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Kink wave determined by parabola solution of a nonlinear ordinary differential equation |
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| Authors: | Li Ji-bin Li Ming Na Jing |
| Institution: | Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China;School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;Department of Mathematics, Qujing Normal Institute, Qujing 655000, Yunnan Province, P. R. China;Computer Science Department, Yunnan University of Finance and Economics, Kunming 650221, P. R. China |
| Abstract: | By finding a parabola solution connecting two equilibrium points of a planar dynamical system,the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown.Some exact explicit parametric representations of kink wave solutions are given.Explicit parameter conditions to guarantee the existence of kink wave solutions are determined. |
| Keywords: | kink wave solution connecting orbit parabola solution nonlinear wave equation nonlinear evolution equation |
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