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Travelling wave solutions for a second order wave equation of KdV type |
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| Authors: | Long Yao Li Ji-bin Rui Wei-guo He Bin |
| Affiliation: | Department of Mathematics, Honghe University, Mengzi 661100, Yunnan Provice, P. R. China;Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Provice, P. R. China;School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China |
| Abstract: | The theory of planar dynamical systems is used to study the dynamical behaviours of travelling wave solutions of a nonlinear wave equations of KdV type.In different regions of the parametric space,sufficient conditions to guarantee the existence of solitary wave solutions,periodic wave solutions,kink and anti-kink wave solutions are given.All possible exact explicit parametric representations are obtained for these waves. |
| Keywords: | solitary wave solution periodic wave solution kink wave and anti-kink wave solutions smooth and non-smooth periodic waves |
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