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Covariance of Lax Pairs and Integrability of the Compatibility Condition

Theoretical and Mathematical Physics, 2001
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A Lax pair of the discrete Euler top

Journal of Physics A: Mathematical and Theoretical, 2017
Summary: We proposed the discrete Euler top in 2000 [\textit{R. Hirota} and the author, J. Phys. Soc. Japan 69, No. 3, 627--630 (2000; Zbl 1058.70504)]. In that paper, exact solutions and conserved quantities are described. However, a Lax pair of our proposed discrete Euler top is not contained. Moreover, the Lax pair is still unknown.
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Lax pairs for one of hierarchies similar to the first Painlevé hierarchy

Applied Mathematics Letters, 2021
Nikolay A Kudryashov
exaly  

The Idea of a Lax Pair-Part II

Resonance, 2021
Govind S. Krishnaswami, T. R. Vishnu
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Lax pairs for 3D spatial problems based on the Dirac operator

Complex Variables and Elliptic Equations, 2014
Swanhild Bernstein   +2 more
exaly  

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