Lie and non-Lie symmetry and some exact solutions of the self-dual equations

DOI10.1016/S0034-4877(99)80165-7zbMath0955.58033OpenAlexW2041905966MaRDI QIDQ1573827

Valerii Stognii

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80165-7

zbMATH Keywords

exact solutionsLie symmetrynon-Lie symmetryself-dual equations

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

The Investigation into New Equations in (2 + 1) Dimensions ⋮ The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions

Cites Work

• Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions
• Symmetry Reduction and Exact Solutions of the Yang-Mills Equations
• On New Representations of Galilei Groups
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