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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/313166
Title: An Integrable Hierarchy without a Recursion Operator
Authors: Sakovich, S.
Keywords: ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика
Issue Date: 2023
Publisher: Minsk : Education and Upbringing
Citation: Nonlinear Phenomena in Complex Systems. - 2023. - Vol. 26. - № 2. - P. 131-138
Abstract: We study the Lax integrability of a nonlinear system of two coupled second-order evolution equations introduced by Ibragimov and Shabat. For this system we find a zero-curvature representation with an essential parameter, construct an infinite integrable hierarchy which the system belongs to, and show that this hierarchy does not possess a recursion operator.
URI: https://elib.bsu.by/handle/123456789/313166
ISSN: 1561-4085
DOI: 10.33581/1561-4085-2023-26-2-131-138
Licence: info:eu-repo/semantics/openAccess
Appears in Collections:2023. Volume 26. Number 2

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