Exact M/W-shape solitary wave solutions determined by a singular traveling wave equation |
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| Authors: | Jibin Li Yi Zhang |
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| Affiliation: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China;2. Kunming University of Science and Technology, Kunming 200062, PR China |
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| Abstract: | It had been found that some nonlinear wave equations have the so-called “W/M”-shape-peaks solitons. What is the dynamical behavior of these solutions? To answer this question, all traveling wave solutions in the parameter space are investigated for a integrable water wave equation from a dynamical systems theoretical point of view. Exact explicit parametric representations of all solitary wave solutions are given. |
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