Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents

Kaliappan, P. ; Lakshmanan, M. (1979) Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents Journal of Physics A: Mathematical & General, 12 (10). L249-L252. ISSN 1751-8121

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Official URL: http://iopscience.iop.org/0305-4470/12/10/002

Related URL: http://dx.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.

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