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 Author: Sidorenko, Yu.M.
Format: Article
Language:English
Published: Інститут математики НАН України 1993
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/172529
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:KP hierarchy and (1+1)-dimensional multicomponent integrable systems / Yu.M. Sidorenko // Український математичний журнал. — 1993. — Т. 45, № 1. — С. 91–104. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine