New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials
In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation. In the present article, we propose a different method, namely, a new sub-equation metho...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-03-01
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| Series: | Journal of Ocean Engineering and Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013318301578 |
| _version_ | 1811327333464801280 |
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| author | Elsayed M.E. Zayed Abdul-Ghani Al-Nowehy Reham M.A. Shohib |
| author_facet | Elsayed M.E. Zayed Abdul-Ghani Al-Nowehy Reham M.A. Shohib |
| author_sort | Elsayed M.E. Zayed |
| collection | DOAJ |
| description | In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation. In the present article, we propose a different method, namely, a new sub-equation method consists of the Riccati equation mapping method and the (G′/G, 1/G)-expansion method to find new exact solutions of the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials. This proposed method is not found elsewhere. Hyperbolic, trigonometric and rational function solutions are given. New solutions of the generalized Riccati equation are presented for the first time which are not reported previously. The solutions of the given nonlinear equation can be applied in ocean engineering for calculating the height of tides in the ocean. Keywords: New sub-equation method, (G′/G, 1/G)-expansion method, Generalized Riccati equation mapping method, Perturbed nonlinear Schrödinger equation, Exact solutions |
| first_indexed | 2024-04-13T15:06:00Z |
| format | Article |
| id | doaj.art-cbedebb464de4072a2601a7e8a0973f5 |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-04-13T15:06:00Z |
| publishDate | 2019-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-cbedebb464de4072a2601a7e8a0973f52022-12-22T02:42:10ZengElsevierJournal of Ocean Engineering and Science2468-01332019-03-01411423New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materialsElsayed M.E. Zayed0Abdul-Ghani Al-Nowehy1Reham M.A. Shohib2Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptCorresponding author.; Department of Mathematics, Faculty of Education and Science, Taiz University, Taiz, YemenDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptIn a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation. In the present article, we propose a different method, namely, a new sub-equation method consists of the Riccati equation mapping method and the (G′/G, 1/G)-expansion method to find new exact solutions of the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials. This proposed method is not found elsewhere. Hyperbolic, trigonometric and rational function solutions are given. New solutions of the generalized Riccati equation are presented for the first time which are not reported previously. The solutions of the given nonlinear equation can be applied in ocean engineering for calculating the height of tides in the ocean. Keywords: New sub-equation method, (G′/G, 1/G)-expansion method, Generalized Riccati equation mapping method, Perturbed nonlinear Schrödinger equation, Exact solutionshttp://www.sciencedirect.com/science/article/pii/S2468013318301578 |
| spellingShingle | Elsayed M.E. Zayed Abdul-Ghani Al-Nowehy Reham M.A. Shohib New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials Journal of Ocean Engineering and Science |
| title | New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials |
| title_full | New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials |
| title_fullStr | New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials |
| title_full_unstemmed | New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials |
| title_short | New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials |
| title_sort | new sub equation method to construct solitons and other solutions for perturbed nonlinear schrodinger equation with kerr law nonlinearity in optical fiber materials |
| url | http://www.sciencedirect.com/science/article/pii/S2468013318301578 |
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