Painleve Analysis,Soliton Solutions and Baicklund Transformation for Extended (2+ 1)-Dimensional Konopelchenko-Dubrovsky Equations in Fluid Mechanics via Symbolic Computation |
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作者姓名: | 许鹏博 高以天 于鑫 王雷 林国栎 |
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作者单位: | [1]Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China [2]State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China |
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基金项目: | Supported by the National Natural Science Foundation No. SKLSDE-2011KF-03 and Supported project under Grant of China under Grant No. 60772023, by the Open Fund under Grant No. SKLSDE-2010ZX-07 of the State Key Laboratory of Software Devel- opment Environment, Beijing University of Aeronautics and Astronautics, by the National High Technology Research and Development Program of China (863 Program) under Grant No. 2009AA043303, and by the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 200800130006, Chinese Ministry of Education.Acknowledgments The authors are very grateful to all the members of our discussion group, especially Prof. B. Tian for their valuable comments and suggestions. |
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摘 要: |
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关 键 词: | Painlevé分析 流体力学方程 符号计算 孤子解 Backlund变换 转化 双线性方程 双线性形式 |
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