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Left-Symmetric Algebras in Hydrodynamics

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Abstract

Left-Symmetric algebras are shown to appear naturally in integrable hydrodynamical systems. First, to a data a Left-Symmetric algebra and an operator of strong deformation on it is attached an infinite commuting hierarchy of integrable systems of hydrodynamical type in 1+1−d. Second, this picture (without deformation) is embedded into an infinite-component integrable hydrodynamic chain.

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  1. Space Institute, The University of Tennessee, Tullahoma, TN, 37388, USA

    Boris A. Kupershmidt

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  1. Boris A. Kupershmidt
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Kupershmidt, B.A. Left-Symmetric Algebras in Hydrodynamics. Lett Math Phys 76, 1–18 (2006). https://doi.org/10.1007/s11005-006-0061-y

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