| 广义KdV方程的精确行波解 |
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| 引用本文： | 王艳青,冯大河.广义KdV方程的精确行波解[J].桂林电子科技大学学报,2011,31(1):41-43,47. |
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| 作者姓名： | 王艳青 冯大河 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 摘 要： | 采用推广的Fan子方程法研究广义KdV方程的精确解.利用平衡法获得了子方程的参数约束条件,在此条件下应用动力系统分支理论和Fan子方程法研究了子方程的分支情况和动力学行为.最后,根据子方程的相图和首次积分获得了广义KdV方程一些新的精确解,如孤立波解、周期波解、扭波(反扭波)解和无界行波解等.
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| 关 键 词： | 广义KdV方程 推广的Fan子方程法 孤立波 周期波 |
Exact traveling wave solutions for generalized KdV equation |
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| Wang Yanqing,Feng Dahe.Exact traveling wave solutions for generalized KdV equation[J].Journal of Guilin Institute of Electronic Technology,2011,31(1):41-43,47. |
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| Authors: | Wang Yanqing Feng Dahe |
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| Affiliation: | Wang Yanqing,Feng Dahe(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | In this paper,the extended Fan sub-equation method is adopted to study the exact solutions of the generalized KdV equation.Firstly,parameters constraint condition of the sub-equation is obtained by using the balance method.Secondly,under the parameters condition,the bifurcation and dynamical behavior of the sub-equation are discussed by using the bifurcation theory of planar dynamical system.At last,some new exact solutions of the generalized KdV equation such as solitary wave solutions,periodic wave soluti... |
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| Keywords: | generalized KdV equation extended fan sub-equation solitary wave periodic wave |
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