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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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.
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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]. Chin. Phys. Lett., 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[J]. Chin. Phys. Lett., 2008, 25(3): 878-880.
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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]. Chin. Phys. Lett., 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[J]. Chin. Phys. Lett., 2008, 25(3): 878-880.
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