| 直接法的推广与广义Burgers方程的条件对称约化 |
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| 引用本文： | 张全举,冯芙叶.直接法的推广与广义Burgers方程的条件对称约化[J].高校应用数学学报(英文版),2002,17(3):277-283. |
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| 作者姓名： | 张全举 冯芙叶 |
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| 作者单位： | [1]SchoolofSci.,Xi＇anUniv.ofArch.＆Tech.,Xi＇an710055,China [2]Dept.ofBasicCourses,Xi＇anCollegeofSci.＆Tech.,Xi＇an710054,China |
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| 基金项目： | the National Natural Science Foundation of China(1 990 1 0 2 7) |
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| 摘 要： | A generalization of the direct method of Clarkson and Kruskal for finding similarity reductions of partial differential equations with arbitrary functions is found and discussed for the generalized Burgers equation. The corresponding reductions and the exact solutions due to the methods of the ordinary differential equations are then given by the methods. The results given here answer partially an open problem proposed by Clarkson, that is how to develop the direct method to seek symmetry reductions of nonlinear PDEs with arbitrary functions.
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| 关 键 词： | 广义伯格斯体方程 条件对称 约化 直接法 精确解 |
| 收稿时间： | 10 January 2001 |
Extension to the direct methods and applications to the generalized burgers equation |
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| Quanju Zhang,Fuye Feng.Extension to the direct methods and applications to the generalized burgers equation[J].Applied Mathematics A Journal of Chinese Universities,2002,17(3):277-283. |
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| Authors: | Quanju Zhang Fuye Feng |
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| Institution: | (1) School of Sci., Xi’an Univ. of Arch. & Tech., 710055 Xi’an, China;(2) Dept. of Basic Courses, Xi’an College of Sci. & Tech., 710054 Xi’an, China |
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| Abstract: | A generalization of the direct method of Clarkson and Kruskal for finding similarity reductions of partial differential equations with arbitrary functions is found and discussed for the generalized Burgers equation. The corresponding reductions and the exact solutions due to the methods of the ordinary differential equations are then given by the methods. The results given here answer partially an open problem proposed by Clarkson, that is how to develop the direct method to seek symmetry reductions of nonlinear PDEs with arbitrary functions. |
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| Keywords: | direct method generalized Burgers equation exact solution |
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