In this research, The exact traveling wave solutions of the generalized Hirota-Satsuma couple KdV system is obtained as the first time in the framework of the extended exp(ó²€'(_))-expansion method. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the extended exp(ó²€'(_))-expansion method give a wide range of solutions and it provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

How to Cite
M. A. KHATER, Mostafa. Extended exp(-φ(ζ)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System. Global Journal of Science Frontier Research, [S.l.], sep. 2015. ISSN 2249-4626. Available at: <https://journalofscience.org/index.php/GJSFR/article/view/1646>. Date accessed: 25 jan. 2022.