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    Extraction of soliton for the confirmable time-fractional nonlinear Sobolev-type equations in semiconductor by ϕ6-modal expansion method by Tahir Shahzad, Muhammad Ozair Ahmad, Muhammad Zafarullah Baber, Nauman Ahmed, Syed Mansoor Ali, Ali Akgül, Muhammad Ali Shar, Sayed M. Eldin

    Published 2023-03-01
    “…The graphical behavior of the underlying models is represented in the form of 3D, line graphs and their corresponding contours for the various values of the parameters.…”
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  3. 3

    Novel waves structures for the nonclassical Sobolev-type equation in unipolar semiconductor with its stability analysis by Tahir Shahzad, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Nauman Ahmed, Ali Akgül, Sayed M. El Din

    Published 2023-12-01
    “…So, the choice of unique physical problems from various solutions is also carried out. The 3D, line graphs and corresponding contours are drawn with the help of the Mathematica software that explains the physical behavior of the state variable. …”
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