New approach of (G0 /G)-expansion method and new approach of generalized (G0 /G)-expansion method for ZKBBM equation | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 1, 2015, Page 42-48 PDF (461.07 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.03.005 | ||||
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Author | ||||
Hasibun Naher* | ||||
Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali, Dhaka 1212, Bangladesh | ||||
Abstract | ||||
By means of two extended (G0 /G)-expansion methods, new approach of (G0 /G)-expansion method and new approach of generalized (G0 /G)-expansion method, we have successfully performed for analytical solutions on the Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation. In methods, the nonlinear auxiliary equation is implemented for constructing a rich class of new travelling wave solutions. Moreover, obtained solutions reveal that, these methods are very effective and powerful to handle various nonlinear evolution equations which frequently arise in mathematical physics, engineering sciences and many scientific real time application fields. | ||||
Keywords | ||||
New (G0 /G)-expansion method; New generalized (G0 /G)-expansion method; Nonlinear auxiliary equation; ZKBBM equation; Travelling wave solutions | ||||
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