Open AccessNew approach of (G′/G)-expansion method and new approach of generalized (G′/G)-expansion method for ZKBBM equation
Author(s) -
Hasibun Naher
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.03.005
Subject(s) - mathematics , nonlinear system , traveling wave , class (philosophy) , calculus (dental) , mathematical analysis , computer science , physics , artificial intelligence , medicine , dentistry , quantum mechanics
By means of two extended (G′/G)-expansion methods, new approach of (G′/G)-expansion method and new approach of generalized (G′/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