Structure of integrated supersymmetric nonlinear dynamic systems on the reduced invariant subvarieties
Abstract
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 of these systems on reduced invariant submanifolds specified by a natural invariant Lax-type spectral problem is investigated.
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Copyright (c) 1992 M. M. Pritula , V. S. Kuibida
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