Analytical approach to study weakly nonlocal fractional Schrödinger equation via novel transform

Our main goal is to examined weakly nonlocal Schrödinger equation incorporating nonlinearity of the parabolic law and external potential using the Shehu transform decomposition method. The proposed method contributes the exact and analytical solutions for the bright soliton, dark soliton, and expone...

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Bibliographic Details
Published in:International journal of dynamics and control 2024, Vol.12 (1), p.271-282
Main Authors: Yadav, Lokesh Kumar, Agarwal, Garima, Gour, Murli Manohar, Kumari, Manjeet
Format: Article
Language:English
Subjects:
Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Exact solutions
Schrodinger equation
Solitary waves
Vibration
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Summary:Our main goal is to examined weakly nonlocal Schrödinger equation incorporating nonlinearity of the parabolic law and external potential using the Shehu transform decomposition method. The proposed method contributes the exact and analytical solutions for the bright soliton, dark soliton, and exponential solutions. The simulated outcomes reveal that only a few number of terms are required to achieve accurate and trustworthy approximations. Additionally, the physical behaviour of STDM solutions have been illustrated in plots for various fractional orders, and the numerical outcomes are also exhibited.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-023-01246-x