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A SYSTEM OF THE COUPLED KORTEWEG-DE VRIES EQUATIONS AND COMPUTERIZED SYMBOLIC COMPUTATION

Bo Tian and Yi-Tian Gao ()
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Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Yi-Tian Gao: Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 03, 361-366

Abstract: In physical and engineering sciences, the studies of the Korteweg-de Vries (KdV)-typed equations are of crucial significance. Performing computerized symbolic computation, we hereby obtain an auto-Bäcklund transformation for a system of the coupled KdV equations. Sample exact analytic solutions are also presented, which are the rational solutions and solitary waves.

Keywords: Computerized Symbolic Computation; Coupled KdV Equations; Bäcklund Transformation; Exact Analytic Solutions; Solitary Waves (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001778

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