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Bianchi transformation between the real hyperbolic Monge-Ampère equation and the Born-Infeld equation

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Abstract

By casting the Born-Infeld equation and the real hyperbolic Monge-Ampère equation into the form of equations of hydrodynamic type, we find that there exists an explicit transformation between them. This is Bianchi transformation.

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Authors and Affiliations

  1. Department of Geometry and Topology, The Steklov Mathematical Institute, ul. Vavilova, 42, 117966, Moscow, GSP-1, Russia

    O. I. Mokhov

  2. Research Institute for Basic Sciences, Department of Physics, TÜBİTAK - Marmara Research Center, PO Box 21, 41470, Gebze, Turkey

    Y. Nutku

Authors
  1. O. I. Mokhov
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  2. Y. Nutku
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Mokhov, O.I., Nutku, Y. Bianchi transformation between the real hyperbolic Monge-Ampère equation and the Born-Infeld equation. Lett Math Phys 32, 121–123 (1994). https://doi.org/10.1007/BF00739421

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  • DOI: https://doi.org/10.1007/BF00739421

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