On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation

DOI10.1016/j.geomphys.2021.104122zbMath1461.35014arXiv2008.10281OpenAlexW3121331305MaRDI QIDQ2662755

Petr Vojčák, I. S. Krasil'shchik

Publication date: 14 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10281

zbMATH Keywords

Lax pairsnonlocal symmetriesdifferential coveringsuniversal hierarchy equation4D Martínez Alonso-Shabat equation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Non-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation

Uses Software

• Jets

Cites Work

• Unnamed Item
• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries
• The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators
• Nonlocal symmetries of integrable linearly degenerate equations: a comparative study
• The symbolic computation of integrability structures for partial differential equations
• Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
• Hydrodynamic reductions and solutions of a universal hierarchy
• Integrable Systems in Four Dimensions Associated with Six-Folds in Gr(4, 6)
• Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type

This page was built for publication: On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation