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 59486 The Modied Simple Equation Method and its Applications in Mathematical Physics and Biology KhaterMostafa M.A. EGYPT, Mansoura University 27 04 2015 15 F4 69 86

In this paper, the modified simple equation method with the aid of Maple is used to obtain new exact traveling wave solutions of the system of shallow water wave equations, modified Benjamin-Bona-Mahony equation and nonlinear dynamics of microtubules-A new model. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified simple equation method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the wellknown results will be presented.

 the system of shallow water wave equations; modified benjamin-bona-mahony equation; nonlinear dynamics of microtubules; the modified simple equation m Full Text

In this paper, the modified simple equation method with the aid of Maple is used to obtain new exact traveling wave solutions of the system of shallow water wave equations, modified Benjamin-Bona-Mahony equation and nonlinear dynamics of microtubules-A new model. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified simple equation method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the wellknown results will be presented.