Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity
In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended hyperbolic method, and Nucci’s reduction method. We sh...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723003145 |
| _version_ | 1797814378864574464 |
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| author | Mohammad Mirzazadeh A. Sharif Mir Sajjad Hashemi Ali Akgül Sayed M. El Din |
| author_facet | Mohammad Mirzazadeh A. Sharif Mir Sajjad Hashemi Ali Akgül Sayed M. El Din |
| author_sort | Mohammad Mirzazadeh |
| collection | DOAJ |
| description | In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended hyperbolic method, and Nucci’s reduction method. We show that these methods are effective in finding solitary wave solutions, periodic wave solutions, and rational solutions of the equation. Besides, a first integral of the considered equation is derived by the Nucci reduction technique. Our results demonstrate the applicability of these methods in finding exact solutions to nonlinear PDEs, especially in cases where other methods are not effective. |
| first_indexed | 2024-03-13T08:06:49Z |
| format | Article |
| id | doaj.art-f37f71e7ae734fdd858ddce07809e7b4 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T08:06:49Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-f37f71e7ae734fdd858ddce07809e7b42023-06-01T04:35:52ZengElsevierResults in Physics2211-37972023-06-0149106521Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearityMohammad Mirzazadeh0A. Sharif1Mir Sajjad Hashemi2Ali Akgül3Sayed M. El Din4Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, IranDepartment of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, IranDepartment of Computer Engineering, Biruni University, 34010 Istanbul, Turkey; Corresponding author.Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, TurkeyCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptIn this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended hyperbolic method, and Nucci’s reduction method. We show that these methods are effective in finding solitary wave solutions, periodic wave solutions, and rational solutions of the equation. Besides, a first integral of the considered equation is derived by the Nucci reduction technique. Our results demonstrate the applicability of these methods in finding exact solutions to nonlinear PDEs, especially in cases where other methods are not effective.http://www.sciencedirect.com/science/article/pii/S2211379723003145(3+1)-D conformable Schrödinger equationCubic–quintic nonlinearityG′/G expansion methodExtended hyperbolic methodNucci’s reduction method |
| spellingShingle | Mohammad Mirzazadeh A. Sharif Mir Sajjad Hashemi Ali Akgül Sayed M. El Din Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity Results in Physics (3+1)-D conformable Schrödinger equation Cubic–quintic nonlinearity G′/G expansion method Extended hyperbolic method Nucci’s reduction method |
| title | Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity |
| title_full | Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity |
| title_fullStr | Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity |
| title_full_unstemmed | Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity |
| title_short | Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity |
| title_sort | optical solitons with an extended 3 1 dimensional nonlinear conformable schrodinger equation including cubic quintic nonlinearity |
| topic | (3+1)-D conformable Schrödinger equation Cubic–quintic nonlinearity G′/G expansion method Extended hyperbolic method Nucci’s reduction method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723003145 |
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