贝克隆变换与几类KdV型方程  

Backlund Transformation and Several Types of KdV Equations

作　　者：郭晓茵 王忠 薛汾仪 杨灵娥[1] 周德浩 Xiaoyin Guo;Zhong Wang;Fenyi Xue;Linge Yang;Dehao Zhou(School of Mathematics and Big Data, Foshan University, Foshan Guangdong)

机构地区：[1]佛山科学技术学院,大数据学院,广东佛山

出　　处：《理论数学》2018年第2期121-125,共5页Pure Mathematics

基　　金：广东省自然科学基金(2017A030310634)。

摘　　要：本文研究了几类KdV型方程之间的贝克隆变换。通过贝克隆变换,本文求得了一类新型KdV方程和一类五阶KdV方程的孤立子解。In this paper, we investigate B?cklund transformations of several types of KdV equations. We obtain the solitary wave solutions of a new type KdV equation and a fifth-order KdV equation with the help of B?cklund transformations.

关 键 词：贝克隆变换 KDV方程 孤立子 

分 类 号：O1[理学—数学]