贝克隆变换与几类KdV型方程
Bäcklund Transformation and Several Types of KdV Equations
DOI: 10.12677/PM.2018.82015, PDF,    科研立项经费支持
作者: 郭晓茵, 王 忠*, 薛汾仪, 杨灵娥, 周德浩：佛山科学技术学院，大数据学院，广东 佛山
关键词: 贝克隆变换；KdV方程；孤立子；Bäcklund Transformation； KdV Equation； Soliton
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。
Abstract: In this paper, we investigate Bӓcklund 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 Bӓcklund transformations.
文章引用：郭晓茵, 王忠, 薛汾仪, 杨灵娥, 周德浩. 贝克隆变换与几类KdV型方程[J]. 理论数学, 2018, 8(2): 121-125. https://doi.org/10.12677/PM.2018.82015

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