Conditions necessary for the existence of local higher order generalized symmetries and conservation laws are derived for a class of dynamical lattice equations with explicit dependence on the spatial discrete variable and on time. We explain how to use the obtained conditions for checking a given equation. We apply those conditions to the study of a special class of differential difference equations interesting from the physical point of view.
Yamilov, R., Levi, D. (2004). Integrability conditions for n and t dependent dynamical lattice equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 11(1), 75-101 [10.2991/jnmp.2004.11.1.6].
Integrability conditions for n and t dependent dynamical lattice equations
LEVI, Decio
2004-01-01
Abstract
Conditions necessary for the existence of local higher order generalized symmetries and conservation laws are derived for a class of dynamical lattice equations with explicit dependence on the spatial discrete variable and on time. We explain how to use the obtained conditions for checking a given equation. We apply those conditions to the study of a special class of differential difference equations interesting from the physical point of view.File in questo prodotto:
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