2 papers
math.DG2026
Finite-Gap Solutions of the Pohlmeyer--Lund--Regge Equation and the Associated Curve Evolution
Yuhei Kogo
We develop a finite-gap construction for the Pohlmeyer--Lund--Regge (PLR) equation and the associated Lund--Regge curve evolution. From the hyperelliptic spectral data we build a B…
math.DG2025
The evolution of a curve induced by the Pohlmeyer-Lund-Regge equation
Shimpei Kobayashi, Yuhei Kogo, Nozomu Matsuura
This paper investigates the evolution of space curves governed by the Pohlmeyer-Lund-Regge (PLR) equation, an integrable extension of the sine-Gordon equation. We examine a specifi…