New nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon equation

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Liang, Zufeng^1 ; Tang, Xiaoyan^2 ; Lou, Senyue^3,4

Department of Physics, Hangzhou Normal University, Hangzhou 310036, China^1

Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China^2

Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China^3

Faculty of Science, Ningbo University, Ningbo, 315211, China^4

关键词: Cklund transformation;    Conservation law;    Linearized equations;    Non local symmetries;    Nonlocal conservation laws;    Parameter expansion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012032/pdf
DOI  :  10.1088/1742-6596/490/1/012032

来源: IOP

【 摘 要 】

A system of linearized equations of the (1+1)-dimensional Sine-Gordon (SG) equation and its Backlund transformation are given to determine not only nonlocal symmetries but also nonlocal conservation laws of the SG equation. Through the parameter expansion procedure, a sequence of infinitely many nonlocal symmetries and a sequence of infinitely many nonlocal conservation laws are obtained.