Stäckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions

DOI10.1088/1751-8113/41/48/485202zbMath1158.37025arXiv0805.3382OpenAlexW2013248103MaRDI QIDQ3548671

Maciej Błaszak, Krzysztof Marciniak

Publication date: 16 December 2008

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

Full work available at URL: https://arxiv.org/abs/0805.3382

zbMATH Keywords

solitonrational solutionsStäckel systemKdV hierarchies

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) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (8)

On Reciprocal Equivalence of Stäckel Systems ⋮ Multicomponent Painlevé ODEs and related nonautonomous KdV stationary hierarchies ⋮ Separable quantizations of Stäckel systems ⋮ Stäckel representations of stationary KdV systems ⋮ Flat coordinates of flat Stäckel systems ⋮ Integrable dispersive chains and their multi-phase solutions ⋮ Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems ⋮ Integrable quantum Stäckel systems

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