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Integrable Hierarchies and Modern Physical Theories pp 339–354Cite as

Functional and Differential Equations in The Problems of Nonlinear Mathematical Physics

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Part of the book series: NATO Science Series ((NAII,volume 18))

Abstract

The 2n dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multi-dimensional integrable systems connected with arbitrary graded (semisimple) algebras are constructed. Their general solutions are presented in explicit form.

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References

  1. Leznov, A.N. (1999) UV Manifold and Integrable Systems in the Spaces of Arbitrary Dimensions, math-ph/9908012; Nonl. Math. Phys., to appear.

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Author information

Authors and Affiliations

  1. Research Center of Engineering and Applied Science, Av. Universidad 1001 col. Chamilpa C.P., 62210, Cuernavaca Morelos, Mexico

    A. N. Leznov

  2. Institute for High Energy Physics, 142284, Protvino, Moscow Region, Russia

    A. N. Leznov

  3. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Moscow Region, Russia

    A. N. Leznov

Authors
  1. A. N. Leznov
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Editor information

Editors and Affiliations

  1. Department of Physics, University of Illinois at Chicago, Illinois, Chicago, USA

    Henrik Aratyn

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

    Alexander S. Sorin

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© 2001 Springer Science+Business Media Dordrecht

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Leznov, A.N. (2001). Functional and Differential Equations in The Problems of Nonlinear Mathematical Physics. In: Aratyn, H., Sorin, A.S. (eds) Integrable Hierarchies and Modern Physical Theories. NATO Science Series, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0720-7_13

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  • DOI: https://doi.org/10.1007/978-94-010-0720-7_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6963-9

  • Online ISBN: 978-94-010-0720-7

  • eBook Packages: Springer Book Archive

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