Infinite-dimensional prolongation structures for the Robinson-Trautman type III metric

DOI10.1016/S0034-4877(13)60036-1zbMath1386.37068OpenAlexW1977806534MaRDI QIDQ362124

E. O. Oghre, E. O. Ifidon

Publication date: 20 August 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0034487713600361

zbMATH Keywords

infinite-dimensional Lie algebraKac-Moody algebracontragradient algebraRobinson-Trautman equationWahlquist and Estabrook prolongation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Constructing multiple prolongation structures from homotopic maps
• Local jet bundle formulation of Bäcklund transformations. With applications to non-linear evolution equations
• Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's
• The Robinson-Trautman type III prolongation structure contains \(K_ 2\)
• The Bäcklund problem for the equation ∂2z/∂x1∂x2= f (z)
• Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

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