分数阶广义KDV方程的精确解
Travelling Wave Solution of the Generalized KDV Equation

作者: 王小娇 * , 周贤林 , 韦方棋 :四川师范大学数学与软件科学学院,四川 成都;

关键词: 复变换椭圆函数展开法修正Riemann-Liouville函数分数阶广义KDV方程Complex-Transform-Cn Expansion Method Modified Riemann-Liouville Derivative Fractional Generalized KDV Equation

摘要:
本文将分数阶复变换方法和椭圆函数展开法相结合,给出了求解分数阶广义KDV方程的复变换椭圆函数展开法。进而得到了分数阶广义KDV方程的周期波解和孤立波解。

Abstract: By combining the fractional transform with Cn-expansion method, we give the improved elliptic expansion method to solve the generalized fraction KDV equations, and obtain some new periodic solution and solitary wave solutions.

文章引用: 王小娇 , 周贤林 , 韦方棋 (2017) 分数阶广义KDV方程的精确解。 理论数学, 7, 378-385. doi: 10.12677/PM.2017.75049

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