Isospectral flows for the inhomogeneous string density problem

DOI10.1007/s00332-018-9451-4zbMath1409.34029arXiv1710.01149OpenAlexW2761980229WikidataQ112166353 ScholiaQ112166353MaRDI QIDQ1668681

Jacek Szmigielski, Andrzej Z. Górski

Publication date: 29 August 2018

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01149

zbMATH Keywords

continued fractionsisospectral flowsinhomogeneous string

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (2)

A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions ⋮ A view of the peakon world through the lens of approximation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit solution of the inverse problem for a vibrating string
• The string of variable density: perturbative and non-perturbative results
• The string of variable density: further results
• On isospectral deformations of an inhomogeneous string
• The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
• Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• The Camassa--Holm Equation and The String Density Problem
• On the spectral functions of the string
• Multi-peakons and a theorem of Stieltjes
• Fredholm determinants and the Camassa-Holm hierarchy
• An integrable shallow water equation with peaked solitons
• Casimir forces between beads on strings
• Zero curvature formulations of dual hierarchies
• The string density problem and the Camassa–Holm equation
• On some spectral problems and isospectral evolutions connected with the classical string problem
• On some spectral problems and isospectral evolutions connected with the classical string problem

This page was built for publication: Isospectral flows for the inhomogeneous string density problem