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On geometric approach to Lie symmetries of differential-difference equations |
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| Authors: | Hong-Jing Li Shi-Kun Wang |
| Institution: | a Department of Mathematics, Capital Normal University, Beijing 100037, PR China b Key Lab of Mathematics Mechanization, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, PR China c Graduate University of the Chinese Academy of Sciences, Beijing 100049, PR China d Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, PR China e Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100037, PR China |
| Abstract: | 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. |
| Keywords: | 02 20 Sv 02 30 Jr 02 40 -k |
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