| Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation |
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| 作者姓名： | Ji-bin LI |
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| 作者单位： | Ji-bin LI Department of Mathematics，Zhejiang Normal University，Jinhua 321004，China Kunming University of Science and Technology，Kunming 650093，China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant No. 11671179)，the Natural Science Foundation of Yunnan Province (Grant No. 2005A0092M). |
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| 摘 要： | 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 axe 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.
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Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation |
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| Ji-bin LI.Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation[J].Science in China(Mathematics),2007(2). |
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| Authors: | Ji-bin LI |
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| Institution: | Ji-bin LI Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China 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 axe 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. |
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| Keywords: | nonlinear wave bifurcation exact explicit traveling wave solution double sine-Gordon equation multiple sine-Gordon equation |
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