分数阶广义KDV方程的精确解
Travelling Wave Solution of the Generalized KDV Equation
DOI: 10.12677/PM.2017.75049, PDF, HTML, XML, 下载: 1,755  浏览: 5,540  国家自然科学基金支持
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. 分数阶广义KDV方程的精确解[J]. 理论数学, 2017, 7(5): 378-385. https://doi.org/10.12677/PM.2017.75049

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