Left-Symmetric Algebras in Hydrodynamics |
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Authors: | Boris A Kupershmidt |
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Institution: | (1) Space Institute, The University of Tennessee, Tullahoma, TN 37388, USA |
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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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Keywords: | 35A25 35F20 35L65 |
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