文献类型：期刊文献

中文题名：The consistent Riccati expansion and new interaction solution for a Boussinesq-type coupled system

英文题名：The consistent Riccati expansion and new interaction solution for a Boussinesq-type coupled system

作者：Ruan Shao-Qing[1,2];Yu Wei-Feng[1,3];Yu Jun[1];Yu Guo-Xiang[1]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Shaoxing Xingwen Primary Sch, Dept Sci, Shaoxing 312000, Peoples R China;[3]Ningbo Univ, Fac Sci, Ningbo 315211, Peoples R China

年份：2015

卷号：0

期号：6

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000358130200002)、CSTPCD、、EI(收录号：20152300912192)、CSCD2015_2016、Scopus(收录号：2-s2.0-84930965901)、WOS、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant No. 11275129).

语种：英文

中文关键词：Boussinesq型方程;耦合系统;黎卡提;Riccati方程;雅可比椭圆函数;交互;耦合方程;分离变量法

外文关键词：consistent Riccati expansion; Boussinesq-type coupled equation system; soliton-cnoidal wave interaction solution

中文摘要：Starting from the Davey–Stewartson equation,a Boussinesq-type coupled equation system is obtained by using a variable separation approach.For the Boussinesq-type coupled equation system,its consistent Riccati expansion(CRE)solvability is studied with the help of a Riccati equation.It is significant that the soliton–cnoidal wave interaction solution,expressed explicitly by Jacobi elliptic functions and the third type of incomplete elliptic integral,of the system is also given.

外文摘要：Starting from the Davey-Stewartson equation, a Boussinesq-type coupled equation system is obtained by using a variable separation approach. For the Boussinesq-type coupled equation system, its consistent Riccati expansion (CRE) solvability is studied with the help of a Riccati equation. It is significant that the soliton-cnoidal wave interaction solution, expressed explicitly by Jacobi elliptic functions and the third type of incomplete elliptic integral, of the system is also given.