Real soliton lattices of KP-II and desingularization of spectral curves: the GrTP(2,4) case

Abstract

We apply the general construction developed in references [4,5] to the first non-trivial case of GrTP(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 GrTP(2,4).

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