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Geometric Approach to Lie Symmetry of Discrete Time Toda Equation |
| JIA Xiao-Yu1, WANG Na2 |
| 1School of Mathematical Sciences, Capital Normal University, Beijing 1000372Department of Information Engineering, Henan College of Finance and Taxation, Zhengzhou 450002 |
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| Cite this article: |
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JIA Xiao-Yu, WANG Na 2009 Chin. Phys. Lett. 26 080201 |
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Abstract By using the extended Harrison and Estabrook geometric approach, we investigate the Lie symmetry of discrete time Toda equation from the geometric point of view. Its one-dimensional continuous symmetry group is presented.
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02.20.Sv
02.30.Jr
02.40.-k
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Received: 25 February 2009
Published: 30 July 2009
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| PACS: |
02.20.Sv
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(Lie algebras of Lie groups)
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02.30.Jr
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(Partial differential equations)
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02.40.-k
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(Geometry, differential geometry, and topology)
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[1] Harrison B K and Estabrook F B 1971 J. Math. Phys. 12 653
[2] Li H J, Wang D S, Wang S K, Wu K and Zhao W Z 2008 Phys. Lett. A 372 5878
[3] Guo H Y, Wu K and Zhang W 2000 Commun. Theor. Phys. 34 245
[4] Wu K, Zhao W Z and Guo H Y 2006 Sci. Chin. A 49 1458
[5] Levi D and Winternitz P 1991 Phys. Lett. A 152335
[6] Levi D and Winternitz P 2006 J. Phys. A 39 R1
[7] Hirota R 1977 J. Phys. Soc. Jpn 43 2074
[8] Levi D 2008 Lie Symmetries of Differential andDifference Equations (Beijing: CCAST-WL Workshop) |
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