Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)-expansion method |
| |
Authors: | smail Aslan |
| |
Affiliation: | aDepartment of Mathematics, Izmir Institute of Technology, 35430 Urla, İzmir, Turkey |
| |
Abstract: | In this paper, we demonstrate the effectiveness of the so-called (G′/G)-expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in the obtained wider set of solutions as special values, then some previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system. |
| |
Keywords: | (G′ /G)-expansion method Traveling wave solutions Modified Degasperis– Procesi equation Burgers– KdV equation Modified Benjamin– Bona– Mahony equation |
本文献已被 ScienceDirect 等数据库收录! |