Travelling wave solutions for a second order wave equation of KdV type

被引:0
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作者
Yao Long
Ji-bin Li
Wei-guo Rui
Bin He
机构
[1] Honghe University,Department of Mathematics
[2] Zhejiang Normal University,Department of Mathematics
[3] Kunming University of Science and Technology,School of Science
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关键词
solitary wave solution; periodic wave solution; kink wave and anti-kink wave solutions; smooth and non-smooth periodic waves; O175.12; 37K40; 37K50;
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摘要
The theory of planar dynamical systems is used to study the dynamical behaviours of travelling wave solutions of a nonlinear wave equations of KdV type. In different regions of the parametric space, sufficient conditions to guarantee the existence of solitary wave solutions, periodic wave solutions, kink and anti-kink wave solutions are given. All possible exact explicit parametric representations are obtained for these waves.
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页码:1455 / 1465
页数:10
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