scholarly journals Nonlocal symmetries and conservation laws of the Sinh-Gordon equation

2017 ◽  
Vol 24 (1) ◽  
pp. 93-106 ◽  
Author(s):  
Xiao-yan Tang ◽  
Zu-feng Liang
Keyword(s):  
Conservation Laws ◽  
Gordon Equation ◽  
Nonlocal Symmetries

Exact Solutions and Conservation Laws for a Generalized Double Combined sinh–cosh–Gordon Equation

2016 ◽  
Vol 13 (5) ◽  
pp. 3221-3233 ◽  
Author(s):  
Gabriel Magalakwe ◽  
Ben Muatjetjeja ◽  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Gordon Equation

Conservation Laws in sine-Gordon Equation

2003 ◽  
Vol 20 (7) ◽  
pp. 1003-1005 ◽  
Author(s):  
Shi Li-Na ◽  
Cai Hao ◽  
Li Cheng-Fang ◽  
Huang Nian-Ning
Keyword(s):  
Conservation Laws ◽  
Gordon Equation ◽  
Sine Gordon Equation

Symmetries of generalized Klein-Gordon (including sine-Gordon) equations in three or more dimensions

1987 ◽  
Vol 101 (2) ◽  
pp. 343-348 ◽  
Author(s):  
T. J. Gordon
Keyword(s):  
Conservation Laws ◽  
Gordon Equation ◽  
Nonlinear Partial Differential Equations ◽  
Higher Dimensions ◽  
Higher Order ◽  
Two Dimensional ◽  
Sine Gordon Equation ◽  
Klein Gordon ◽  
Image Position ◽  
Recent Attention

Much recent attention has been devoted to those nonlinear partial differential equations admitting higher-order conservation laws (e.g. [2] and references therein) or equivalently admitting higher-order symmetries. In particular the sine-Gordon equation possesses such symmetries [5, 7] where is the two-dimensional d'Alembertian operator. The question posed and solved here is whether such behaviour is possible in higher dimensions. We therefore consider the ‘Generalized Klein–Gordon’ (GKG) equationin N dimensions where and N ≥ 3.

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