2 problems

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ARS conjecture on reductions of integrable partial differential equations
ARS conjecture. Any ordinary differential equation which arises as a reduction of an integrable partial differential equation possesses the Painlevé property, possibly after a tran…
Conjectureopenintegrable-systems ordinary-differential-equations painleve-propertyarXiv posted 2 days ago
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Vanishing conjecture for the odd generating functions
Let $\overset{\;\infty}{A}_k(x)$ denote the generating functions for the asymptotic coefficients introduced in the procedure, and let $j\in\mathbb{N}$ . Vanishing conjecture. The fu…
Conjecturesolvedasymptotic-analysis generating-functions painleve-propertyarXiv posted 2 days ago

ARS conjecture on reductions of integrable partial differential equations