中国物理B ›› 2015, Vol. 24 ›› Issue (6): 60201-060201.doi: 10.1088/1674-1056/24/6/060201

• GENERAL • 上一篇    下一篇

The consistent Riccati expansion and new interaction solution for a Boussinesq-type coupled system

阮少卿a b, 余炜沣a c, 俞军a, 余国祥a   

  1. a Department of Physics, Shaoxing University, Shaoxing 312000, China;
    b Department of Science, Shaoxing Xingwen Primary School, Shaoxing 312000, China;
    c Faculty of Science, Ningbo University, Ningbo 315211, China
  • 收稿日期:2014-10-26 修回日期:2015-01-08 出版日期:2015-06-05 发布日期:2015-06-05
  • 基金资助:

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

The consistent Riccati expansion and new interaction solution for a Boussinesq-type coupled system

Ruan Shao-Qing (阮少卿)a b, Yu Wei-Feng (余炜沣)a c, Yu Jun (俞军)a, Yu Guo-Xiang (余国祥)a   

  1. a Department of Physics, Shaoxing University, Shaoxing 312000, China;
    b Department of Science, Shaoxing Xingwen Primary School, Shaoxing 312000, China;
    c Faculty of Science, Ningbo University, Ningbo 315211, China
  • Received:2014-10-26 Revised:2015-01-08 Online:2015-06-05 Published:2015-06-05
  • Contact: Yu Jun E-mail:junyu@usx.edu.cn
  • About author:02.30.Ik; 05.45.Yv
  • Supported by:

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

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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.

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

Abstract:

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.

Key words: consistent Riccati expansion, Boussinesq-type coupled equation system, soliton-cnoidal wave interaction solution

中图分类号:  (Integrable systems)

  • 02.30.Ik
05.45.Yv (Solitons)