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- W642433238 abstract "摘要 利用文献中所引入的变换，将一个非线性偏微分方程化为一个非线性常微分方程，再直接求解该常微分方程，从而简洁地求得了Burgers方程的几个精确解析解.所得结果与已有结果完全符合. 关键词: 非线性偏微分方程 / 非线性常微分方程 / 解析解 Abstract By using a transformation we introduced formerly, a nonlinear partial differential equation can be reduced to a nonlinear ordinary differential equation, and then solve it directly. And the exact analytical solutions to the Burgers equation can be easily derived. The results obtained in this paper is in good agreement with those given in the literature. Keywords: nonlinear partial differential equation / nonlinear ordinary differential equation / analytical solution 作者及机构信息 谢元喜, 唐驾时 1. 湖南大学工程力学系,长沙410082 基金项目: 国家自然科学基金(批准号：10472029)资助的课题. Authors and contacts Xie Yuan-Xi, Tang Jia-Shi 1. 湖南大学工程力学系,长沙410082 参考文献 施引文献" @default.
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- W642433238 date "2005-01-01" @default.
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- W642433238 title "A note on paper “a simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations”" @default.
- W642433238 doi "https://doi.org/10.7498/aps.54.1036" @default.
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