Simple equation method for nonlinear partial differential equations and its applications | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 2, 2016, Pages 204-209 PDF (359 K) | ||
| DOI: 10.1016/j.joems.2015.05.006 | ||
| Authors | ||
| Temitope O. Benson1; Taher A. Nofal2, 3 | ||
| 1Institute for omputational and Data Sciences, University at Bufalo, State University of New York, Albany, USA. | ||
| 2Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, Saudi Arabia | ||
| 3Mathematics Department, Faculty of Science, Minia University, Minia, Egypt | ||
| Abstract | ||
| In this article, we focus on the exact solution of the some nonlinear partial differential equations (NLPDEs) such as, Kodomtsev–Petviashvili (KP) equation, the (2 + 1)-dimensional break- ing soliton equation and the modified generalized Vakhnenko equation by using the simple equation method. In the simple equation method the trial condition is the Bernoulli equation or the Riccati equation. It has been shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems | ||
| Keywords | ||
| Simple equation method; Exact solutions; Kodomtsev–Petviashvili equation; Bernoulli equation; Riccati equation | ||
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