Communications in Mathematical Physics

, Volume 134, Issue 3, pp 633–646 | Cite as

A generalization of the Kac-Moody algebras with a parameter on an algebraic curve and perturbations of solitons

  • V. G. Mikhalev
Article
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Abstract

The Lie-algebraic approach for the dynamic systems associated with a generalization of the Kac-Moody algebras on Riemann surfaces is developed. A technique of solving the inverse scattering problem of operators with spectral parameters on Riemann surfaces is presented. Some equations associated with generalized Kac-Moody algebras are presented. The connection between their hamiltonian structure and deformed Lax representation is discussed as well as its applications to some special perturbations of integrable systems.

Keywords

Neural Network Dynamic System Statistical Physic Soliton Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • V. G. Mikhalev
    • 1
  1. 1.Department of Computer SciencesVladimir State Teachers InstituteVladimirUSSR

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