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On nomalized differentials on spectral curves associated to thesinh-Gordon equation
- Publication Year :
- 2020
-
Abstract
- The spectral curve associated with the sinh-Gordon equation on the torus is defined interms of the spectrum of the Lax operator appearing in the Lax pair formulation of the equation. If thespectrum is simple, it is an open Riemann surface of infinite genus. In this paper we construct normalizeddifferentials and derive estimates for the location of their zeroes.<br />Comment: 58 pages, 7 figures
- Subjects :
- Mathematics - Dynamical Systems
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2003.09194
- Document Type :
- Working Paper