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

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.

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Bibliographic Details
Date:1993
Main Authors: Sidorenko, Yu. M., Сидоренко, Ю. М.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5787
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal