Optimal System of Subalgebras of the Direct Sum of Two Ideals


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Abstract

We find an optimal system of subalgebras of the direct sum Aff(ℝ)⊕SL(2,ℝ). We find invariant solutions to some nonlinear partial differential equation.

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A. V. Panovcv

Chelyabinsk State University

Author for correspondence.
Email: gjd@bk.ru
Russian Federation, 129, Br. Kashirnich St., Chelyabinsk, 454001

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