Accurate sets of solitary solutions for the quadratic–cubic fractional nonlinear Schrödinger equation
Source abstract
Abstract
The analytical and semi-analytical solutions to the quadratic–cubic fractional nonlinear Schrödinger equation are discussed in this research article. The model’s fractional formula is transformed into an integer-order model by using a new fractional operator. The theoretical and computational approaches can now be applied to fractional models, thanks to this transition. The application of two separate computing schemes yields a large number of novel analytical strategies. The obtained solutions secure the original and boundary conditions, which are used to create semi-analytical solutions using the Adomian decomposition process, which is often used to verify the precision of the two computational methods. All the solutions obtained are used to describe the shifts in a physical structure over time in cases where the quantum effect is present, such as wave-particle duality. The precision of all analytical results is tested by re-entering them into the initial model using Mathematica software 12.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nonlinear Waves and Solitons · Nonlinear Photonic Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Management and Economics, Jiangsu University of Science and Technology 1 , 212003 Zhenjiang, China
Department of Basic Science, Higher Technological Institute 2 , 10th of Ramadan City, El Sharqia 44634, Egypt
Department of Mathematics, Faculty of Science, Jiangsu University 3 , 212013 Zhenjiang, China
Department of Mathematics, Obour High Institute for Engineering and Technology 4 , 11828 Cairo, Egypt
Department of Mathematics, Faculty of Science, Taif University 5 , P.O. Box 11099, Taif 21944, Saudi Arabia
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University 6 , Al-Kharj 11942, Saudi Arabia
Department of Basic Engineering Science, Faculty of Engineering, Menoua University 7 , Shebin El-Kom 32511, Egypt
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