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math.AP2025
Scattering of Rational Solutions to the Half-Wave Maps Equation
Gaspard Ohlmann
This article studies the rational solutions of the Half-Wave Maps equation (HWM) in the non-singular spectrum case. We first provide characterizations to what we call \emph{scatter…
math.AP2024
Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles
Gaspard Ohlmann
We establish an explicit formula for the Half-Wave maps equation for rational functions with simple poles. The Lax pair provides a description of the evolution of the poles. By con…