Cylindrical Korteweg de Vries equation and Painleve property
- 11 September 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (13) , L447-L450
- https://doi.org/10.1088/0305-4470/16/13/001
Abstract
The authors demonstrate that the Lax representation for the cylindrical Korteweg de Vries equation can be obtained with the help of the Painleve property of this equation.Keywords
This publication has 5 references indexed in Scilit:
- The Painlevé property for partial differential equationsJournal of Mathematical Physics, 1983
- Reduction of KdV and Cylindrical KdV Equations to Painlevé EquationJournal of the Physics Society Japan, 1982
- Bäcklund Transformation of the Cylindrical KdV EquationJournal of the Physics Society Japan, 1980
- Conservation laws for a nonlinear evolution equation that includes as a special case the cylindrical KdV equationLettere al Nuovo Cimento (1971-1985), 1978
- Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equationLettere al Nuovo Cimento (1971-1985), 1978