Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation |
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| Authors: | Ji-bin Li Tian-lan He |
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| Institution: | [1]Center for Dynamical Systems and Nonlinear Studies, Kunming University of Science and Technology, Yunnan650093, China [2]Department of Mathematics, Zhejiang Normal University, Zhejiang 321004, China |
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| Abstract: | The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered.
By using the method of planar dynamical systems, in different parameter regions, the phase portraits of the corresponding
traveling wave system are given. Exact explicit kink wave solutions, periodic wave solutions and some unbounded wave solutions
are obtained. |
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| Keywords: | kink wave solution periodic wave solution qualitative method bifurcation elliptic function |
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