Prolongation analysis of the cylindrical Korteweg-de Vries equation
- 15 August 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 26 (4) , 809-818
- https://doi.org/10.1103/physrevd.26.809
Abstract
The cylindrical Korteweg-de Vries equation is studied systematically within the prolongation scheme of Estabrook and Wahlquist. A non-Abelian Lie algebra associated to the equation is exploited, without using representations, to derive a set of Bäcklund transformations and a nonlinear superposition formula. These are used to provide some examples of explicit solutions.Keywords
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