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Scholars Journal of Physics, Mathematics and Statistics | Volume-6 | Issue-02
Abundant exact wave solutions to the standard KdV and the Burgers-Fisher equation
Azmol Huda, Nazmul Islam, Samsuzzoha, M. Ali Akbar
Published: Feb. 28, 2019 | 137 101
DOI: 10.21276/sjpms.2019.6.2.1
Pages: 16-25
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Abstract
In this paper, the ( ' ,1 ) G G G -expansion method is applied to carry out the integration of standard KdV and the Burgers-Fisher equations. The effectiveness of the ( ' ,1 ) G G G -expansion method is exposed. Choosing the particular values of different parameters, soliton and other periodic type traveling waves can be derived. The method appears to be easier, economical, efficient and powerful by means of symbolic computation system to finding more new form exact solutions for various kinds of nonlinear evolution equations. Keywords: The standard KdV equation, Burgers-Fisher equation, the ( ' ,1 ) G G G -expansion method, traveling wave solutions.