Browsing by Author "Atif, M."
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Article Citation - WoS: 18Citation - Scopus: 23First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models(Mdpi, 2019) Riaz, Sidra; Alimgeer, Khurram Saleem; Atif, M.; Hanif, Atif; Baleanu, Dumitru; Javeed, ShumailaIn this work, we establish the exact solutions of some mathematical physics models. The first integral method (FIM) is extended to find the explicit exact solutions of high-dimensional nonlinear partial differential equations (PDEs). The considered models are: the space-time modified regularized long wave (mRLW) equation, the (1+2) dimensional space-time potential Kadomtsev Petviashvili (pKP) equation and the (1+2) dimensional space-time coupled dispersive long wave (DLW) system. FIM is a powerful mathematical tool that can be used to obtain the exact solutions of many non-linear PDEs.Article Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique(MDPI AG, 2020) Javeed, Shumaila; Waheed, Asif; Suleman, Muhammad; Baleanu, Dumitru; Atif, M.; Alimgeer, Khurram Saleem; Nawaz, SidraArticle Citation - WoS: 24Citation - Scopus: 26Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique(Mdpi, 2020) Alimgeer, Khurram Saleem; Nawaz, Sidra; Waheed, Asif; Suleman, Muhammad; Baleanu, Dumitru; Atif, M.; Javeed, ShumailaThis paper is based on finding the exact solutions for Burger's equation, Zakharov-Kuznetsov (ZK) equation and Kortewegde vries (KdV) equation by utilizing exponential function method that depends on the series of exponential functions. The exponential function method utilizes the homogeneous balancing principle to find the solutions of nonlinear equations. This method is simple, wide-reaching and helpful for finding the exact solution of nonlinear conformable PDEs.
