Open AccessExplicit Exact Solutions of Space-time Fractional Drinfel’d-Sokolov-Wilson Equations
Author(s) -
Hongkua Lin
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2068/1/012005
Subject(s) - conformable matrix , fractional calculus , mathematics , nonlinear system , space (punctuation) , transformation (genetics) , mathematical analysis , partial differential equation , exact solutions in general relativity , rational function , type (biology) , physics , computer science , biochemistry , chemistry , quantum mechanics , gene , operating system , ecology , biology
The space-time fractional Drinfel’d-Sokolov-Wilson equations (DSWEs) has attracted many researchers’ attention in recent years. In this study, combining the (G’/G,1/G)-expansion method and a fractional wave transformation, we derive abundant explicit exact solutions of the DSWEs with the conformable fractional derivative. All of the resulting solutions include triangle, hyperbolic and rational function type. It shows this technique is effective and reliable to find exact solutions of other similar nonlinear fractional partial differential equations (NFPDEs).