Integrable three-dimensional lattices

From MaRDI portal
Publication:3937754

DOI10.1088/0305-4470/14/7/013zbMath0481.35046OpenAlexW2067252500MaRDI QIDQ3937754

Decio Levi, L. Pilloni, Paolo Maria Santíni

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/7/013



Related Items

Theory of integrable three-dimensional nonlinear lattice equations, Cellular automata in \(1+1\), \(2+1\) and \(3+1\) dimensions, constants of motion and coherent structures, Discrete Toda lattices and the Laplace method, The discrete Korteweg-de Vries equation, One variant of a \((2+1)\)-dimensional Volterra system and its \((1+1)\)-dimensional reduction, Lattice equations, hierarchies and Hamiltonian structures. II: KP-type of hierarchies on 2D lattices, Lattice equations, hierarchies and Hamiltonian structures. III: The 2D Toda and KP hierarchies, Discrete Toda field equations, Higher symmetries of two-dimensional lattices, An example of ∂̄ problem arising in a finite difference context: Direct and inverse problem for the discrete analog of the equation ψx x+uψ=σψy, Multidimensional quadrilateral lattices are integrable., Geometric discretisation of the Toda system., Recursion operator and bi-Hamiltonian structure for integrable multidimensional lattices, Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method, Darboux-integrable discrete systems, Discrete analogues of the Liouville equation, Integrable discretization of soliton equations via bilinear method and Bäcklund transformation, Linearizing integral transform for the multicomponent lattice KP, Toda chain and nonlinear Schrödinger equation. Nonlocalities, System of equations for stimulated combination scattering and the related double periodic \(A _n^{(1)}\) Toda chains, Forced (2 + 1)-dimensional discrete three-wave equation, C-series discrete chains