2019
Том 71
№ 11

All Issues

KP hierarchy and (1+1)-dimensional multicomponent integrable systems

Sidorenko Yu. M.

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Abstract

New types of reduction of the Kadomtsev-Petviashvili (KP) hierarchy are considered on the basis of Sato's approach. As a result, we obtain a new multicomponent nonlinear integrable system. Bi-Hamiltonian structures for the new equations are presented.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 1, pp 100-115.

Citation Example: Sidorenko Yu. M. KP hierarchy and (1+1)-dimensional multicomponent integrable systems // Ukr. Mat. Zh. - 1993. - 45, № 1. - pp. 91–104.

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