Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (4): 562-571.

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Application of Exp-function Method to KdV-Burgers-Kuramoto Equation and Kuramoto-Sivashinsky Equation

  

  1. 1. Department of Modern Physics, University of Science and Technology of China 2. School for the Gifted Young, University of Science and Technology of China 3. The Research Center for Complex System Science, University of Shanghai for Science and Technology and Shanghai Academy of System Science

  • Received:2011-04-15 Online:2012-12-30 Published:2023-03-16
  • About author:CHEN Bo-kui(1985-), male, native of Tonghua, Jilin, Ph.D., engages in exact solutions of nonlinear evolution equations: LIU Yi-ke(1991-), female, native of Wuhan, Hubei, engages in nonlinear evolution equations; WANG Bing-hong(1944-), male, native of Shanghai, a professor of University of Science and Technology of China, engages in statistical physics, complexity science, nonlinear evolution equations.
  • Supported by:
    Supported by the National Natural Science Foundation of China(91024026,10975126); Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(200934021100 32)

Abstract: This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation. It is demonstrated that the Exp-function method provides a mathematical tool for solving the nonlinear evolution equation in mathematical physics.

Key words: Exp-function method, nonlinear evolution equation, KdV-Burgers-Kuramoto equation, Kuramoto-Sivashinsky equation
 

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