非线性色散KdV方程的精确解  

On Exact Solution to Nonlinear Dispersion KdV Equation

作　　者：刘冬兵 林宗兵 谭千蓉 LIU Dong-bing;LIN Zong-bing;TAN Qian-rong(Department of Mathematics and Computer, Panzhihua University, Panzhihua Sichuan 617000, China)

机构地区：[1]攀枝花学院数学与计算机学院,四川攀枝花617000

出　　处：《西南师范大学学报（自然科学版）》2020年第6期21-28,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：四川省科技厅应用基础研究项目(2019YJ0683);攀枝花市市级项目(2019ZD-R-1);攀枝花学院科研项目(2016ZD010)。

摘　　要：利用行波变换,对非线性色散KdV方程进行了研究,获得了该方程的各类精确解,并讨论了这些解的动力学性质.通过图像模拟,直观地展示了部分精确解的动力学行为和动力学现象.In this paper,the nonlinear dispersion KdV equation has been studied by using the traveling wave transformation.We obtained some kinds of solutions to this equation and discussed the dynamic properties of these solutions.Through the image simulating,the dynamic behaviors and dynamic phenomena of some exact solutions are shown visually.

关 键 词：行波变换 非线性色散KdV方程 精确解 

分 类 号：O175.29[理学—数学]