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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