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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yi-Tian Gao & Bo Tian & Guang-Mei Wei, 2001. "ON THE NONINTEGRABLE HIROTA–SATSUMA SYSTEM OF COUPLED KdV EQUATIONS IN FLUID DYNAMICS," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1425-1430.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:10:n:s0129183101002772
    DOI: 10.1142/S0129183101002772
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