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Variable-Coefficient Forced Burgers System In Nonlinear Fluid Mechanics And Its Possibly Observable Effects

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  • YI-TIAN GAO

    (School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

  • XIAO-GE XU

    (Beijing Information Technology Institute, Beijing 100101, China;
    School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

  • BO TIAN

    (School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

Abstract

The forced Burgers equation works as a testing ground for a real turbulence, and as the qualitative model for a wide variety of problems including charge density waves, vortex lines in superconductors, disordered solids and epitaxial growth, etc. Its variable-coefficient generalizations call for better modeling of the physical situations. In this paper, we investigate a variable-coefficient generalization of the forced Burgers equation, and obtain several sets of exact soliton-like and other exact analytic solutions, via the extension of a generalized hyperbolic-function method with computerized symbolic computation. We also discuss the Wu method. We find some possibly observable effects, which might be discovered with the relevant experiments.

Suggested Citation

  • Yi-Tian Gao & Xiao-Ge Xu & Bo Tian, 2003. "Variable-Coefficient Forced Burgers System In Nonlinear Fluid Mechanics And Its Possibly Observable Effects," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1207-1222.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:09:n:s0129183103005340
    DOI: 10.1142/S0129183103005340
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