Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems
type: Item
instance of: scholarly article
title: Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems
zbMATH Open document ID: 0607.58017
DOI: 10.1016/0167-2789(86)90210-1
author: Fernando Lund
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: If X is a submanifold of the phase space of a Hamiltonian system with Poisson bracket \(\{\), \(\}\), the author chooses a new bracket \(\{\), \(\}\) \({}^*\) that will turn X into a symplectic manifold. The theory is used to give ''a new look at the Hamiltonian structure of the Korteweg-de Vries, Kadomtsev-Petviashvili, and sine-Gordon (in light-cone coordinates) equations''.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37N99
zbMATH DE Number: 3982112
zbMATH Keywords: phase space
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: Poisson bracket
zbMATH Keywords: symplectic manifold
zbMATH Keywords: Korteweg-de Vries
zbMATH Keywords: Kadomtsev-Petviashvili
zbMATH Keywords: sine-Gordon
reviewed by: Waldyr Muniz Oliva
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90210-1
OpenAlex ID: W2091331452
cites work: Q3925229
cites work: Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
cites work: Four examples of the inverse method as a canonical transformation
cites work: Essentially nonlinear one-dimensional model of classical field theory
cites work: The Goursat and Cauchy Problems for the Sine-Gordon Equation
description: scientific article; zbMATH DE number 3982112