1
Department of Physical Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria.
2
Department of Mathematics, Faculty of Science, Damanhour University, Bahira 22514, Egypt
10.1016/j.joems.2015.02.005
Abstract
In this work, the modified simple equation (MSE) method is applied to some class of nonlinear PDEs, namely, a system of nonlinear PDEs, a (2 + 1)-dimensional nonlinear model gener- ated by the Jaulent–Miodek hierarchy, and a generalized KdV equation with two power nonlinearities. As a result, exact traveling wave solutions involving parameters have been obtained for the considered nonlinear equations in a concise manner. When these parameters are chosen as special values, the solitary wave solutions are derived. It is shown that the proposed technique provides a more pow- erful mathematical tool for constructing exact solutions for a broad variety of nonlinear PDEs in mathematical physics.
Adebimpe, O., & El-Ganaini, S. (2016). Solutions of some class of nonlinear PDEs in mathematical physics. Journal of the Egyptian Mathematical Society, 24(2), 214-219. doi: 10.1016/j.joems.2015.02.005
MLA
O. Adebimpe; Shoukry El-Ganaini. "Solutions of some class of nonlinear PDEs in mathematical physics", Journal of the Egyptian Mathematical Society, 24, 2, 2016, 214-219. doi: 10.1016/j.joems.2015.02.005
HARVARD
Adebimpe, O., El-Ganaini, S. (2016). 'Solutions of some class of nonlinear PDEs in mathematical physics', Journal of the Egyptian Mathematical Society, 24(2), pp. 214-219. doi: 10.1016/j.joems.2015.02.005
VANCOUVER
Adebimpe, O., El-Ganaini, S. Solutions of some class of nonlinear PDEs in mathematical physics. Journal of the Egyptian Mathematical Society, 2016; 24(2): 214-219. doi: 10.1016/j.joems.2015.02.005
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