On the Geometry of Liouville Equation: Symmetries, Conservation Laws, and Bäcklund Transformations |
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| Authors: | Arthemy V Kiselev |
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| Institution: | (1) Physics Department, Chair of mathematics, Lomonosov Moscow State University, 119899 Vorobjevy Gory, Moscow, Russia |
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| Abstract: | Various geometrical structures related to the Liouville equation are considered. Properties of the symmetry algebra are discussed and local conserved currents are constructed. Bäcklund transformations for the Liouville equation are integrated and nontrivial generalizations of the latter are studied as well as the structures on them. |
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| Keywords: | Liouville equation symmetries conservation laws Bä cklund transformations the Toda systems |
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