On an integrable discretization of the modified Korteweg-de Vries equation.

DOI10.1016/S0375-9601(97)00592-6zbMath1044.35523arXivsolv-int/9702003MaRDI QIDQ1968451

Yuri Borisovich Suris

Publication date: 7 March 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9702003

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) Discrete version of topics in analysis (39A12)

Related Items (6)

INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES ⋮ Functional Representation of the AblowitzLadik Hierarchy. II ⋮ A \(2 + 1\) non-isospectral integrable lattice hierarchy related to a generalized discrete second Painlevé hierarchy ⋮ Matrix semidiscrete Ablowitz–Ladik equation hierarchy and a matrix discrete second Painlevé equation ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems ⋮ On the continuous limits and integrability of a new coupled semidiscrete mKdV system

Cites Work

• Linear integral equations and nonlinear difference-difference equations
• Analytical and numerical aspects of certain nonlinear evolution equations. IV: Numerical, modified Korteweg-de Vries equation
• Bi-Hamiltonian structure of the \(qd\) algorithm and new discretizations of the Toda lattice
• Faces of Relativistic Toda Chain
• Nonlinear differential–difference equations and Fourier analysis
• On the Solution of a Class of Nonlinear Partial Difference Equations
• A discrete-time relativistic Toda lattice
• Integrable discretizations of the Bogoyavlensky lattices
• Unnamed Item

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