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Deformed Korteweg-De Vries Equation With Symbolic Computation

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 Korteweg-de Vries-typed equations are the most important class of nonlinear evolution equations, with numerous applications in physical and engineering sciences. In this paper, for the deformed Korteweg-de Vries equation of the form$w_t =w_{xxx} +6w^2 w_x +D_x \{((3/2) \epsilon^2 ww_x^2) /(1 -\epsilon^2 w^2)\}$, we make use of computerized symbolic computation and obtain several families of new exact analytic solutions, some of which are solitonic.

Suggested Citation

  • Yi-Tian Gao & Bo Tian, 2001. "Deformed Korteweg-De Vries Equation With Symbolic Computation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(09), pages 1335-1344.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:09:n:s012918310100270x
    DOI: 10.1142/S012918310100270X
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