用改进的直接法求解非线性Possion方程  

Solving Nonlinear Possion Equation by a Modified Direct Method

作　　者：谢元喜 XIE Yuanxi(School of Physics and Electric,Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南理工学院物理与电子科学学院,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2021年第4期1-4,94,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：通过引入一个一般的辅助常微分方程,提出一种改进的直接法,并用该方法成功求得非线性Possion方程的许多显式精确解.By introducing a general auxiliary ODE,an improved direct method was presented to solve the nonlinear Possion equation.Therefore,many explicit and exact solutions comprising some novel ones were successfully derived for the nonlinear Possion equation by this technique.

关 键 词：直接法 非线性Possion方程 显式精确解 

分 类 号：O175.29[理学—数学] O411.1[理学—基础数学]