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Explicit and implicit solutions of a generalized Camassa-Holm Kadomtsev-Petviashvili equation |
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| Authors: | Shaolong Xie Lin Wang |
| Institution: | a Department of Mathematics and Statistics, Business School, Yuxi Normal University, Yuxi, Yunnan 653100, PR China b Statistic and Mathematics College, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, PR China c School of Information Technology and Engineering, Yuxi Normal University, Yuxi, Yunnan 653100, PR China |
| Abstract: | In this paper, a generalized Camassa-Holm Kadomtsev-Petviashvili (gCH-KP) equation is studied. As a result, under different parameter conditions, the bounded travelling wave solutions such as periodic waves, periodic cusp waves, solitary waves, peakons, loops and kink waves are given, and the dynamic characters of these solutions are investigated. |
| Keywords: | gCH-KP equation Periodic wave Periodic cusp wave Peakon Loop Kink wave |
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