On geometric approach to Lie symmetries of differential-difference equations

Based upon Cartan's geometric formulation of differential equations, Harrison and Estabrook proposed a geometric approach for the symmetries of differential equations. In this Letter, we extend Harrison and Estabrook's approach to analyze the symmetries of differential-difference equations...

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Bibliographic Details
Published in:Physics letters. A 2008-09, Vol.372 (37), p.5878-5882
Main Authors: Li, Hong-Jing, Wang, Deng-Shan, Wang, Shi-Kun, Wu, Ke, Zhao, Wei-Zhong
Format: Article
Language:English
Subjects:
Differential-difference equations
Discrete exterior differential calculus
Lie symmetries
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Summary:Based upon Cartan's geometric formulation of differential equations, Harrison and Estabrook proposed a geometric approach for the symmetries of differential equations. In this Letter, we extend Harrison and Estabrook's approach to analyze the symmetries of differential-difference equations. The discrete exterior differential technique is applied in our approach. The Lie symmetry of ( 2 + 1 ) -dimensional Toda equation is investigated by means of our approach.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2008.07.040