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Auxiliary Equation Method And Its Applications To Nonlinear Evolution Equations

Author

Listed:
  • SIRENDAOREJI

    (Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, Inner Mongolia, China)

  • SUN JIONG

    (Department of Mathematics, Inner Mongolia University, Huhhot 010021, Inner Mongolia, China)

Abstract

By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.

Suggested Citation

  • Sirendaoreji & Sun Jiong, 2003. "Auxiliary Equation Method And Its Applications To Nonlinear Evolution Equations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(08), pages 1075-1085.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:08:n:s0129183103005200
    DOI: 10.1142/S0129183103005200
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    Cited by:

    1. Oke Davies Adeyemo & Lijun Zhang & Chaudry Masood Khalique, 2022. "Bifurcation Theory, Lie Group-Invariant Solutions of Subalgebras and Conservation Laws of a Generalized (2+1)-Dimensional BK Equation Type II in Plasma Physics and Fluid Mechanics," Mathematics, MDPI, vol. 10(14), pages 1-46, July.

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