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Dynamical Behavior and Exact Traveling Wave Solutions for Three Special Variants of the Generalized Tzitzeica Equation |
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| Authors: | Rongzheng Shu Haohao Qian Lina Zhang |
| Institution: | Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China |
| 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. |
| Keywords: | Generalized Tzitzeica equation Solitary wave solution Periodic wave solution Peakon solution |
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