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On A Variable-Coefficient Modified Kp Equation And A Generalized Variable-Coefficient Kp Equation With Computerized Symbolic Computation

Author

Listed:
  • YI-TIAN GAO

    (Department of Applied Physics and 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)

Abstract

The variable-coefficient nonlinear evolution equations, although realistically modeling various mechanical and physical situations, often cause some well-known powerful methods not to work efficiently. In this paper, we extend the power of the generalized hyperbolic-function method, which is based on the computerized symbolic computation, to a variable-coefficient modified Kadomtsev–Petviashvili (KP) equation and a generalized variable-coefficient KP equation. New exact analytic solutions thus come out.

Suggested Citation

  • Yi-Tian Gao & Bo Tian, 2001. "On A Variable-Coefficient Modified Kp Equation And A Generalized Variable-Coefficient Kp Equation With Computerized Symbolic Computation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(06), pages 819-833.
  • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:06:n:s0129183101002024
    DOI: 10.1142/S0129183101002024
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