Title of article :
Exact Solutions for the Modified KdV and theGeneralized KdV Equations via Exp-FunctionMethod
Author/Authors :
Manafian Heris, Jalil Islamic Azad University-Ahar Branch - Department of Mathematics, ايران , Bagheri, Majid Azad University-Ahar Branch - Department of Mathematics, ايران
Abstract :
An application of the Exp-function method (EFM) tosearch for exact solutions of nonlinear partial diferential equations isanalyzed. This method is used for the modi¯ed KdV equation andthe generalized KdV equation. The EFM was used to construct peri-odic wave and solitary wave solutions of nonlinear evolution equations(NLEEs). This method is developed for searching exact travelling wavesolutions of nonlinear partial diferential equations. It is shown that theExp-function method, with the help of symbolic computation, providesa straightforward and powerful mathematical tool for solving nonlinearevolution equations in mathematical physics and applied mathematics.
Keywords :
Exp , function method , modified KdV equa , tion , generalized KdV equation , periodic wave and solitary wave solutions , nonlinear partial di®erential equations (NLPDEs).
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)
