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Structure of integrable supersymmetric nonlinear dynamical systems on reduced invariant submanifolds

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Abstract

Based on an analysis of a supersymmetric extension of the algebra of pseudodifferential operators on ℝ1 an infinite hierarchy of supersymmetric Lax-integrable nonlinear dynamical systems is constructed by means of the Yang-Baxter ℛ-equation method. The structure of these systems on reduced invariant submanifolds specified by a natural invariant Lax-type spectral problem is investigated.

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Authors and Affiliations

  1. Lvov University, USSR

    M. M. Prytula & V. S. Kuybida

  2. Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of Ukraine, Lvov

    M. M. Prytula & V. S. Kuybida

Authors
  1. M. M. Prytula
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  2. V. S. Kuybida
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Translated from Ukrayins'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1292–1295, September, 1992.

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Prytula, M.M., Kuybida, V.S. Structure of integrable supersymmetric nonlinear dynamical systems on reduced invariant submanifolds. Ukr Math J 44, 1183–1186 (1992). https://doi.org/10.1007/BF01058385

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  • DOI: https://doi.org/10.1007/BF01058385

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