Data di Pubblicazione:
2021
Citazione:
Lax Pairs for the Discrete Reduced Nahm Systems / G. Gubbiotti. - In: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. - ISSN 1385-0172. - 24:2(2021 Mar 18), pp. 9.1-9.13. [10.1007/s11040-021-09381-7]
Abstract:
We discretise the Lax pair for the reduced Nahm systems and prove its equivalence with the Kahan–Hirota–Kimura discretisation procedure. We show that these Lax pairs guarantee the integrability of the discrete reduced Nahm systems providing an invariant. Also, we show that Nahm systems cannot solve the general problem of characterisation of the integrability for Kahan–Hirota–Kimura discretisations.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Difference equations; Integrable discretisation; Lax pairs; Reduced Nahm systems;
Elenco autori:
G. Gubbiotti
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