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-Backlund symmetries.
NUCCI, M.C. (1996). Iterations of the nonclassical symmetries and conditional Lie-Bäcklund symmetries. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 29(24), 8117-8122 [10.1088/0305-4470/29/24/032].
Iterations of the nonclassical symmetries and conditional Lie-Bäcklund symmetries
NUCCI, Maria Clara
1996
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-Backlund symmetries.File in questo prodotto:
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