Real soliton lattices of KP-II and desingularization of spectral curves: the Gr^{TP}(2,4) case

Abstract

We apply the general construction developed in references [4,5] to the first non-trivial case of Gr^{TP}(2,4). In particular, we construct finite-gap KP-II real quasiperiodic solutions in the form of soliton lattice corresponding to a smooth genus 4 M-curve, which is a desingularization of a reducible rational M-curve for soliton data in Gr^{TP}(2,4).

20 pages, several figures. Minor corrections

References in corpus (1)

• Total positivity, Grassmannians, and networks

Cited by in corpus (2)

• On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
• KP theory, plabic networks in the disk and rational degenerations of M--curves