Abundant explicit periodic wave solutions and their limit forms to space‐time fractional Drinfel'd–Sokolov–Wilson equation

Abstract

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.