On the continuous limit of integrable lattices III. Kupershmidt systems and KdV theories

DOI10.1088/0305-4470/31/11/018zbMath0921.35147OpenAlexW2071635612MaRDI QIDQ4235470

Livio Pizzocchero, Carlo Morosi

Publication date: 22 July 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/11/018

zbMATH Keywords

Lax pairHamiltonian formulationPoisson tensorKdV-type theoryKupershmidt lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Explicit solutions for a semidiscrete Boussinesq system ⋮ A KIND OF NEW CONTINUOUS LIMITS OF AN INTEGRABLE COUPLING SYSTEM FOR DISCRETE AKNS HIERARCHY ⋮ A fifth order semidiscrete mKdV equation ⋮ An integrable coupling system of lattice hierarchy and its continuous limits ⋮ The relation between the Toda hierarchy and the KdV hierarchy ⋮ Continuous limits for an integrable coupling system of Toda equation hierarchy ⋮ Continuous Correspondence of Conservation Laws of the Semi-discrete AKNS System

This page was built for publication: On the continuous limit of integrable lattices III. Kupershmidt systems and KdV theories