Article ID Journal Published Year Pages File Type
4631240 Applied Mathematics and Computation 2010 5 Pages PDF
Abstract

More general Euler–Painlevé equations are exactly linearized using generalized Cole–Hopf transform and are shown to admit exact solutions in terms of Kummer functions. The asymptotic behaviours of Euler–Painlevé equations are also derived.

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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
Exact and explicit solutions of Euler–Painlevé equations through generalized Cole–Hopf transformations
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