Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices

DOI10.1007/s10688-008-0001-yzbMath1168.34038OpenAlexW2058778684MaRDI QIDQ1002786

A. A. Mokhon'ko, Yurij M. Berezansky

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0001-y

zbMATH Keywords

Toda latticespectral representationgeneralized eigenvectorblock Jacobi matrix

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Special classes of linear operators (47B99)

Related Items (2)

Solution of the finite Toda lattice with self-consistent source ⋮ Jacobi-type block matrices corresponding to the two-dimensional moment problem: polynomials of the second kind and Weyl function

Cites Work

• Highest weight representations of the Lie algebra \(\mathfrak{gl}_{\infty}\)
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• Three integrable Hamiltonian systems connected with isospectral deformations
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Integration of semi-infinite Toda chains in some class of unbounded solutions
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Elementary Toda orbits and integrable lattices
• On the complex moment problem
• Evolution equations associated with the discrete analog of the matrix Schrödinger spectral problem solvable by the inverse spectral transform
• The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem
• On Some Periodic Toda Lattices
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• Nonisospectral Flows on Semi-infinite Jacobi Matrices
• Convergence of Bellman-Harris branching processes
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