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Field Theory, Quantum Gravity and Strings pp 267–283Cite as

General structure and properties of the integrable nonlinear evolution equations in 1+1 and 2+1 dimensions

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Part of the book series: Lecture Notes in Physics ((LNP,volume 246))

Abstract

General form of the integrable equations in 1+1 and 2+1 dimensions and their group - theoretical and Hamiltonian properties are considered. General theory of recursion operators is discussed.

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Author notes

  1. B. G. Konopelchenko

    Present address: Institute of Nuclear Physics, Novosibirsk-90, 630090, USSR

Authors and Affiliations

  1. Laboratoire de Physique Thérique et Hautes Energies, Université Pierre et Marie Curie, Paris

    B. G. Konopelchenko

Authors
  1. B. G. Konopelchenko
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Editor information

H. J. de Vega N. Sánchez

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© 1988 Springer-Verlag

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Konopelchenko, B.G. (1988). General structure and properties of the integrable nonlinear evolution equations in 1+1 and 2+1 dimensions. In: de Vega, H.J., Sánchez, N. (eds) Field Theory, Quantum Gravity and Strings. Lecture Notes in Physics, vol 246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16452-9_16

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  • DOI: https://doi.org/10.1007/3-540-16452-9_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16452-4

  • Online ISBN: 978-3-540-39789-2

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