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
The Modified Simple Equation Method and the Exact Solutions for the sine-Gordon Equation and the Generalized Variable-Coefficient KdV-mKdV Equation
DOI: 10.12677/AAM.2016.53055, PDF, HTML, XML, 下载: 1,993  浏览: 7,109  国家自然科学基金支持
作者: 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
关键词: 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
摘要: 本文用修正的简单方程法对sine-Gordon方程和广义的变系数KdV-mKdV方程进行求解，并给出了它们的行波解，当给参数取特殊值时，便可以得到相应的精确行波解。
Abstract: 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.
文章引用：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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