Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations
Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations
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DOI：
10.1016/j.joems.2016.01.007
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发表时间：
2016-10
影响因子：
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通讯作者：
Fi̇gen Kangalgi̇l
中科院分区：
文献类型：
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作者：
Fi̇gen Kangalgi̇l
本文提出了利用Maple或Mathematica等计算机系统构造Schamel-Korteweg-de弗里斯（s-KdV）方程和Schamel方程行波解的推广（G′/G）-展开法。得到了这些方程的双曲函数解和带自由参数的三角函数解。该方法简单、有效，已被应用于求解应用数学、工程和数学物理中的非线性发展方程。
In this paper, the extended (G′/G)-expansion method has been suggested for constructing travelling wave solutions of the Schamel–Korteweg–de Vries (s-KdV) and the Schamel equations with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the trigonometric function solutions with free parameters of these equations have been obtained. Moreover, it has been shown that the suggested method is elementary, effective and has been used to solve nonlinear evolution equations in applied mathematics, engineering and mathematical physics.