Lie group techniques for solving differential equations are extended to differential-difference equations. As an application, it is shown that the two-dimensional Toda lattice has an infinite dimensional symmetry group with a Kac-Moody-Virasoro Lie algebra.
Levi, D., Winternitz, P. (1991). CONTINUOUS SYMMETRIES OF DISCRETE EQUATIONS. PHYSICS LETTERS A, 152(7), 335-338 [10.1016/0375-9601(91)90733-O].
CONTINUOUS SYMMETRIES OF DISCRETE EQUATIONS
LEVI, Decio;
1991-01-01
Abstract
Lie group techniques for solving differential equations are extended to differential-difference equations. As an application, it is shown that the two-dimensional Toda lattice has an infinite dimensional symmetry group with a Kac-Moody-Virasoro Lie algebra.File in questo prodotto:
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