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| Paper Code | |
| Title | On geometric approach to Lie symmetries of differential-difference equations |
| Authors | Wang Shikun |
| Corresponding Author | |
| Year | 2008 |
| Title of Journal | |
| Volume | 372 |
| Number | 37 |
| Page | 5878-5882 |
| Abstract | 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. |
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| Others: | 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. |
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