THE PROLONGATION STRUCTURES AND NONLOCAL SYMMETRIES FOR MODIFIED BOUSSINESQ SYSTEM

THE PROLONGATION STRUCTURES AND NONLOCAL SYMMETRIES FOR MODIFIED BOUSSINESQ SYSTEM

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 vec...

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Veröffentlicht in:Acta mathematica scientia 2014, Vol.34 (1), p.215-227
1. Verfasser: 程秋盛 贺劲松
Format: Artikel
Sprache:eng
Schlagworte:
35Q55
37K10
Boussinesq equations
Classifications
Coverings
Fields (mathematics)
modified Boussinesq system
nonlocal symmetry
Prolongation
prolongation structure
q系统
Symmetry
一维
充分必要条件
向量场
对称性
结构
覆盖物
非局部
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Beschreibung
Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60139-3