| 一类广义强色散DGH方程的精确行波解 |
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| 引用本文： | 孟霞,冯大河,肖军均,程源泉.一类广义强色散DGH方程的精确行波解[J].吉林大学学报(理学版),2015,53(6):1105-1111. |
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| 作者姓名： | 孟霞 冯大河 肖军均 程源泉 |
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| 作者单位： | 1. 桂林电子科技大学 数学与计算科学学院, 广西 桂林 541004；2. 广西密码学与信息安全重点实验室, 广西 桂林 541004 |
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| 摘 要： | 借助符号计算软件MAPLE,采用推广的Fan子方程法研究一类广义强色散DGH方程,得到了两组参数约束条件以及子方程的所有分支结构,并通过定性分析获得了该方程的一些行波解:孤立波解、扭波解、周期波解,给出了解的波形图.
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| 关 键 词： | 广义强色散DGH方程 推广的Fan子方程法 孤立波解 扭波解 周期波解 |
| 收稿时间： | 2015-01-12 |
Exact and Explicit Solutions of One Type of the Generalized DGH Equation with Strong Dispersive Term |
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| MENG Xia,FENG Dahe,XIAO Junjun,CHENG Yuanquan.Exact and Explicit Solutions of One Type of the Generalized DGH Equation with Strong Dispersive Term[J].Journal of Jilin University: Sci Ed,2015,53(6):1105-1111. |
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| Authors: | MENG Xia FENG Dahe XIAO Junjun CHENG Yuanquan |
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| Institution: | 1. School of Mathematics and Computational Sciences, Guilin University of Electronic Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China； 2. Guangxi Key Laboratory of Cryptography and Information Security, Guilin 541004,Guangxi Zhuang Autonomous Region, China |
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| Abstract: | To study one type of the generalized DGH equation with strong dispersive term, the improved Fan sub equation method was used toinvestigate the exact travelling wave solutions with the aid of MAPLE. As a result, two sets of parameters constraints and all bifurcation structure of sub-equation were obtained. Based on qualitative analysis, abundant solutions including the solitary wave solutions, kink wave solutions and periodic wave solutions were obtained, with the wave profiles of these solutions given as well. |
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| Keywords: | generalized DGH equation with strong dispersive term improved Fan sub equation method solitary wave solution kink wave solution periodic wave solution |
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