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Browsing by Author "Riaz, Sidra"

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    Article
    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.
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    Article
    Citation Count: Chu, Yu-Ming...et al. (2020). "New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation", Advances in Mathematical Physics, Vol. 2020.
    New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
    (2020) Chu, Yu-Ming; Javeed, Shumaila; Baleanu, Dumitru; Riaz, Sidra; Rezazadeh, Hadi; 56389
    This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP) equation and its derived equations, namely, Fitzhugh Nagumo (FHN) equation and Newell-Whitehead (NW) equation. The considered models are significant in biology. The KPP equation describes genetic model for spread of dominant gene through population. The FHN equation is imperative in the study of intercellular trigger waves. Similarly, the NW equation is applied for chemical reactions, Faraday instability, and Rayleigh-Benard convection. The proposed technique FIM can be applied to find the exact solutions of PDEs. © 2020 Yu-Ming Chu et al.