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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.