traveling solutions are also obtained. |
| Keywords: | A modified Camassa-Holm equation Bifurcation Homoclinic orbit Solitary wave Periodic wave |
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