Iterations of the non-classical symmetries method and conditional Lie - Bäcklund symmetries

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, , Citation M C Nucci 1996 J. Phys. A: Math. Gen. 29 8117 DOI 10.1088/0305-4470/29/24/032

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1 Dipartimento di Matematica, Università di Perugia, 06123 Perugia, Italy

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  1. Received 13 September 1996

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0305-4470/29/24/8117

Abstract

Iterations of the non-classical symmetries method give rise to new nonlinear equations, which inherit the Lie point symmetry algebra of the original equation. Invariant solutions of these heir equations supply new solutions of the original equation. We show that particular cases of such invariant solutions correspond to Zhdanov's conditional Lie - Bäcklund symmetries.

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