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Generalized symmetries of nonlinear partial differential equations

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Abstract

We propose a rigorous definition of the generalized infinitesimal symmetries using the notion of k-vector fields, and we derive an algorithm for their determination. We show that Bäcklund transformations between evolution equations are differential operators having prescribed symmetries.

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  1. Brooklyn College, City University of New York, 11210, Brooklyn, N.Y., USA

    Yvette Kosmann-Schwarzbach

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  1. Yvette Kosmann-Schwarzbach
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Kosmann-Schwarzbach, Y. Generalized symmetries of nonlinear partial differential equations. Lett Math Phys 3, 395–404 (1979). https://doi.org/10.1007/BF00397213

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