Multidimensional Toda lattices: continuous and discrete time
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Publication:298882
DOI10.3842/SIGMA.2016.054zbMath1341.42042arXiv1511.08098MaRDI QIDQ298882
Maxim Derevyagin, Hiroshi Miki, Walter Van Assche, Alexander I. Aptekarev
Publication date: 21 June 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08098
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Partial difference equations (39A14)
Related Items (13)
A generalization of Laurent biorthogonal polynomials and related integrable lattices ⋮ Non-commutative Hermite-Padé approximation and integrability ⋮ Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials ⋮ Hermite-Padé approximation and integrability ⋮ Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system ⋮ Multiple Askey–Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials ⋮ Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals ⋮ Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials ⋮ Solitons of the (2+2)-dimensional Toda lattice ⋮ Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis ⋮ Multiple big q-Jacobi polynomials ⋮ Non-autonomous multidimensional Toda system and multiple interpolation problem
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