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

• Date: 1992
• Main Authors: Pritula , M. M., Kuibida , V. S., Притула , М. М., Куйбіда , В. С.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8186
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Based on an analysis of a supersymmetric extension of the algebra of pseudodifferential operators on $\mathbb{R}^1$  an infinite hierarchy of supersymmetric Lax-integrable nonlinear dynamical systems is constructed by means of the Yang-Baxter $\mathfrak R$-equation method. The structure...