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The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation |
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| Authors: | Fang Yan Haihong Liu Zengrong Liu |
| Institution: | a Department of Mathematics, Shanghai University, Shanghai 200444, PR China b Department of Mathematics, Yunnan Normal University, Kunming 650092, PR China c Institute of Systems Biology, Shanghai University, Shanghai 200444, PR China |
| Abstract: | By using methods from dynamical systems theory, this paper researches the bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation. Implicit exact parametric representations of all travelling wave solutions as well as some explicit analytic solutions are given. Specially, breaking wave solutions are obtained, which KdV equation does not include. |
| Keywords: | Bifurcation Breaking wave solution Solitary wave solution Kink (anti-kink) wave solution Periodic wave solution |
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