This article is cited in 1 paper

Necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives

I. A. Kolesnikova

Peoples Friendship University of Russia, Moscow

Abstract: In the present paper, we obtain necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives. Constructions of symmetry groups and recursion operators for various differential-difference equations are described. The corresponding symmetry generators that transform solutions of given equations into other solutions are obtained.

UDC: 517.9

 English version: Journal of Mathematical Sciences, 2012, 180:6, 673–684

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