Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Reduction of Determining System with a Priori Symmetries of the Class of Equation

Author(s):

Ya. V. Delyukova

Department of Mathematics
Ussuriisk State University
692512 Ussuriisk, Russia

Abstract:

We consider the problems of a reduction and solution for non-linear determining systems of partial differential equations. We have these systems by searching discrete transformation groups, nonlocal symmetries of ordinary differential equations, and also nonclassical symmetries of non-linear equations of mathematical physics. We proove that we can reduce the dimension of the system if the class of equation D has a priori symmetries.

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