Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Latif, Mohamed S. Abdel"

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Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative

Kader, Abass H. Abdel; Latif, Mohamed S. Abdel; Baleanu, Dumitru (2022-02)

In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order α is introduced. Using similarity transformation, ...
Some new exact solutions for a generalized variable coeffi- cients KdV equation

Rajagopalan, R.; Kader, Abass H. Abdel; Latif, Mohamed S. Abdel; Baleanu, Dumitru; El Sonbaty, Amr (2023)

In this paper, the variable coefficients KdV equation with general power nonlinearities is proposed. Firstly, it is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, ...
The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives

Latif, Mohamed S. Abdel; Kader, Abass H. Abdel; Baleanu, Dumitru (2020-03-16)

In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the ...

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