Classification and Reduction of Generalized Thin Film Equations

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 different...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 52; no. 9; pp. 403 - 410
Main Author ZHU Chun-Rong QU Chang-Zheng
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2009
Subjects
四阶非线性微分方程
多项式
子空间
常微分方程
常系数
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Summary: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.
Bibliography:O175.14
O484.1
thin film equation, classification, invariant subspaces, exact solutions
11-2592/O3
ISSN:0253-6102
DOI:10.1088/0253-6102/52/3/05