ON THE NONINTEGRABLE HIROTA–SATSUMA SYSTEM OF COUPLED KdV EQUATIONS IN FLUID DYNAMICS

Yi-Tian Gao (), Bo Tian and Guang-Mei Wei
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Yi-Tian Gao: Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Guang-Mei Wei: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 10, 1425-1430

Abstract: The coupled Korteweg-de Vries (KdV) equations are important in many fields, such as nonlinear optics, fluid dynamics, supersymmetry and so on. In this paper, we modify the recently proposed variable-coefficient balancing-act algorithm, and thus obtain some exact analytic solutions for the nonintegrable Hirota–Satsuma system of coupled KdV equations, which in fluid dynamics describe interactions of two long waves with different dispersion relations.

Keywords: Hirota–Satsuma system of coupled Korteweg-de Vries equations; computerized symbolic computation; variable-coefficient balancing-act method; algorithm; exact analytic solutions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002772

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