On normalized differentials on families of curves of infinite genus
T. Kappeler, P. Lohrmann, P. Topalov
TL;DR
This paper constructs normalized differentials on infinite genus curves to facilitate the study of integrable PDEs like the focusing Nonlinear Schrödinger equation.
Contribution
It introduces a method to construct normalized differentials on infinite genus curves, advancing the analysis of integrable PDEs.
Findings
Normalized differentials are constructed for infinite genus curves.
Application to the focusing Nonlinear Schrödinger equation.
Provides tools for further analysis of integrable systems.
Abstract
We construct normalized differentials on families of curves of infinite genus. Such curves are used to investigate integrable PDE's such as the focusing Nonlinear Schr{\"o}dinger equation.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems