Heat equations and families of two-dimensional sigma functions

DOI10.1134/S0081543809030018zbMath1185.37148OpenAlexW2091165952MaRDI QIDQ1048441

Elena Yu. Bunkova, Victor M. Buchstaber

Publication date: 12 January 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809030018

zbMATH Keywords

Chazy equationelliptic sigma functionfamilies of two-dimensional sigma functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70)

Related Items (2)

Geometric differential equations on bundles of Jacobians of curves of genus 1 and 2 ⋮ Polynomial dynamical systems and ordinary differential equations associated with the heat equation

Cites Work

• On algebraic expressions of sigma functions for (\(n, s\)) curves
• The addition law attached to a stratification of a hyperelliptic Jacobian variety
• E-compact extensions of topological spaces
• On a generalized Frobenius-Stickelberger addition formula
• Symmetry and the Chazy equation
• Bilinear recurrences and addition formulae for hyperelliptic sigma functions
• Identities for hyperelliptic ℘-functions of genus one, two and three in covariant form
• DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS
• A SL(2) covariant theory of genus 2 hyperelliptic functions
• Multidimensional Schrödinger equations with Abelian potentials
• Sigma Function as A Tau Function
• Abelian Functions for Trigonal Curves of Genus Three
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