安徽大学学报（自然科学版）2017，Vol.41Issue(4)：45-50,6.DOI:10.3969/j.issn.1000-2162.2017.04.008
一类四阶非线性方程的不变子空间与精确解
Invariant subspaces and exact solutions of a family of fourth-order nonlinear equations
摘要
Abstract
A family of fourth-order equations were considered.Invariant subspaces allowed by the nonlinear differential operator in the equation were obtained by invariant subspaces method.More abundant exact solution of the equations were constructed by the gaining invariant subspaces.Some examples were given and exact solutions of these equations were constructed.关键词
不变子空间/条件Lie-B(a)cklund对称/精确解Key words
invariant subspaces/conditional-Lie B(a)cklund symmetry/exact solution分类
数理科学引用本文复制引用
张亚敏..一类四阶非线性方程的不变子空间与精确解[J].安徽大学学报（自然科学版）,2017,41(4):45-50,6.基金项目
国家自然科学基金资助项目(11071193) （11071193）
陕西省自然科学基础研究计划资助项目(2014JM1027) （2014JM1027）
陕西省教育厅科研计划资助项目(2013JK0572) （2013JK0572）
