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Variable-Coefficient Balancing-Act Algorithm Extended To A Variable-Coefficient Mkp Model For The Rotating Fluids

Author

Listed:
  • YI-TIAN GAO

    (Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

  • BO TIAN

    (Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

Abstract

The modified Kadomtsev–Petviashvili (MKP) models describe the large-scale motion of such rotating fluids as the atmosphere and oceans. Based on the computerized symbolic computation, we in this paper extend the power of the variable-coefficient balancing-act method, which is recently proposed, to a variable-coefficient MKP model. The model is re-written as a coupled set of partial differential equations, and the algorithm is re-written correspondingly. We obtain a new family of the soliton-like, exact analytic solutions, beyond the traveling waves.

Suggested Citation

  • Yi-Tian Gao & Bo Tian, 2001. "Variable-Coefficient Balancing-Act Algorithm Extended To A Variable-Coefficient Mkp Model For The Rotating Fluids," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(09), pages 1383-1389.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:09:n:s0129183101002681
    DOI: 10.1142/S0129183101002681
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    Cited by:

    1. Koike, Yukito & Nakamula, Atsushi & Nishie, Akihiro & Obuse, Kiori & Sawado, Nobuyuki & Suda, Yamato & Toda, Kouichi, 2022. "Mock-integrability and stable solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

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