Almost everything you always wanted to know about the Toda equation.

zbMath1039.37058MaRDI QIDQ5961134

Gerald Teschl

Publication date: 2001

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

zbMATH Keywords

quasi-periodic solutionsBäcklund transformationshierarchiesLax pairs\(N\)-soliton solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (15)

On the even solutions of the Toda system: a degree argument approach ⋮ Singular solutions of Toda system in high dimensions ⋮ On the evolution of scattering data under perturbations of the Toda lattice ⋮ Orthogonal functions related to Lax pairs in Lie algebras ⋮ Lieb-Robinson bounds for the Toda lattice ⋮ Unique continuation for discrete nonlinear wave equations ⋮ On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ Solitary waves in mass-in-mass lattices ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation ⋮ Long-time asymptotics for the Toda lattice in the soliton region ⋮ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains ⋮ Ranking with Hamiltonian dynamics ⋮ Occurrence of vibrational resonance in an oscillator with an asymmetric Toda potential ⋮ Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model

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