﻿ 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

# 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

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.

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