| 吴文俊消元法及其在非线性偏微分方程求解中的应用 |
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| 引用本文： | 李志斌.吴文俊消元法及其在非线性偏微分方程求解中的应用[J].甘肃科学学报,1994,6(4):23-29. |
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| 作者姓名： | 李志斌 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 本文简要介绍近年新发展的一种求解非线性代数方程组的理论方法——吴文俊消元法及其在非线性偏微分方程准确解研究中的应用范例。吴方法已在定理机器证明以及数理科学、系统科学、计算机科学等领域的前沿课题和高新技术的研究中获得了成功的应用，它有着广阔的应用潜力和发展前景。
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| 关 键 词： | 准确解 非线性 偏微分方程 吴文俊消元法 |
WU ELIMINATION AND ITS APPLICATIONS IN SEARCH FOR CXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATION |
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| Li Zhibin.WU ELIMINATION AND ITS APPLICATIONS IN SEARCH FOR CXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATION[J].Journal of Gansu Sciences,1994,6(4):23-29. |
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| Authors: | Li Zhibin |
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| Abstract: | A method for solving nonlinear algebraio equations-Wu Elimition,has been developed by Prof.Wu Wenjun in recent years,and its applications in nonlinear partial differential equation are described briefly;The method can be an unified effective procedure in search for travelling wave solutions of nonlinear evolution equations. It has great potentialities,and it has been applied successfully to the theorem mechanical proving and the modelling of problems in methe-matics,physics,computer science,and so on. |
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| Keywords: | Wu Elimination nonlinear evolution equations exact solutions |
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