3 problems

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Rank-condition conjecture for Novikov–Veselov soliton interactions
Rank-condition conjecture. The rank condition for the KP-(II) equation should also hold for $y\gg0$ and $y\ll0$ in the Novikov–Veselov equation. In particular, for the permutation…
Conjectureopenintegrable-systems novikov-veselov-equation soliton-equationsarXiv posted 2 days ago
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Conjecture on soliton-like outgoing waves for near-integrable nonlinearities
Let a nonlinear dispersive evolution have a nonlinearity close to an integrable one and admit solitary waves. Consider the outgoing waves produced by the scattering dynamics descri…
Conjecturesolvednonlinear-schrodinger-equation scattering-theory soliton-equationsarXiv posted 2 days ago
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Givental–Milanov conjecture on the coincidence of two simple-singularity hierarchies
Let $a_i$ be the coefficients in the hierarchy constructed from the principal realization of the basic representation, and let $\widetilde{a}_i$ be the coefficients in the hierarch…
Conjectureopensimple-singularities soliton-equations vertex-operatorsarXiv posted 2 days ago

Rank-condition conjecture for Novikov–Veselov soliton interactions