Adebimpe, O., El-Ganaini, S. (2016). Solutions of some class of nonlinear PDEs in mathematical physics. test, 24(2), 214-219. doi: 10.1016/j.joems.2015.02.005
O. Adebimpe; Shoukry El-Ganaini. "Solutions of some class of nonlinear PDEs in mathematical physics". test, 24, 2, 2016, 214-219. doi: 10.1016/j.joems.2015.02.005
Adebimpe, O., El-Ganaini, S. (2016). 'Solutions of some class of nonlinear PDEs in mathematical physics', test, 24(2), pp. 214-219. doi: 10.1016/j.joems.2015.02.005
Adebimpe, O., El-Ganaini, S. Solutions of some class of nonlinear PDEs in mathematical physics. test, 2016; 24(2): 214-219. doi: 10.1016/j.joems.2015.02.005

Solutions of some class of nonlinear PDEs in mathematical physics

Journal of the Egyptian Mathematical Society
Volume 24, Issue 2, 2016, Pages 214-219    PDF (399.45 K)
DOI: 10.1016/j.joems.2015.02.005
Authors
O. Adebimpe1; Shoukry El-Ganaini2
1Department of Physical Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria.
2Department of Mathematics, Faculty of Science, Damanhour University, Bahira 22514, Egypt
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.
Keywords
Modified simple equation method; Traveling wave solution; Nonlinear partial differen- tial equation
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