Computational approach to hyperelliptic Riemann surfaces

DOI10.1007/s11005-015-0743-4zbMath1317.14127arXiv1408.2201OpenAlexW2055307005MaRDI QIDQ2017868

Jörg Frauendiener, Christian Klein

Publication date: 23 March 2015

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2201

zbMATH Keywords

sine-Gordon equationspectral methodshyperelliptic Riemann surfacesAbel map

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45) Relationships between algebraic curves and integrable systems (14H70) Computational aspects of algebraic curves (14Q05)

Related Items

Numerical approach to Painlevé transcendents on unbounded domains, Computing period matrices and the Abel-Jacobi map of superelliptic curves, Multidomain spectral method for the Gauss hypergeometric function, Efficient computation of multidimensional theta functions, Computational approach to compact Riemann surfaces, Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere, High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data, Computational approach to hyperelliptic Riemann surfaces, Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models, On the elliptic-localized solutions of the sine-Gordon equation

Uses Software

• Matlab
• MultRoot

Cites Work

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