Exact solutions of Kolmogorov-Petrovskii-Piskunov equation using the modified simple equation method |
| |
| Authors: | E M E Zayed S A Hoda Ibrahim |
| |
| Institution: | 1. Mathematics Department, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
|
| |
| Abstract: | The modified simple equation method is employed to find the exact solutions of the nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation. When certain parameters of the equations are chosen to be special values, the solitary wave solutions are derived from the exact solutions. It is shown that the modified simple equation method provides an effective and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. |
| |
| Keywords: | modified simple equation method Kolmogorov-Petrovskii-Piskunov equation exact solutions solitary wave solutions |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
