Nonholonomic deformation of generalized KdV-type equations

DOI10.1088/1751-8113/42/34/345201zbMath1179.35286OpenAlexW1971827164MaRDI QIDQ3648911

Partha Guha

Publication date: 1 December 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/34/345201

zbMATH Keywords

Virasoro algebraloop algebraAdler-Kostant-Symes scheme

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)

Related Items (10)

Symmetry reductions and exact solutions of two new generalized negative KdV type equations ⋮ Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy ⋮ Non-holonomic and quasi-integrable deformations of the AB equations ⋮ A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family ⋮ The generalized Kupershmidt deformation for constructing new discrete integrable systems ⋮ Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation ⋮ Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators ⋮ Geometric integrability of some generalizations of the Camassa-Holm equation ⋮ 2 + 1 KdV(N) equations ⋮ The quasi-periodic solutions of mixed KdV equations

This page was built for publication: Nonholonomic deformation of generalized KdV-type equations