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Remarks on the two-dimensional sine-Gordon equation and the Painlevé tests

✍ Scribed by Peter A. Clarkson

Publisher: Springer
Year: 1985
Tongue: English
Weight: 140 KB
Volume: 10
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420570

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✦ Synopsis

It is shown that the two-dimensional sine-Gordon equation does not satisfy the necessary conditions of the Painlev6 conjecture to be solvable by inverse scattering since it is reducible to an ordinary differential equation which has a movable logarithmic branch point and so is not of Painlev6 type.

Recently, Steeb etal. [1][2][3] have claimed that the two-dimensional sine-Gordon equation

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