Continued fractions and integrable systems

DOI10.1016/S0377-0427(02)00607-6zbMath1021.37041OpenAlexW2082095764MaRDI QIDQ1874140

Jacek Szmigielski, David H. Sattinger, Richard W. Beals

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00607-6

zbMATH Keywords

integrable systemsStieltjes' theorem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Continued fractions; complex-analytic aspects (30B70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

\(Q\)-systems, heaps, paths and cluster positivity

Cites Work

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• On a class of physically important integrable equations
• Acoustic scattering and the extended Korteweg-de Vries hierarchy
• Wave breaking for nonlinear nonlocal shallow water equations
• On a completely integrable nonlinear hyperbolic variational equation
• Breakdown of a shallow water equation
• Multipeakons and the classical moment problem
• The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
• Inverse scattering solutions of the hunter-saxton equation
• Dynamics of Director Fields
• Linearization of the relativistic and discrete-time Toda lattices for particular boundary conditions
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• Calculating Laplace Transforms in Terms of the Toda Molecule
• Multi-peakons and a theorem of Stieltjes
• An integrable shallow water equation with peaked solitons
• On the Toda Lattice. II: Inverse-Scattering Solution
• Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
• PERIODIC PEAKONS AND CALOGERO–FRANÇOISE FLOWS
• On Schur flows
• A completely integrable Hamiltonian system
• Integrals of nonlinear equations of evolution and solitary waves
• The discrete relativistic Toda molecule equation and a Padé approximation algorithm
• Schur flow for orthogonal polynomials on the unit circle and its integrable discretization

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