The Robinson-Trautman Type III Prolongation Structure Contains K${}_2$

Abstract

The minimal prolongation structure for the Robinson-Trautman equations of Petrov type III is shown to always include the infinite-dimensional, contragredient algebra, K${}_2$, which is of infinite growth. Knowledge of faithful representations of this algebra would allow the determination of Bäcklund transformations to evolve new solutions.

20 pages, plain TeX, no figures, submitted to Commun. Math. Phys

References in corpus (1)

• Infinite-Dimensional Estabrook-Wahlquist Prolongations for the sine-Gordon Equation

Cited by in corpus (4)

• Stringy Robinson-Trautman Solutions
• The algebraic structure of geometric flows in two dimensions
• Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves
• Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system