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Painlevé analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation

✍ Scribed by T. Alagesan; A. Uthayakumar; K. Porsezian

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
217 KB
Volume
8
Category
Article
ISSN
0960-0779

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✦ Synopsis

PainlevC (P-) analysis of a new integrable nonautonomous K-dV equation is performed and it is shown that the equation does possess the P-property. The bilinear tranformation is obtained straightforwardly from the Painlevk analysis.

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## Communicated by J. Banasiak We analyze a class of third-order evolution equations, i.e. u t = f(x, u x , u xx ) u xxx +g(x, u x , u xx ) via the method of preliminary group classification. This method is a systematic means of analyzing the equation for symmetries. We find explicit forms of f an