Exact traveling wave solutions and dynamical behavior for the (<Emphasis Type="Italic">n</Emphasis> + 1)-dimensional multiple sine-Gordon equation |
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| Authors: | Ji-bin Li |
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| Institution: | (1) Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China;(2) Kunming University of Science and Technology, Kunming, 650093, China |
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| Abstract: | Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking
bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of
the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are
determined.
This work was supported by the National Natural Science Foundation of China (Grant No. 11671179) and the Natural Science Foundation
of Yunnan Province (Grant No. 2005A0092M). |
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| Keywords: | nonlinear wave bifurcation exact explicit traveling wave solution double sineGordon equation multiple sine-Gordon equation |
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