2017
Том 69
№ 6

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

Hentosh О. Ye.

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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.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 7, pp 1001-1015.

Citation Example: Hentosh О. Ye. Compatibly bi-Hamiltonian superconformal analogs of Lax-integrable nonlinear dynamical systems // Ukr. Mat. Zh. - 2006. - 58, № 7. - pp. 887–900.

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