Laplace Invariants of Two-Dimensional Open Toda Lattices |
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| Authors: | Guryeva A. M. Zhiber A. V. |
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| Affiliation: | (1) Ufa State Aviation Technology University, Ufa, Russia;(2) Institute of Mathematics, Ufa Science Center, RAS, Ufa, Russia |
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| Abstract: | We show that Toda lattices with the Cartan matrices An, Bn, Cn, and Dn are Liouville-type systems. For these systems of equations, we obtain explicit formulas for the invariants and generalized Laplace invariants. We show how they can be used to construct conservation laws (x and y integrals) and higher symmetries. |
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| Keywords: | symmetries integrals Laplace invariants generalized invariants |
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