Painleve property and pseudopotentials for nonlinear evolution equations
- 7 August 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (15), 2897-2913
- https://doi.org/10.1088/0305-4470/22/15/009
Abstract
The link between the singularity manifold equation and the pseudopotential equations is found for nonlinear evolution equations both in 1+1 and 2+1 dimensions. Many examples are given: Burgers, Korteweg-de Vries, modified Korteweg-de Vries, Harry Dym, a higher-order Korteweg-de Vries, Sawada-Kotera, Kaup-Kuperschmidt, Kadomtsev-Petviashvili, Boussinesq, modified Kadomtsev-Petviashvili, and (2+1)-dimensional Sawada-Kotera equations.Keywords
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