vix.ing · top · new · best · stats · spec

Real-Spectrum Darboux Limits at Multiple Spatial Roots of the Coupled Fokas-Lenells System

2026/07/20 by Muchen Dong, Lei Wang · 1 voice
#nlin.SI

paper · pdf

Abstract

We investigate Darboux constructions generated by multiple spatial roots of the coupled Fokas-Lenells system on a plane-wave background. Nonreal double roots give regular one-fold transformations, whereas real double and triple roots require directional real-spectrum limits. We classify the admissible projective null sets, derive the leading spectral corrections, and establish global regularity. A critical background relation additionally produces a persistent zero branch, leading to distinct nonlocal plateaus along parabolic corridors, cubic level sets, and a characteristic line.

Discussions

Related