Reduction of a multidimensional Poincaré-invariant nonlinear equation to two-dimensional equations

DOI10.1007/BF01061805zbMath0786.35108MaRDI QIDQ1181619

Leonid F. Barannyk, W. I. Fushchich, Anatoliy F. Barannyk

Publication date: 27 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

symmetry reductioninvariants of the extended isochronous Galilei algebra

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Invariance and symmetry properties for PDEs on manifolds (58J70) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) PDEs in connection with relativity and gravitational theory (35Q75)

Cites Work

• Maximal subalgebras of rank n-1 of the algebra AP(1,n) and reduction of nonlinear wave equations. I
• Maximal subalgebras of rank n-1 of the algebra AP(1,n) and the reduction of nonlinear wave equations. II
• Continuous subgroups of a generalized Euclidean group
• Symmetry and exact solutions of multidimensional nonlinear wave equations
• The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
• Symmetry reduction for nonlinear relativistically invariant equations
• Continuous subgroups of the generalized Schrödinger groups
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