Classification and Reduction of  Generalized Thin Film Equations

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理论物理通讯 ›› 2009, Vol. 52 ›› Issue (03) : 403-410.

Classification and Reduction of Generalized Thin Film Equations

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Classification and Reduction of Generalized Thin Film Equations

ZHU Chun-Rong^1,2,3 and QU Chang-Zheng^1,3

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Abstract

Classification and reduction of the generalized fourth-order nonlinear differential equations arising from the liquid films are considered. It is shown that these equations have solutions on subspaces of the polynomial,
exponential or trigonometric form defined by linear nth-order ordinary differential equations with constant coefficients for n=4,...,9. Several examples of exact solutions are presented.

导出引用

ZHU Chun-Rong,, and QU Chang-Zheng,. Classification and Reduction of Generalized Thin Film Equations[J]. 理论物理通讯, 2009, 52(03): 403-410

ZHU Chun-Rong,, and QU Chang-Zheng,. Classification and Reduction of Generalized Thin Film Equations[J]. Communications in Theoretical Physics, 2009, 52(03): 403-410

中图分类号： 02.30.Jr 02.60.Cb 68.37.-d