期刊
NONLINEAR DYNAMICS
卷 95, 期 1, 页码 361-368出版社
SPRINGER
DOI: 10.1007/s11071-018-4568-4
关键词
Kudryashov method; Fractional partial differential equations; Burgers
资金
- deanship of scientific research of Majmaah University [68/38]
The nonlinear space-time fractional differential equations (FDE) of Burgers' type play an important role for describing many phenomena in applied sciences. This paper develops a generalized version of the modified Kudryashov method to obtain the exact solutions for FDE of Burgers' type. The FDE are firstly reduced to a set of ordinary differential equations by means of a fractional complex transformation and, afterward, they are solved by applying the generalized Kudryashov method (GKM). Several kinds of traveling wave solutions such as kink and singular kink waves are illustrated with various figures and discussed. The results demonstrate the efficiency of the GKM in tackling space-time partial FDE.
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