Lax representations and integrable time discretizations of the DDKdV, DDmKdV, and DDHOKdV

DOI10.1016/S0375-9601(98)00948-7zbMath0985.37070MaRDI QIDQ1967084

Wei-Min Xue, Hong-ci Huang, Zuo-nong Zhu

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Lax representationdiscrete zero curvature equationdiscrete KdV equationsdifferential-difference Caudrey-Dodd-Gibbon-Kotera-Sawada equationdifferential-difference high order KdV equationsdifferential-difference integrable equationdifferential-difference KdV equationdifferential-difference mKdV equationsdiscrete high order KdV equationsdiscrete mKdV equationsintegrable time discretizations

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Generating integrable lattice hierarchies by some matrix and operator Lie algebras ⋮ New applications of a kind of infinitesimal-operator Lie algebra ⋮ A Few Integrable Dynamical Systems, Recurrence Operators, Expanding Integrable Models and Hamiltonian Structures by the r -Matrix Method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Analytical and numerical aspects of certain nonlinear evolution equations. IV: Numerical, modified Korteweg-de Vries equation
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Casorati determinant solution for the discrete-time relativistic Toda lattice equation
• Bilinearization of discrete soliton equations and singularity confinement.
• A Differential-Difference Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• Bilinear discrete Painleve equations
• The inverse scattering transform: Semi-infinite interval
• Nonlinear differential–difference equations and Fourier analysis
• A new hierarchy of Korteweg–de Vries equations
• Soliton solutions and the higher order Korteweg–de Vries equations
• The prolongation structure of a higher order Korteweg-de Vries equation
• Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices
• Ultradiscrete KdV Equation
• Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Do integrable mappings have the Painlevé property?
• Bäcklund transformations and nonlinear superposition formulae of a differential-difference KdV equation

This page was built for publication: Lax representations and integrable time discretizations of the DDKdV, DDmKdV, and DDHOKdV