Share This Article:

Expanding the Tanh-Function Method for Solving Nonlinear Equations

Full-Text HTML Download Download as PDF (Size:1896KB) PP. 1096-1104
DOI: 10.4236/am.2011.29151    6,227 Downloads   12,111 Views Citations

ABSTRACT

In this paper, using the tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear PDEs. The proposed method is based on adding integration constants to the resulting nonlinear ODEs from the nonlinear PDEs using the wave transformation. Also, we use a transformation related to those integration constants. Some examples are considered to find their exact solutions such as KdV- Burgers class and Fisher, Boussinesq and Klein-Gordon equations. Moreover, we discuss the geometric interpretations of the resulting exact solutions.

Cite this paper

N. Abdel-All, M. Abdel-Razek and A. Seddeek, "Expanding the Tanh-Function Method for Solving Nonlinear Equations," Applied Mathematics, Vol. 2 No. 9, 2011, pp. 1096-1104. doi: 10.4236/am.2011.29151.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.