True and fake Lax pairs: how to distinguish them

Details True and fake Lax pairs: how to distinguish them True and fake Lax pairs: how to distinguish them

2001-12-18

arxiv.org/abs/nlin/0112027v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages

Scientific paper

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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