Nonisospectral Flows on Semi-infinite Jacobi Matrices

DOI10.2991/jnmp.1994.1.2.1zbMath0952.35137OpenAlexW2104476587MaRDI QIDQ4504603

Michael Shmoish, Yurij M. Berezansky

Publication date: 14 September 2000

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

Full work available at URL: https://doi.org/10.2991/jnmp.1994.1.2.1

zbMATH Keywords

uniquenessorthogonal polynomialsCauchy problemToda latticeLax pairLax pair operator equation

Mathematics Subject Classification ID

Related Items (12)

Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ Integration of semi-infinite Toda chains in some class of unbounded solutions ⋮ Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data ⋮ Moment modification, multipeakons, and nonisospectral generalizations ⋮ Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants ⋮ Nonisospectral Lotka–Volterra Systems as a Candidate Model for Food Chain ⋮ The geometry of differential constraints for a class of evolution PDEs ⋮ Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices ⋮ Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices ⋮ A new multi-component integrable coupling and its application to isospectral and nonisospectral problems ⋮ Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs ⋮ Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle

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