A remark on the Hankel determinant formula for solutions of the Toda equation

DOI10.1088/1751-8113/40/42/S11zbMath1129.37039arXivnlin/0701029OpenAlexW3102262814MaRDI QIDQ5424933

Marta Mazzocco, Kenji Kajiwara, Yasuhiro Ohta

Publication date: 7 November 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0701029

zbMATH Keywords

Painlevé equationdeterminantal formula

Mathematics Subject Classification ID

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

Related Items (6)

Catalan-Qi numbers, series involving the Catalan-Qi numbers and a Hankel determinant evaluation ⋮ Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants ⋮ Geometric aspects of Painlevé equations ⋮ On symmetries of the non-stationary PIIn hierarchy and their applications ⋮ Determinant structure for \(\tau\)-function of holonomic deformation of linear differential equations ⋮ Classical integrability for beta-ensembles and general Fokker-Planck equations

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