| 广义Birkhoff方程的积分方法 |
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| 引用本文： | 李彦敏,梅凤翔.广义Birkhoff方程的积分方法[J].海洋学报,2010,32(9):5930-5933. |
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| 作者姓名： | 李彦敏 梅凤翔 |
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| 作者单位： | 商丘师范学院物理与信息工程系,商丘 476000;北京理工大学宇航学院力学系,北京 100081 |
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| 基金项目： | 国家自然科学基金(批准号:10772025,10932002,10972127)和河南省自然科学基金(批准号:082300410330,082300410370)资助的课题. |
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| 摘 要： | 场方法和最终乘子法是求解运动微分方程的基本方法. 本文将这两种方法应用于广义Birkhoff系统,求出了场方法的基本偏微分方程和该方程的完全积分; 根据Jacobi最终乘子定理求出了广义Birkhoff方程的解. 并举例说明结果的应用.
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| 关 键 词： | 广义Birkhoff系统 场方法 最终乘子法 积分 |
Integral methods for the generalized Birkhoff equations |
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| Li Yan-Min and Mei Feng-Xiang.Integral methods for the generalized Birkhoff equations[J].Acta Oceanologica Sinica (in Chinese),2010,32(9):5930-5933. |
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| Authors: | Li Yan-Min and Mei Feng-Xiang |
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| Institution: | Department of Physics and Information Engineering,Shangqiu Normal University,Shangqiu 476000,China;Department of Applied Mechanics,School of Aerospace,Beijing Institute of Technology,Beijing 100081,China |
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| Abstract: | The field method and the last multiplier method are general integral methods for solving the differential equations of motion. The two methods are applied to the generalized Birkhoff system,and the complete integrals of the basic partial differential equation are given. Furthermore,the solutions of the generalized Birkhoff equations are obtained by Jacobi last multiplier theorem. An example is given to illustrate the application of the results. |
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| Keywords: | generalized Birkhoff system field method last multiplier method integral |
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