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B-determining equations: applications to nonlinear partial differential equations

Published online by Cambridge University Press:  26 September 2008

O. V. Kaptsov
O. V. Kaptsov
Affiliation:
Computing Center, Academgorodok, 660036 Krasnoyrsk, Russia
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Abstract

We introduce the concept of B-determining equations of a system of partial differential equations that generalize the defining equations of the symmetry groups. We show how this concept may be applied to obtain exact solutions of partial differential equations. The exposition is reasonable self-contained, and supplemented by examples of direct physical importance, chosen from fluid mechanics.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 3 , June 1995 , pp. 265 - 286
Copyright
Copyright © Cambridge University Press 1995

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