2 problems

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Reciprocal-transformation conjecture for the Painlevé test
An equation is called integrable when it belongs to the class of integrable partial differential equations, and the Painlevé test is the algebraic test for the Painlevé property of…
Conjectureopenintegrable-systems painleve-analysis partial-differential-equationsarXiv posted 2 days ago
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Vector Ito system conjecture on Painlevé integrability and zero-curvature representation
Vector Ito system conjecture. For any such constants and any integer $m$ , this system passes the Painlevé test for integrability and possesses a parametric zero-curvature represent…
Conjectureopenintegrable-systems painleve-analysis zero-curvature-representationsarXiv posted 2 days ago

Reciprocal-transformation conjecture for the Painlevé test