Real Soliton Lattices of the Kadomtsev Petviashvili II Equation and Desingularization of Spectral Curves: The GrTP(2, 4) Case


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We apply the general construction developed in our previous papers to the first nontrivial case of GrTP(2, 4). In particular, we construct finite-gap real quasi-periodic solutions of the KP-II equation in the form of a soliton lattice corresponding to a smooth M-curve of genus 4 which is a desingularization of a reducible rational M-curve for soliton data in GrTP(2, 4).

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Simonetta Abenda

Dipartimento di Matematica

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Email: simonetta.abenda@unibo.it
意大利, Piazza di Porta San Donato 5, Bologna (BO), 40126

Petr Grinevich

L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences; Faculty of Mechanics and Mathematics

Email: simonetta.abenda@unibo.it
俄罗斯联邦, pr. Ak. Semenova 1a, Chernogolovka, Moscow oblast, 142432; Moscow, 119991

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