MathDB3 problems
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Painlevé I hierarchy asymptotics conjecture for Camassa–Holm break-up
Painlevé I hierarchy asymptotics conjecture. A special solution to the second equation in the Painlevé I hierarchy provides an asymptotic description of the break-up of Camassa–Hol…
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Cyclicity conjecture for the highest Hamiltonian of the quadratic Poisson structure
Cyclicity conjecture. The Hamiltonian is the cyclic variable of the quadratic Poisson structure.
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Conjectured coefficients in the transfer-matrix expansion for Camassa–Holm peakons
Conjectured coefficient formula. The coefficients satisfy