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the novel (G′/G)-expansion method together with the generalized Riccati equation. The solutions obtained

in this manuscript may be imperative and significant for the explanation of some practical physical phenomena.

The performance of this method is reliable, useful, and gives us more new exact solutions than

the existing methods such as the basic (G′/G)-expansion method, the extended (G′/G)-expansion method,

the improved (G′/G)-expansion method, the generalized and improved (G′/G)-expansion method etc. The

obtained traveling wave solutions including solitons and periodic solutions are presented through the hyperbolic,

the trigonometric and the rational functions. The method turns out to be a powerful mathematical tool

and a step foward towards, albeit easily and yet efficiently, solving nonlinear evolution equations.

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received

11 - 7 - 2015

accepted

18 - 10 - 2015

online

7 - 12 - 2015

References

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bwmeta1.element.-psjd-doi-10_1515_wwfaa-2015-0006

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