| 四阶Burgers方程的非线性边值－初值问题的精确解 |
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| 引用本文： | 王亮涛,王明亮.四阶Burgers方程的非线性边值－初值问题的精确解[J].烟台大学学报(自然科学与工程版),1994(1). |
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| 作者姓名： | 王亮涛 王明亮 |
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| 作者单位： | 烟台大学，兰州大学 |
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| 摘 要： | 证明了四阶Ｂｕｒｇｅｒｓ方程与相应的四阶线性方程的等价性，给出了四阶Ｂｕｒｇｅｒｓ方程的初值问题以及在四分之一平面上的具有非线性边界条件的边值－初值问题的精确解。
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| 关 键 词： | 四阶Burgers方程，非线性边值－初值问题，精确解 |
Exact Solutions to Nonlinear Boundary-initial Value Problem for Fourth Order Burgers EquationYTDX401 |
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| Wang Liangtao,Wang Mingliang.Exact Solutions to Nonlinear Boundary-initial Value Problem for Fourth Order Burgers EquationYTDX401[J].Journal of Yantai University(Natural Science and Engineering edirion),1994(1). |
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| Authors: | Wang Liangtao Wang Mingliang |
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| Institution: | Wang Liangtao;Wang Mingliang(Yantai Univercity)(Lanzhou University) |
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| Abstract: | The equivalence between fourth otder Burgers equation and corresponding foruth order linearequation is proved. The exact solutions to the initial value problem in the half plane and nonlinearboundary-initial value problem in the quarter plane for the equation are given. |
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| Keywords: | Fourth order Burgers equation Nonlinear boundary-initial value problem Exact solution |
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