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Lie symmetries and exact solutions for a short-wave model

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【Author】 Chen Ai-Yong a) , Zhang Li-Na b) , and Wen Shuang-Quan a) a) School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China b) School of Science, Huzhou University, Huzhou 313000, China

【机构】 School of Mathematics and Computing Science, Guilin University of Electronic Technology； School of Science, Huzhou University；

【摘要】 In this paper, the Lie symmetry analysis and generalized symmetry method are performed for a short-wave model. The symmetries for this equation are given, and the phase portraits of the traveling wave systems are analyzed using the bifurcation theory of dynamical systems. The exact parametric representations of four types of traveling wave solutions are obtained.更多还原

【Abstract】 In this paper, the Lie symmetry analysis and generalized symmetry method are performed for a short-wave model. The symmetries for this equation are given, and the phase portraits of the traveling wave systems are analyzed using the bifurcation theory of dynamical systems. The exact parametric representations of four types of traveling wave solutions are obtained.更多还原

【关键词】 Lie symmetry； short-wave model； bifurcation method； loop solution；
【Key words】 Lie symmetry； short-wave model； bifurcation method； loop solution；

【基金】 Project supported by the Foundation of Guangxi Key Laboratory of Trusted Software, the Guangxi Natural Science Foundation, China (Grant No. 2011GXNSFA018134);the National Natural Science Foundation of China (Grant Nos. 11161013 and 61004101)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2013年04期

【分类号】O241.82
【被引频次】1
【下载频次】40

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