(1+1)维经典Boussinesq-Burgers系统的相容Riccati展开可解性和精确解  

Consistent Riccati expansion solvability and exact solutions of the(1+1)-dimensional classical Boussinesq-Burgers system

作　　者：呼星汝 Hu Xingru(School of Mathematics,Northwest University,Xi'an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2020年第3期302-311,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11775047).

摘　　要：研究了(1+1)维经典Boussinesq-Burgers(CBB)系统的相容Riccati展开(CRE)可解性和相互作用解.首先,运用相容Riccati展开法,证明了该方程组是相容Riccati展开可解的;其次通过求解相容性方程,给出了该方程组的单孤子解,并且借助雅可比椭圆函数构造了孤立波与椭圆周期波的相互作用解.In this paper,the(1+1)-dimensional classical Boussinesq-Burgers system is proved to be consistent Riccati expansion(CRE)solvable by consistent Riccati expansion method.At the same time,with the help of Riccati equation and the Jacobi elliptic functions,we can obtain soliton solutions and soliton-cnoidal wave interaction solution of this system.

关 键 词：(1+1)维经典Boussinesq-Burgers系统 相容Riccati展开 孤子解 相互作用解 

分 类 号：O175.2[理学—数学]