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)
Simonetta Abenda, Petr G Grinevich (2018). Real Soliton Lattices of the Kadomtsev Petviashvili II Equation and Desingularization of Spectral Curves: The GrTP(2, 4) Case. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 302, 1-15 [10.1134/S0081543818060019].
Real Soliton Lattices of the Kadomtsev Petviashvili II Equation and Desingularization of Spectral Curves: The GrTP(2, 4) Case
Simonetta Abenda
Membro del Collaboration Group
;
2018
Abstract
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)File in questo prodotto:
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