Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs

DOI10.1134/S004057792102001XzbMath1467.35019OpenAlexW3175409214WikidataQ115248081 ScholiaQ115248081MaRDI QIDQ2036329

Xia-Zhi Hao

Publication date: 29 June 2021

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

Full work available at URL: https://doi.org/10.1134/s004057792102001x

zbMATH Keywords

Boussinesq equationSawada-Kotera equationnonlocal symmetryHirota-Satsuma equationmodified generalized Vakhnenko equation

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Nonlocal symmetry, exact solutions and conservation laws of the \((1+1)\)-dimensional Levi equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
• Multiple-soliton solutions for the Boussinesq equation
• Reciprocal transformations for a spectral problem in \(2+1\) dimensions
• Nonlocal symmetries. Heuristic approach
• A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
• The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
• Symmetry reductions and exact solutions of shallow water wave equations
• Darboux transformations in integrable systems. Theory and their applications to geometry
• On the Relation between Lie Symmetries and Prolongation Structures of Nonlinear Field Equations: Non-Local Symmetries
• N-Soliton Solutions of Model Equations for Shallow Water Waves
• NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY
• Integrability of the modified generalised Vakhnenko equation
• Symmetries and conservation laws of the generalized Krichever–Novikov equation
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• Nonlocal symmetries and the Kaup–Kupershmidt equation
• Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations
• The two-dimensional second-order differential spectral problem: compatibility conditions, general BTs and integrable equations
• Nonlocal symmetries and a Darboux transformation for the Camassa–Holm equation
• Inverse scattering and the boussinesq equation
• New nonlocal symmetries with pseudopotentials
• Third order spectral problems: reductions and Darboux transformations
• Non-local symmetries via Darboux transformations
• Pseudopotentials and symmetries of evolution equations

This page was built for publication: Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs