西北师范大学学报(自然科学版)2016,Vol.52Issue(6):18-21,37,5.DOI:10.16783/j.cnki.nwnuz.2016.06.004
高阶非线性薄膜方程的李对称分析
Lie symmetry analysis of a higher-order thin film equation
摘要
Abstract
In this paper,Lie symmetry analysis approach is developed to study a higher-order nonlinear thin film equation.Using the infinitesimal generators,the Lie algebras and its optimal systems of the higher-order thin film equation are derived. The equation is then reduced to the ordinary differential equations.As a result,some physical interest solutions are obtained and discussed.关键词
高阶非线性薄膜方程/李对称分析/不变解Key words
higher-order nonlinear thin film equation/Lie symmetry analysis/invariant solution分类
数理科学引用本文复制引用
屈改珠..高阶非线性薄膜方程的李对称分析[J].西北师范大学学报(自然科学版),2016,52(6):18-21,37,5.基金项目
国家自然科学基金资助项目(11371293,11501419) (11371293,11501419)
陕西省军民融合项目(15JMR20) (15JMR20)
渭南师范学院理工类科研项目(16ZRRC05) (16ZRRC05)
渭南师范学院校级特色学科建设项目(14TSXK02) (14TSXK02)