An integral operator solution to the matrix Toda equations

DOI10.1216/jiea/1181074234zbMath0920.34035arXivsolv-int/9702007OpenAlexW1996517373MaRDI QIDQ1275267

Harold Widom

Publication date: 9 September 1999

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9702007

zbMATH Keywords

Painlevé equationToda equationToda lattice hierarchydeterminant of integral operator

Mathematics Subject Classification ID

Integral operators (45P05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Singular limits of relative entropy in two dimensional massive free fermion theory ⋮ Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs

Cites Work

• Holonomic quantum fields. IV
• Differential equations for sine-Gordon correlation functions at the free fermion point
• Some classes of solutions to the Toda lattice hierarchy
• Fredholm determinants and the mKdV/Sinh-Gordon hierarchies
• Painlevé functions of the third kind

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