global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 59555 Extended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System KhaterMostafa M. A. EGYPT, Mansoura University 24 08 2015 15 F7 13 21

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(󲐀'(_))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(󲐀'(_))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.

 the generalized hirota-satsuma coupled KdV system the extended exp(󲐀'(_))- expansion method traveling wave solutions solitary wave solutions ki the extended exp(󲐀'(_))- expansion method Full Text

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(󲐀'(_))-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(󲐀'(_))-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.