A new truncation in Painleve analysis

Published under licence by IOP Publishing Ltd
, , Citation A Pickering 1993 J. Phys. A: Math. Gen. 26 4395 DOI 10.1088/0305-4470/26/17/044

0305-4470/26/17/4395

Abstract

The author observes that when the expansion variable in Painleve analysis satisfies a system of Riccati equations, truncation at a level higher than constant level is allowed. This extends the range of exact solutions to nonlinear partial differential equations that one is able to obtain using truncated Painleve expansions.

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10.1088/0305-4470/26/17/044