In this paper, we exploit the generalized bifurcation method to study space–time fractional Drinfel'd–Sokolov–Wilson equation and derive its various new exact explicit periodic wave solutions. Especially and interestingly, we find the so‐called M/W‐shaped periodic wave solutions, which were not found in previous studies. Furthermore, we uncover their inside limit relations as well as their limit relations with other solutions under corresponding parameters conditions. The previous results are extended.

中文翻译：

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时空分数Drinfel'd–Sokolov–Wilson方程的大量显式周期波解及其极限形式

在本文中，我们利用广义分叉方法研究时空分数Drinfel'd-Sokolov-Wilson方程，并推导其各种新的精确显式周期波解。尤其有趣的是，我们发现了所谓的M / W形周期波解，这在以前的研究中没有发现。此外，我们揭示了它们的内部极限关系以及它们在相应参数条件下与其他解决方案的极限关系。先前的结果得到了扩展。