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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2008 Chinese Physical Society and IOP Publishing Ltd
, , Citation Zhang Chun-Yi et al 2008 Chinese Phys. Lett. 25 878 DOI 10.1088/0256-307X/25/3/020

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zhang0405114@ase.buaa.edu.cn

Author affiliations

1 Key Laboratory of Fluid Mechanics (Ministry of Education) and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083

2 Meteorology Center of Air Force Command Post, Changchun 130051

3 School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 100876

4 State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100876

Dates

  1. Received 23 October 2007
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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 Painlevé test condition also possesses the formal conservation laws.

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