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Compatibly bi-Hamiltonian superconformal analogs of Lax-integrable nonlinear dynamical systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

Compatibly bi-Hamiltonian superanalogs of the known Lax-integrable nonlinear dynamical systems are obtained by using a relation for the Casimir functionals of central extensions of the Lie algebra of superconformal even vector fields and its adjoint semidirect sum.

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Authors and Affiliations

  1. Institute of Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    O. E. Hentosh

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  1. O. E. Hentosh
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 7, pp. 887–900, July, 2006.

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Hentosh, O.E. Compatibly bi-Hamiltonian superconformal analogs of Lax-integrable nonlinear dynamical systems. Ukr Math J 58, 1001–1015 (2006). https://doi.org/10.1007/s11253-006-0119-0

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  • DOI: https://doi.org/10.1007/s11253-006-0119-0

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