非线性色散波K(2,2)方程的精确解及动力学性质  

The Exact Solutions and their Dynamical Properties of Nonlinear Dispersive Wave K(2,2)Equation

作　　者：吴春 WU Chun(School of Mathematics Science,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2023年第3期78-85,共8页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金面上项目(No.11671062);重庆市自然科学基金面上项目(No.cstc2019jcyj-msxmX0390);重庆市教育科学规划课题年度规划一般课题《现代信息技术与高校数学教学深度融合实践研究》(No.K22YG205144)。

摘　　要：【目的】研究了非线性色散波K(2,2)方程的行波解问题。【方法】利用行波变换研究了非线性色散波K(2,2)方程的行波解问题。【结果】获得了非线性色散波K(2,2)方程的各种精确行波解,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演化现象。【结论】研究发现部分解具有奇异性质,与现有文献中的结果相比,获得的精确解都是新结果,而且求解方法和技巧较之前文献中的要简便许多。[Purposes]The traveling wave solution of nonlinear dispersive wave K(2,2)equation is studied.[Methods]Traveling wave transform are used here.[Results]Various exact traveling wave solutions of these nonlinear dispersive wave K(2,2)equations,and the dynamic properties of these solutions are discussed,and the dynamic behavior and dynamic evolution of some exact solutions are visually demonstrated by image simulation.[Conclusions]It is found that some of the solutions have singular properties.Compared with the results in the existing literature,the exact solutions obtained are new results,and the solving methods and techniques are much simpler than those in the previous literature.

关 键 词：非线性色散波K(2 2)方程 行波变换 精确解 

分 类 号：O175.29[理学—数学]