On the Fay identity for Korteweg–de Vries tau functions and the identity for the Wronskian of squared solutions of Sturm–Liouville equation

DOI10.1063/1.532873zbMath0952.37032arXivmath/9804077OpenAlexW1488518070MaRDI QIDQ4701863

Y.P.Mishev

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math/9804077

zbMATH Keywords

Sturm-Liouville equationKdV hierarchyFay identity

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Theta functions and curves; Schottky problem (14H42)

Related Items (1)

On Fay identity

Cites Work

• Characterization of Jacobian varieties in terms of soliton equations
• A matrix integral solution to two-dimensional \(W_ p\)-gravity
• Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation
• Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators
• Crum-Krein transforms and Lambda -operators for radial Schrodinger equations
• The whitham equations revisited
• Some kernels on a riemann surface

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