We present an algorithm for determining the Lie point symmetries of differential equations on fixed non-transforming lattices, i.e. equations involving both continuous and discrete-independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method.
Levi, D., Winternitz, P., Yamilov, R.i. (2010). Lie point symmetries of differential-difference equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 43(29) [10.1088/1751-8113/43/29/292002].
Lie point symmetries of differential-difference equations
LEVI, Decio;
2010-01-01
Abstract
We present an algorithm for determining the Lie point symmetries of differential equations on fixed non-transforming lattices, i.e. equations involving both continuous and discrete-independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method.File in questo prodotto:
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