Infinitely many nonlocal symmetries and conservation laws for the (1+1)-dimensional Sine-Gordon equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:421

Article

Wang, Jian-yong¹  Tang, Xiao-yan^1,3,5  Liang, Zu-feng²  Lou, Sen-yue^3,4 

[1] Shanghai Jiao Tong Univ, Dept Phys & Astron, Shanghai 200240, Peoples R China

[2] Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Zhejiang, Peoples R China

[3] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China

[4] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[5] E China Normal Univ, Inst Syst Sci, Shanghai 200241, Peoples R China

关键词: Nonlocal symmetry;    Local and nonlocal conservation law;    Backlund transformation;    Sine-Gordon equation;   

DOI  :  10.1016/j.jmaa.2014.07.040

来源: Elsevier

【 摘 要 】

Infinitely many nonlocal symmetries and infinitely many local and nonlocal conservation laws of the (1+1)-dimensional Sine-Gordon (SG) equation are derived in terms of its Backlund transformation (BT). Some special nonlocal symmetries and nonlocal conservation laws are obtained from the linearized equations of the SG equation and its BT. Furthermore, one can derive infinitely many nonlocal symmetries from a known nonlocal symmetry, but also infinitely many nonlocal conservation laws from a known nonlocal conservation law. In addition, infinitely many local and nonlocal conservation laws can be directly generated from the BT through the parameter expansion procedure. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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