Browsing by Author "Alimgeer, Khurram Saleem"

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Citation Count: Javeed, Shumaila...et al. (2019). "First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models", Symmetry-Basel, Vol. 11, No. 6.
First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models
(MDPI, 2019) Javeed, Shumaila; Riaz, Sidra; Alimgeer, Khurram Saleem; Atıf, M.; Hanif, Atıf; Baleanu, Dumitru; 56389
In 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.
Citation Count: El Achab, Abdelfattah...et al. (2021). "Ginzburg Landau equation's Innovative Solution (GLEIS)", Physica Scripta, Vol. 96, No. 3.
Ginzburg Landau equation's Innovative Solution (GLEIS)
(2021) El Achab, Abdelfattah; Rezazadeh, Hadi; Baleanu, Dumitru; Desta Leta, Temesgen; Javeed, Shumaila; Alimgeer, Khurram Saleem; 56389
A novel soliton solution of the famous 2D Ginzburg-Landau equation is obtained. A powerful Sine-Gordon expansion method is used for acquiring soliton solutions 2D Ginzburg-Landau equation. These solutions are obtained with the help of contemporary software (Maple) that allows computation of equations within the symbolic format. Some new solutions are depicted in the forms of figures. The Sine-Gordon method is applicable for solving various non-linear complex models such as, Quantum mechanics, plasma physics and biological science.
Citation Count: Javeed, Shumaila...et al. (2020). "Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique", Symmetry-Basel, Vol. 12, No. 1.
Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique
(2020) Javeed, Shumaila; Alimgeer, Khurram Saleem; Nawaz, Sidra; Waheed, Asif; Suleman, Muhammad; Baleanu, Dumitru; Atif, M.; 56389
This 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.