Integrable theory of the perturbation equations.
type: Item
instance of: scholarly article
title: Integrable theory of the perturbation equations.
zbMATH Open document ID: 1080.37578
DOI: 10.1016/0960-0779(95)00104-2
published in: Chaos, Solitons and Fractals
publication date: 2006-02-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/solv-int/9604004
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 5007134
author: Wen-Xiu Ma
author: Benno Fuchssteiner
MaRDI profile type: Publication
OpenAlex ID: W3102905151
arXiv ID: solv-int/9604004
cites work: Soliton Evolution in the Presence of Perturbation
cites work: A Green’s function for a linear equation associated with solitons
cites work: Perturbations of Solitons and Solitary Waves
cites work: Hamiltonian perturbation theory and water waves
cites work: A direct approach to studying soliton perturbations
cites work: Perturbations on the K-dV solitons -- an approach based on the multiple time scale expansion
cites work: Slowly Varying Solitary Wave Solutions of the Perturbed Korteweg‐de Vries Equation Revisited
cites work: Perturbation method for a generalized Burgers' equation
cites work: Complete integrability of the Kortweg-de Vries equation under perturbation around its solution: Lie-Backlund symmetry approach
cites work: The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
cites work: The Korteweg–de Vries hierarchy and long water-waves
cites work: Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: Q4280871
cites work: Dirac constraints in field theory: Lifts of Hamiltonian systems to the cotangent bundle
cites work: Q3359429
cites work: Application of hereditary symmetries to nonlinear evolution equations
cites work: Hamiltonian operators and algebraic structures related to them
cites work: A simple model of the integrable Hamiltonian equation
cites work: On the integrability of multidimensional nonlinear evolution equations
cites work: The modified Korteweg-de Vries equation
cites work: K symmetries and tau symmetries of evolution equations and their Lie algebras
cites work: The algebraic structures of isospectral Lax operators and applications to integrable equations
cites work: On the theory of recursion operator
cites work: Hamiltonian theory over noncommutative rings and integrability in multidimensions
cites work: Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
cites work: Generators of vector fields and time dependent symmetries of evolution equations
cites work: Mastersymmetries, higher order time-dependent symmetries and conserved densities of nonlinear evolution equations.
description: scientific article