Pseudopotentials, Lax Pairs and Bäcklund Transformations for Generalized Fifth-Order KdV Equation
Pseudopotentials, Lax Pairs and Bäcklund Transformations for Generalized Fifth-Order KdV Equation
复制标题
DOI：
10.1088/0253-6102/55/1/05
复制
发表时间：
2011-01
影响因子：
3.1
通讯作者：
Yang Yun-qing;Chen Yong
中科院分区：
文献类型：
--
作者：
Yang Yun-qing;Chen Yong
基于Nucci的方法，导出了广义五阶KdV方程的赝势、Lax对和奇异流形方程.在Caudrey-Dodd-Gibbon-Sawada-Kotera方程、Lax方程和Kaup-kupershirt方程三种条件下，通过选取不同的系数，得到相应的结果和Backlund变换.
Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV equation are derived. By choosing different coefficient, the corresponding results and the Backlund transformations can be obtained on three conditioners which include Caudrey—Dodd—Gibbon—Sawada—Kotera equation, the Lax equation and the Kaup-kupershmidt equation.