Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs
type: Item
instance of: scholarly article
title: Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs
zbMATH Open document ID: 1467.35019
DOI: 10.1134/S004057792102001X
published in: Theoretical and Mathematical Physics
publication date: 2021-06-29T00:00:00Z
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35B06
zbMATH DE Number: 7364258
zbMATH Keywords: nonlocal symmetry
zbMATH Keywords: Boussinesq equation
zbMATH Keywords: modified generalized Vakhnenko equation
zbMATH Keywords: Hirota-Satsuma equation
zbMATH Keywords: Sawada-Kotera equation
Wikidata QID: Q115248081
author: Xiazhi Hao
MaRDI profile type: Publication
cites work: Q3963468
cites work: Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
cites work: Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
cites work: Q4901285
cites work: New nonlocal symmetries with pseudopotentials
cites work: Pseudopotentials and symmetries of evolution equations
cites work: Nonlocal symmetries. Heuristic approach
cites work: Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations
cites work: Non-local symmetries via Darboux transformations
cites work: Symmetries and conservation laws of the generalized Krichever–Novikov equation
cites work: Nonlocal symmetries and the Kaup–Kupershmidt equation
cites work: Nonlocal symmetries and a Darboux transformation for the Camassa–Holm equation
cites work: Nonlocal symmetries, compacton equations, and integrability
cites work: Third order spectral problems: reductions and Darboux transformations
cites work: On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
cites work: The two-dimensional second-order differential spectral problem: compatibility conditions, general BTs and integrable equations
cites work: On the relation between Lie symmetries and prolongation structures of nonlinear field equations. Non-local symmetries
cites work: Multiple-soliton solutions for the Boussinesq equation
cites work: Darboux transformations in integrable systems. Theory and their applications to geometry
cites work: Q4518496
cites work: The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
cites work: Integrability of the modified generalised Vakhnenko equation
cites work: A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
cites work: Reciprocal transformations for a spectral problem in \(2+1\) dimensions
cites work: \(N\)-soliton solutions of model equations for shallow water waves
cites work: Symmetry reductions and exact solutions of shallow water wave equations
cites work: Inverse scattering and the boussinesq equation
full work available at URL: s004057792102001x
OpenAlex ID: W3175409214
description: scientific article; zbMATH DE number 7364258