Exact Explicit Peakon and Periodic Cusp Wave Solutions for Several Nonlinear Wave Equations |
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| Authors: | Jibin Li |
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| Institution: | (1) Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, People’s Republic China;(2) Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, People’s Republic China |
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| Abstract: | Using the method of dynamical systems for six nonlinear wave equations, the exact explicit parametric representations of the
solitary cusp wave solutions and the periodic cusp wave solutions are given. These parametric representations follow that
when travelling systems corresponding to these nonlinear wave equations has a singular straight line, under some parameter
conditions, nonanalytic travelling wave solutions must appear.
Dedicated to Professor Zhifen Zhang on the occasion of her 80th birthday |
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| Keywords: | Nonlinear wave equation Solitary wave Periodic wave Exact explicit solution Smoothnees of wave |
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