Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (1): 82-86.

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Travelling Wave Solutions to the m-KdV-Sine-Gordon Equation and the m-KdV-Sinh-Gordon Equation

  

  1. School of Mathematics and Statistics, Henan University of Science and Technology

  • Received:2011-05-30 Online:2013-03-30 Published:2023-03-08
  • About author:LI Er-qiang(1979-), male, native of Xinle, Hebei, a lecturer of Henan University of Science and Technology, M.S.D., engages in solitons and integrable system; CHEN Jin-lan(1966-), female, native of Nanyang, Henan, a professor of Henan University of Science and Technology, M.S.D., engages in control theory and optimization.
  • Supported by:
    Supported by the National Science Foundation of Education Department of Henan Province(2011B110013)

Abstract: By using the function transformation and proper Sub-ODE, exact travelling wave solutions of the m-KdV-Sine-Gordon and the m-KdV-Sinh-Gordon equation are obtained, from which exact travelling wave solutions of the m-KdV equation, the Sine-Gordon equation and the Sinh-Gordon equation are derived.

Key words: function transformation, m-KdV-Sine-Gordon equation, m-KdV-Sinh-Gordon equation, Sub-ODE, travelling wave solutions

CLC Number: