数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 215-227.doi: 10.1016/S0252-9602(13)60139-3

• 论文 • 上一篇    下一篇

THE PROLONGATION STRUCTURES AND NONLOCAL SYMMETRIES FOR MODIFIED BOUSSINESQ SYSTEM

程秋盛|贺劲松*   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics, Ningbo University, Ningbo 315211, China
  • 收稿日期:2012-08-23 修回日期:2012-12-07 出版日期:2014-01-20 发布日期:2014-01-20
  • 通讯作者: 贺劲松,hejingsong@nbu.edu.cn E-mail:qscheng@mail.ustc.edu.cn;hejingsong@nbu.edu.cn
  • 基金资助:

    This work was supported by the NSFC (11271210).

THE PROLONGATION STRUCTURES AND NONLOCAL SYMMETRIES FOR MODIFIED BOUSSINESQ SYSTEM

 CHENG Qiu-Sheng, HE Jin-Song*   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics, Ningbo University, Ningbo 315211, China
  • Received:2012-08-23 Revised:2012-12-07 Online:2014-01-20 Published:2014-01-20
  • Contact: HE Jin-Song,hejingsong@nbu.edu.cn E-mail:qscheng@mail.ustc.edu.cn;hejingsong@nbu.edu.cn
  • Supported by:

    This work was supported by the NSFC (11271210).

摘要:

The Wahlquist-Estabrook (WE) prolongation structures of modified Boussi-nesq (MB) system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this system are obtained completely. More-over the sufficient and necessary conditions for a vector field to be a nonlocal symmetry of this system are also demonstrated in the WE prolongation structures.

关键词: modified Boussinesq system, prolongation structure, nonlocal symmetry

Abstract:

The Wahlquist-Estabrook (WE) prolongation structures of modified Boussi-nesq (MB) system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this system are obtained completely. More-over the sufficient and necessary conditions for a vector field to be a nonlocal symmetry of this system are also demonstrated in the WE prolongation structures.

Key words: modified Boussinesq system, prolongation structure, nonlocal symmetry

中图分类号: 

  • 35Q55