Lagrangian time-discretization of the Korteweg-de Vries equation

DOI10.1016/S0375-9601(00)00258-9zbMath1115.37351OpenAlexW2047377293WikidataQ126407842 ScholiaQ126407842MaRDI QIDQ997875

Alexei V. Penskoi

Publication date: 8 August 2007

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00258-9

zbMATH Keywords

Korteweg-de Vries equationVirasoro groupLagrangian discrete systems

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lagrange's equations (70H03)

Related Items (1)

Lagrangian time-discretization of the Hunter-Saxton equation

Cites Work

• Unnamed Item
• Integrable Lagrangian correspondences and the factorization of matrix polynomials
• Integrable discrete-time systems and difference operators
• Korteweg - de Vries suoerequation as an Euler equation
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• On the characteristic classes of groups of diffeomorphisms
• Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\)
• Discrete Lagrangian systems on the Virasoro group
• Rotation number, geometrical structures on a circle and Bott-Virasoro group
• The discrete Korteweg-de Vries equation

This page was built for publication: Lagrangian time-discretization of the Korteweg-de Vries equation