New peakon, solitary wave and periodic wave solutions for the modified Camassa-Holm equation |
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| Authors: | Bin He |
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| Affiliation: | Center for Nonlinear Science Studies, College of Mathematics of Honghe University, Mengzi, Yunnan, 661100, PR China |
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| Abstract: | ![]()
In this paper, an independent variable transformation is introduced to solve the modified Camassa-Holm equation using the bifurcation theory and the method of phase portrait analysis. Some peakons, solitary waves and periodic waves are found and their exact parametric representations in explicit form and in implicit form are obtained. |
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| Keywords: | 34C37 34G20 34K18 74J30 |
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