A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions
DOI10.1002/cpa.22079zbMath1526.74038arXiv2011.05964OpenAlexW3101328471WikidataQ113926662 ScholiaQ113926662MaRDI QIDQ6074554
Richard W. Beals, Jacek Szmigielski
Publication date: 12 October 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.05964
inverse problemDirichlet boundary conditioncompact operatorgeneralized Stieltjes continued fractionHankel moment matrixinhomogeneous matrix string problemisospectral beam deformation
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30) Convergence and divergence of continued fractions (40A15) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
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- Multi-component generalization of the Camassa-Holm equation
- Coupled Camassa-Holm equations, \(N\)-peakons and infinitely many conservation laws
- Inverse problems in vibrations.
- On isospectral deformations of an inhomogeneous string
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Multipeakons and the classical moment problem
- Isospectral flows for the inhomogeneous string density problem
- Two-component CH system: inverse scattering, peakons and geometry
- On the eigenvalues in problems with spherical symmetry
- Inverse Problem for the Vibrating Beam in the Free-Clamped Configuration
- On the spectral functions of the string
- Multi-peakons and a theorem of Stieltjes
- An integrable shallow water equation with peaked solitons
- 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
- Degasperis-Procesi peakons and the discrete cubic string
- Integrals of nonlinear equations of evolution and solitary waves
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