AAM  >> Vol. 5 No. 3 (August 2016)

    The Modified Simple Equation Method and the Exact Solutions for the sine-Gordon Equation and the Generalized Variable-Coefficient KdV-mKdV Equation

  • 全文下载: PDF(518KB) HTML   XML   PP.443-449   DOI: 10.12677/AAM.2016.53055  
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肖玲风,斯仁道尔吉:内蒙古师范大学数学科学学院,内蒙古 呼和浩特

修正的简单方程法sine-Gordon方程变系数KdV-mKdV方程精确解The Modified Simple Equation Method sine-Gordon Equation Variable-Coefficient KdV-mKdV Equation Exact Solutions


The modified simple equation method is used to construct the exact solutions for the sine-Gordon equation and the generalized variable-coefficient KdV-mKdV equation. Some exact solutions of the hyperbolic function form for the sine-Gordon equation and the generalized variable-coefficient KdV-mKdV equation are derived by the method. When taking special values of the parameters, the exact traveling wave solutions of the equations are derived from the exact solutions.

肖玲风, 斯仁道尔吉. 修正的简单方程法与sine-Godon方程和广义的变系数KdV-mKdV方程的精确解[J]. 应用数学进展, 2016, 5(3): 443-449. http://dx.doi.org/10.12677/AAM.2016.53055


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