Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations
type: Item
instance of: scholarly article
title: Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations
zbMATH Open document ID: 1023.37042
author: D. Massart
published in: Regular and Chaotic Dynamics
publication date: 2003-09-14T00:00:00Z
review text: The author derives the KdV-Burgers and higher-order nonlinear Schrödinger equations as an Euler-Poincaré flow on the joint space of Hill's and first-order differential operators on the circle. He also studies a quasi-Hamiltonian pair of involution equations one member of which is the KdV-Burgers equation.
reviewed by: I. A. Taimanov
Mathematics Subject Classification ID: 37K65
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 1979644
zbMATH Keywords: differential operator
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: group of diffeomorphisms
MaRDI profile type: Publication
DOI: 10.1070/RD2002V007N04ABEH000220
description: scientific article; zbMATH DE number 1979644