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Existence of Formal Conservation Laws of a Variable-Coefficient Korteweg--de Vries Equation from Fluid Dynamics and Plasma Physics via Symbolic Computation |
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| Authors: | ZHANG Chun-Yi LI Juan MENG Xiang-Hua XU Tao GAO Yi-Tian |
| Affiliation: | Key Laboratory of Fluid Mechanics (Ministry of Education) and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083Meteorology Center of Air Force Command Post, Changchun 130051School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 100876State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100876 |
| 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 testcondition also possesses the formal conservation laws. |
| Keywords: | 05.45.Yv 47.35.Fg 02.30.Ik 02.70.Wz |
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