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True and fake Lax pairs: how to distinguish them

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arxiv nlin/0112027 v2 pith:TD7RV2NL submitted 2001-12-18 nlin.SI math-phmath.APmath.MP

Sergei Sakovich This is my paper · ORCID
classification nlin.SImath-phmath.APmath.MP
keywords pairsfaketruedistinguishappliedbasescyclicdescription
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The gauge-invariant description of zero-curvature representations of evolution equations is applied to the problem of how to distinguish the fake Lax pairs from the true Lax pairs. The main difference between the true Lax pairs and the fake ones is found in the structure of their cyclic bases.

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  1. Machine-Learning Search for Lax Connections

    hep-th 2026-08 conditional novelty 5.0 of 10

    An ML search for Lax connections recovers known spectral-parameter families in SU(2) PCM and S^2, but the low-loss candidate found for the non-symmetric coset T^{1,1} is a fake Lax connection, not a genuine integrabil...

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