科研之友
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摘要
There is a close relationship between the Painlevé integrability and other integrability of nonlinear evolution equation. By using the Weiss-Tabor-Carnevale(WTC)method and the symbolic computation of Maple, the Painlevé test is used for the higher order generalized non-autonomous equation and the third order Korteweg-de Vries equation with variable coefficients. Finally the Painlevé integrability condition of this equation is gotten.
