Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents
- 1 October 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (10) , L249-L252
- https://doi.org/10.1088/0305-4470/12/10/002
Abstract
The Kadomstev-Petiviashvile and sine-Gordon equations in two spatial dimensions are shown to be reducible to Painleve transcendental equations of the first and third kind respectively in terms of suitable Lie-invariant variables.Keywords
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