Dynamical Systems Accepting the Normal Shift
A. Yu. Boldin, R. A. Sharipov
Abstract
Classical Bianchi-Lie, Backlund and Darboux transformations are considered. Their generalizations for the dynamical systems are discussed. For the transformation being the generalization of the normal shift the special class of dynamical systems is defined. The effective criterion for separating such systems in form of partial differential equations is found.
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