Nonlinear Phenomena in Complex Systems, 2023, Vol.26, No.1, pp.131

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2023, Vol.26, No.2, pp.131 - 138

An Integrable Hierarchy without a Recursion Operator

Sergei Sakovich

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

Key words: nonlinear system, integrability, hierarchy, recursion operator

DOI: https://doi.org/10.33581/1561-4085-2023-26-2-131-138

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