Existence of Formal Conservation Laws of a Variable-Coefficient Korteweg--de Vries Equation from Fluid Dynamics and Plasma Physics via Symbolic Computation
ZHANG Chun-Yi1,2, LI Juan3, MENG Xiang-Hua3, XU Tao3,GAO Yi-Tian 1,4
1Key Laboratory of Fluid Mechanics (Ministry of Education) and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 1000832Meteorology Center of Air Force Command Post, Changchun 1300513School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 1008764State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100876
Existence of Formal Conservation Laws of a Variable-Coefficient Korteweg--de Vries Equation from Fluid Dynamics and Plasma Physics via Symbolic Computation
1Key Laboratory of Fluid Mechanics (Ministry of Education) and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 1000832Meteorology Center of Air Force Command Post, Changchun 1300513School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 1008764State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100876
摘要Employing the method which can be used to demonstrate the infinite conservation laws for the standard Korteweg--de Vries (KdV) equation, we prove that the variable-coefficient KdV equation under the Painleve test condition also possesses the formal conservation laws.
Abstract：Employing the method which can be used to demonstrate the infinite conservation laws for the standard Korteweg--de Vries (KdV) equation, we prove that the variable-coefficient KdV equation under the Painleve test condition also possesses the formal conservation laws.
ZHANG Chun-Yi;LI Juan;MENG Xiang-Hua;XU Tao;GAO Yi-Tian;. Existence of Formal Conservation Laws of a Variable-Coefficient Korteweg--de Vries Equation from Fluid Dynamics and Plasma Physics via Symbolic Computation[J]. 中国物理快报, 2008, 25(3): 878-880.
ZHANG Chun-Yi, LI Juan, MENG Xiang-Hua, XU Tao, GAO Yi-Tian,. Existence of Formal Conservation Laws of a Variable-Coefficient Korteweg--de Vries Equation from Fluid Dynamics and Plasma Physics via Symbolic Computation. Chin. Phys. Lett., 2008, 25(3): 878-880.
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