Discovery of lattice soliton

DOI10.1088/1751-8121/aaa256zbMath1404.37086OpenAlexW2778029603MaRDI QIDQ4606186

Morikazu Toda

Publication date: 1 March 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/aaa256

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) History of dynamical systems and ergodic theory (37-03)

Related Items (3)

Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions ⋮ Nonlinear integrable dynamics of coupled vibrational and intra-site excitations on a regular one-dimensional lattice ⋮ Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior

Cites Work

• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Method for Solving the Korteweg-deVries Equation
• A complete solution of the periodic Toda problem
• Solitons and Heat Conduction
• Integrals of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals

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