Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy

DOI10.1063/1.3267067zbMath1220.37050OpenAlexW1986007825MaRDI QIDQ3583739

Mario Bruschi, Francesco Calogero, Riccardo Droghei

Publication date: 17 August 2010

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

Full work available at URL: https://semanticscholar.org/paper/937adc2e0248438c776a2a6e7610205ad69c46d1

zbMATH Keywords

integral equationspolynomialsrational functionsoscillationsKorteweg-de Vries equationeigenvalues and eigenfunctions

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) Applications of hypergeometric functions (33C90)

Related Items (1)

Isochronous dynamical systems

Cites Work

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• Additional recursion relations, factorizations, and diophantine properties associated with the polynomials of the Askey scheme
• From Agmon-Kannai expansion to Korteweg-de Vries hierarchy
• Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: results from the stationary Burgers hierarchy
• Hypergeometric origins of Diophantine properties associated with the Askey scheme
• Isochronous Systems

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