Email this article Real Soliton Lattices of the Kadomtsev Petviashvili II Equation and Desingularization of Spectral Curves: The GrTP(2, 4) Case
- Authors: Abenda S.1, Grinevich P.G.2,3
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Affiliations:
- Dipartimento di Matematica
- L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences
- Faculty of Mechanics and Mathematics
- Issue: Vol 302, No 1 (2018)
- Pages: 1-15
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175627
- DOI: https://doi.org/10.1134/S0081543818060019
- ID: 175627
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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).
About the authors
Simonetta Abenda
Dipartimento di Matematica
Author for correspondence.
Email: simonetta.abenda@unibo.it
Italy, Piazza di Porta San Donato 5, Bologna (BO), 40126
Petr G. Grinevich
L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences; Faculty of Mechanics and Mathematics
Email: simonetta.abenda@unibo.it
Russian Federation, pr. Ak. Semenova 1a, Chernogolovka, Moscow oblast, 142432; Moscow, 119991
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