摘要
主要讨论在某种约束下,变系数Boussinesq型方程和变系数Broer-KaupKupershmidt方程之间的联系,构造变系数Broer-Kaup-Kupershmidt方程的另外一种Darboux变换,且应用Darboux变换得到变系数Boussinesq型方程的孤子解.
In this paper,connection between the variable-coefficient variant Boussinesq-like equation and a variable-coefficient Broer-Kaup-Kupershmidt equation is revealed under certain constraints. Based on the resulting Lax pairs, a new Darboux transformation with multi-parameters for the variable-coefficient Broer-Kaup-Kupershmidt equation is constructed with the help of a gauge transformation. As an application, soliton solutions of the variable- coefficient variant Boussinesq-like equations are given.
作者
杨苗苗
王涛
李雪梅
YANG Miao-miao;WANG Tao;LI Xue-mei(Department of Public Basic Courses Teaching, Zhengzhou Institute of Technology, Zhengzhou 450000 China;Base Depart, Zhengzhou University of Science Technology, Zhengzhou 450000, China;School of Mathematics and Statistics, Zhengzhou University Zhengzhou 450000, China)
出处
《数学的实践与认识》
北大核心
2018年第8期206-211,共6页
Mathematics in Practice and Theory
基金
河南省教育厅重点科研项目(16A480012)
国家自然科学基金(11171312)
