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| Dynamical Behavior and Exact Traveling Wave Solutions for ThreeSpecial Variants of the Generalized Tzitzeica Equation |
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| KeyWord:Generalized Tzitzeica equation Solitary wave solution Periodic wave solution Peakon solution |
| Author Name | Affiliation | | Rongzheng Shu | Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China | | Haohao Qian | Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China | | Lina Zhang | Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China |
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| Abstract: |
| The dynamics and bifurcations of traveling wave solutions are
studied for three nonlinear wave equations. A new phenomenon, such
as a composed orbit, which consists of two or three heteroclinic
orbits, may correspond to a solitary wave solution, a periodic wave
solution or a peakon solution, is found for the equations. Some
previous results are extended. |
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