The exact traveling wave solution of the fractional Sharma-Tasso-Olever equation can be obtained by using the function expansion method, but the general traveling wave solution cannot be obtained. After transforming it into the Sharma-Tasso-Olever equation of the integer order by the fractional complex transformation, the general solution of its traveling wave is obtained by a specific function transformation. Through parameter setting, the solution of the kinked solitary wave is found from the general solution of the traveling wave, and it is found that when the two fractional derivatives become smaller synchronically, the waveform becomes more smooth, but the position is basically unchanged. The reason for this phenomenon is that the kink solitary wave reaches equilibrium in the counterclockwise and clockwise rotation, and the stretching phenomenon is accompanied in the process of reaching equilibrium. This is a further development of our previous work, and this kind of detailed causative analysis is rare in previous papers.

中文翻译：

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非线性协调分数阶Sharma-Tasso-Olever方程的一般行波解，并讨论分数导数的影响

分数次夏尔马-塔索-奥勒弗方程的精确行波解可以通过使用函数展开法获得，但无法获得一般行波解。通过分数阶复数变换将其转换为整数阶的Sharma-Tasso-Olever方程，然后通过特定的函数变换获得其行波的一般解。通过参数设置，可以从行波的一般解中找到扭折孤立波的解，发现当两个分数导数同步变小时，波形变得更加平滑，但位置基本不变。产生这种现象的原因是，扭结孤立波在逆时针和顺时针旋转中达到平衡，拉伸现象伴随着达到平衡的过程。这是我们先前工作的进一步发展，而这种详细的因果分析在以前的论文中很少见。