Browsing by Author "Shen Y."

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Forecasting the dynamics of the model of cold bosonic atoms in a zig-zag optical lattice by symbolic computation
(2023-01-01) Yue X.G.; Shen Y.; Kaplan M.; Kaabar M.K.A.; Yang H.
The work aims to explore the exponential rational function technique and the generalized Kudryashov procedure to investigate one of the most important equations which is the equation of cold bosonic atoms in a zig-zag optical lattice. The considered equation is reduced to a supreme equation by using the continuum approximation which describes the soliton's dynamics with the implication pulse variables. The adopted techniques are accurate, simple, straightforward, and succinct to compute.
Novel exact solutions of the conformable resonant Schrödinger equation via two novel procedures with symbolic computational algorithms
(2023-01-01) Yue X.G.; Kaplan M.; Kaabar M.K.A.; Shen Y.
This study investigates novel exact solutions to the conformable resonant Schrödinger equation. For this purpose, two reliable techniques are employed involving the generalized Kudryashov and exponential rational function procedures. The 3D graphics of some obtained solutions are also given. The investigated equation is very important to the field of ocean engineering and science because many wave phenomena including water waves and rogue waves can be explained with the help of the nonlinear Schrödinger equation.