Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (1): 215-227.doi: 10.1016/S0252-9602(13)60139-3

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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).

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

CLC Number: 

  • 35Q55
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