摘要
运用不变子空间的方法,研究四阶非线性算子,借助Maple软件推出允许六维不变子空间的四阶非线性算子,在该不变空间中可以构造带有该算子的微分方程的精确解,从而丰富这类算子的研究。
By invariant subspaces method, the fourth-order nonlinear differential operators are studied. The fourth-order nonlinear differential operators possessing six-dimensional invariant subspaces were obtained by u- sing Maple software. In the invariant space, exact solution of the equation with the operator was constructed. Thus the study to these operators is enriched.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2017年第2期174-178,共5页
Journal of Northwest University（Natural Science Edition）
基金
国家自然科学基金资助项目(11071193)
陕西省自然科学基础研究计划资助项目(2014JM1027)
宝鸡文理学院基金资助项目(YK1619)
关键词
不变子空间
非线性微分算子
精确解
invariant subspaces
nonlinear differential operators
exact solution
