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19 April 2024
 
  » arxiv » nlin.SI/0112027

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True and fake Lax pairs: how to distinguish them
S. Yu. Sakovich ;
Date 18 Dec 2001
Subject Exactly Solvable and Integrable Systems; Mathematical Physics; Analysis of PDEs | nlin.SI math-ph math.AP math.MP
AbstractThe 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.
Source arXiv, nlin.SI/0112027
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