2 problems
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Dubrovin–Grava–Klein conjecture for generalized KP dispersive shock waves
Let denote the real pole-free solution of the second member of the Painlevé I hierarchy, … with . Consider solutions of generalized Kadomtsev–Petviashvili…
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Saut–Tzvzetkov's global well-posedness conjecture for fifth-order KP-I
Saut–Tzvzetkov's -data conjecture. The IVP is globally well-posed for such initial data . This conjecture asks whether the global well-posedness known for the analogous…