On Fay identity

DOI10.1063/1.2338146zbMath1112.14041OpenAlexW2128818247MaRDI QIDQ3442041

Y.P.Mishev

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2338146

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Theta functions and abelian varieties (14K25) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

• Characterization of Jacobian varieties in terms of soliton equations
• A matrix integral solution to two-dimensional \(W_ p\)-gravity
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• On the Fay identity for Korteweg–de Vries tau functions and the identity for the Wronskian of squared solutions of Sturm–Liouville equation
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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