Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483499 | Journal of the Egyptian Mathematical Society | 2016 | 6 Pages |
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 generated 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 powerful mathematical tool for constructing exact solutions for a broad variety of nonlinear PDEs in mathematical physics.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Shoukry El-Ganaini,