扩展的Jacobi椭圆函数展开法在求解Chen-Lee-Liu方程精确解中的应用  

The application of the extended Jacobi elliptic function expansion method to the exact solution of Chen-Lee-Liu equation

作　　者：赵雁楠[1] ZHAO Yannan(College of Computer and Information Engineering,Shanxi Technology and Business College,Taiyuan 030000,China)

机构地区：[1]山西工商学院计算机信息工程学院,太原030000

出　　处：《延边大学学报（自然科学版）》2023年第1期70-76,共7页Journal of Yanbian University（Natural Science Edition）

基　　金：山西省教育科学“十四五”规划课题(GH-21253);山西省高等学校科技创新项目(2020L0738);山西工商学院校级科研课题(202257)。

摘　　要：利用扩展的Jacobi椭圆函数展开法研究了Chen-Lee-Liu方程的精确解,所得解包括该方程的系列周期解和孤子解.特别地,当m→1和m→0时,得到了该方程的三角函数解和双曲函数解的精确表达式.绘制了该方程的三角函数解和双曲函数解的孤波图.其二维图像显示,孤立波的振幅不随时间的变化而发生变化,但其空间位置发生变化.The exact solution of Chen-Lee-Liu equation is studied by using the extended Jacobi elliptic function expansion method.The obtained solutions include the series periodic solutions and soliton solutions of the equation.In particular,the exact expressions of trigonometric and hyperbolic solutions of Chen-Lee-Liu equation are obtained as m→1 and m→0.The characteristics of the obtained solutions are visualized graphically.From the two-dimensional graphs,the amplitude of the solition wave does not change over time,but their spatial position shifts.

关 键 词：JACOBI椭圆函数展开法 Chen-Lee-Liu方程 周期解 精确解 

分 类 号：O175.29[理学—数学]