Meng, G.-Q., Gao, Y.-T., Yu, X., Shen, Y.-J. and Qin, Y. (2012) Painlevé Analysis, Lax Pair, Bäcklund Transformation and Multi-Soliton Solutions for a Generalized Variable-Coefficient KdV-mKdV Equation in Fluids and Plasmas. Physica Scripta, 85, 055010.
http://dx.doi.org/10.1088/0031-8949/85/05/055010
被以下文章引用:
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标题:
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
作者:
肖玲风, 斯仁道尔吉
关键字:
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
期刊名称:
《Advances in Applied Mathematics》, Vol.5 No.3, 2016-08-30
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。
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.