Analytical treatment on the nonlinear Schrödinger equation with the parabolic law

Analytical treatment on the nonlinear Schrödinger equation with the parabolic law

The objective of this study is to investigate a few solutions to the nonlinear Schrödinger problem with parabolic law. The first integral and exact solutions for the reduced ODE of the model under consideration are extracted using Nucci’s reduction approach. Finally, using the efficient and effectiv...

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Veröffentlicht in:Results in physics 2023-06, Vol.49, p.106544, Article 106544
Hauptverfasser: Han, Xiang-Lin, Hashemi, Mir Sajjad, Samei, Mohammad Esmael, Akgül, Ali, El Din, Sayed M.
Format: Artikel
Sprache:eng
Schlagworte:
First integral
Parabolic law
Reduction method
Schrödinger problem
Soliton solution
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Beschreibung
Zusammenfassung:The objective of this study is to investigate a few solutions to the nonlinear Schrödinger problem with parabolic law. The first integral and exact solutions for the reduced ODE of the model under consideration are extracted using Nucci’s reduction approach. Finally, using the efficient and effective solutions technique, we display density plots and 2D, 3D plots for the suggested governing model.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2023.106544