An integrable hierarchy without a recursion operator
Exactly Solvable and Integrable Systems
2023-07-13 v1 Mathematical Physics
math.MP
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.
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Cite
@article{arxiv.2305.00530,
title = {An integrable hierarchy without a recursion operator},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:2305.00530},
year = {2023}
}
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10 pages