Structure of integrated supersymmetric nonlinear dynamic systems on the reduced invariant subvarieties

  • M. M. Pritula Львів. ун-т
  • V. S. Kuibida Ін-т прикл. пробл. механіки і математики АН України, Львів

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.

References

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Published
07.10.1992
How to Cite
Pritula , M. M., and V. S. Kuibida. “Structure of Integrated Supersymmetric Nonlinear Dynamic Systems on the Reduced Invariant Subvarieties”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 9, Oct. 1992, pp. 1292-5, https://umj.imath.kiev.ua/index.php/umj/article/view/8186.
Section
Short communications