Prolongation structures of nonlinear equations and infinite-dimensional algebras
- 1 December 1986
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (12) , 2853-2860
- https://doi.org/10.1063/1.527261
Abstract
Prolongation structures of the sine–Gordon equation, the Ernst equation, and the chiral model are systematically discussed. It is shown that the prolongation structures generate the Kac–Moody algebra for the sine–Gordon equation and another type of infinite-dimensional algebra for the Ernst equation. This algebra includes the Kac–Moody algebra and the Virasoro algebra as its subalgebra.Keywords
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