2019
Том 71
№ 11

# Structure of integrable supersymmetric nonlinear dynamical systems on reduced invariant submanifolds

Abstract

Based on an analysis of a supersymmetric extension of the algebra of pseudodifferential operators on $ℝ^1$ 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.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1183–1186.

Citation Example: Kuybida V. S., Pritula N. N. Structure of integrable supersymmetric nonlinear dynamical systems on reduced invariant submanifolds // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1292–1295.

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