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| Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation | |
| 引用本文： | Ji-bin LI Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China Kunming University of Science and Technology,Kunming 650093,China. Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation[J]. 中国科学A辑(英文版), 2007, 0(2) |
| 作者姓名： | Ji-bin LI Department of Mathematics Zhejiang Normal University Jinhua 321004 China Kunming University of Science and Technology Kunming 650093 China |
| 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 |
| 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). |
| 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. |
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, 0(2) | |
| Authors: | Ji-bin LI |
| Affiliation: | Ji-bin LI Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China Kunming University of Science and Technology,Kunming 650093,China |
| 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. |
| Keywords: | nonlinear wave bifurcation exact explicit traveling wave solution double sine-Gordon equation multiple sine-Gordon equation. |
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