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Periodic Wave, Solitary Wave and Compacton Solutions of a Nonlinear Wave Equation with Degenerate Dispersion

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【Author】 ZHU Wen-Jing;CHEN Ai-Yong;LIU Qi-Huai;School of Mathematics and Computing Science, Guilin University of Electronic Technology;

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

【摘要】 In this letter, we investigate traveling wave solutions of a nonlinear wave equation with degenerate dispersion. The phase portraits of corresponding traveling wave system are given under different parametric conditions. Some periodic wave and smooth solitary wave solutions of the equation are obtained. Moreover, we find some new hyperbolic function compactons instead of well-known trigonometric function compactons by analyzing nilpotent points.更多还原

【Abstract】 In this letter, we investigate traveling wave solutions of a nonlinear wave equation with degenerate dispersion. The phase portraits of corresponding traveling wave system are given under different parametric conditions. Some periodic wave and smooth solitary wave solutions of the equation are obtained. Moreover, we find some new hyperbolic function compactons instead of well-known trigonometric function compactons by analyzing nilpotent points.更多还原

【关键词】 degenerate equation； periodic wave solutions； solitary wave solutions； compacton solutions；
【Key words】 degenerate equation； periodic wave solutions； solitary wave solutions； compacton solutions；

【基金】 Supported by the National Natural Science Foundation of China under Grant Nos.11161013,11361017,and 11301106;Foundation of Guangxi Key Lab of Trusted Software and Program for Innovative Research Team of Guilin University of Electronic Technology;Project of Outstanding Young Teachers’Training in Higher Education Institutions of Guangxi

【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2015年01期

【分类号】O175.29
【被引频次】1
【下载频次】58

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