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Browsing by Author "Ozsahin, Dilber Uzun"

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    Wave Propagation To the Doubly Dispersive Equation and the Improved Boussinesq Equation
    (Springer, 2024) Baleanu, Dumitru; Sulaiman, Tukur A.; Yusuf, Abdullahi; Ozsahin, Dilber Uzun; Baleanu, Dumitru
    In this paper, we examine the optical solitons for the nonlinear doubly dispersive equation and the modified Boussinesq equation, which explain the flow of shallow water in a small-amplitude surface system. We realize a variety of solitons using the Sardar sub-equation approach, including bright solitons, dark solitons, singular solitons, mixed bright-singular solitons, periodic, exponential, and rational solutions. The generated optical solutions can be used to simulate water waves and the free movement of a fluid surface, both of which are important in computing models of nonlinear partial differential equations in science, engineering, and mathematical physics. For the physical interpretation of the data, the well-known symbolic software Mathematica 12 was employed.