Finite-Gap Solutions of the Pohlmeyer--Lund--Regge Equation and the Associated Curve Evolutionmath.DG
Develops finite-gap solutions for Pohlmeyer--Lund--Regge equation and Lund--Regge curve evolution.
problem Solving the Pohlmeyer--Lund--Regge equation and understanding Lund--Regge curve evolution.
method Finite-gap construction using hyperelliptic spectral data, Baker--Akhiezer function, and -frame.
result Explicit theta-quotient formula for PLR solutions and criteria for Lund--Regge curve evolution.