Article ID Journal Published Year Pages File Type
4629108 Applied Mathematics and Computation 2013 6 Pages PDF
Abstract

•The dissipative Kuramoto–Sivashinsky equation is studied.•It is shown that this equation does not pass the Painleve test.•Quasi-exact solutions of the dissipative Kuramoto–Sivashinsky equation is given.

The dissipative Kuramoto–Sivashinsky equation is studied. It is shown that this equation does not pass the Painlevé test and as consequence this equation is not integrable. Quasi-exact solution of the dissipative Kuramoto–Sivashinsky equation is given.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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