Symmetries and integrability of the cylindrical Korteweg–de Vries equation
- 1 January 1986
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (1) , 100-103
- https://doi.org/10.1063/1.527376
Abstract
The direct scheme to test integrability of a given nonlinear equation proposed by Chen, Lee, and Liu is tested on the cylindrical Korteweg–de Vries equation. The explicit dependence on t of this equation does not present any real difficulties. Constants of motion and symmetries are found readily and the Lax operators for the scattering problem constructed accordingly.Keywords
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