Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift
In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity propagation and transit of laser light pulses in optical fibres were described...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722004259 |
| _version_ | 1828747062288580608 |
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| author | Farwa Salman Nauman Raza Ghada Ali Basendwah Mohammed M.M. Jaradat |
| author_facet | Farwa Salman Nauman Raza Ghada Ali Basendwah Mohammed M.M. Jaradat |
| author_sort | Farwa Salman |
| collection | DOAJ |
| description | In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity propagation and transit of laser light pulses in optical fibres were described using this form of equation. To extract new results, two strong methodologies has been used. To extract the exact solution unified method has been employed. The solutions obtained by this analytical method, are in form of polynomial and rational function solution. Moreover, the validity of non-singular solutions has guaranteed by a limitation condition that is graphically illustrated in 3D. The 2D graphical representation are also used to demonstrate the influence of parameters on the predicted non-singular solutions. The other technique, used for qualitative analysis, is bifurcation. The system has been transformed into a planer dynamical system, which has been transformed into a hamiltonian system. All the possible phase portrait has been plotted by complete discrimination method. The acquired results are novel and have not been recorded before and they indicate that the proposed methodologies may be used to investigate innovative soliton solutions and phase portraits for any NLSE. |
| first_indexed | 2024-04-14T04:37:02Z |
| format | Article |
| id | doaj.art-5edf0257478840d2a2c7b35bffab7356 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-14T04:37:02Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-5edf0257478840d2a2c7b35bffab73562022-12-22T02:11:50ZengElsevierResults in Physics2211-37972022-08-0139105753Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shiftFarwa Salman0Nauman Raza1Ghada Ali Basendwah2Mohammed M.M. Jaradat3Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanDepartment of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanDepartment of Mathematics, King Abdulaziz University, Jeddah, Saudi ArabiaMathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar; Corresponding author.In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity propagation and transit of laser light pulses in optical fibres were described using this form of equation. To extract new results, two strong methodologies has been used. To extract the exact solution unified method has been employed. The solutions obtained by this analytical method, are in form of polynomial and rational function solution. Moreover, the validity of non-singular solutions has guaranteed by a limitation condition that is graphically illustrated in 3D. The 2D graphical representation are also used to demonstrate the influence of parameters on the predicted non-singular solutions. The other technique, used for qualitative analysis, is bifurcation. The system has been transformed into a planer dynamical system, which has been transformed into a hamiltonian system. All the possible phase portrait has been plotted by complete discrimination method. The acquired results are novel and have not been recorded before and they indicate that the proposed methodologies may be used to investigate innovative soliton solutions and phase portraits for any NLSE.http://www.sciencedirect.com/science/article/pii/S2211379722004259Cubic quintic NLSEOptical solitonsPolynomial and rational form solutionsBifurcation |
| spellingShingle | Farwa Salman Nauman Raza Ghada Ali Basendwah Mohammed M.M. Jaradat Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift Results in Physics Cubic quintic NLSE Optical solitons Polynomial and rational form solutions Bifurcation |
| title | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_full | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_fullStr | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_full_unstemmed | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_short | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_sort | optical solitons and qualitative analysis of nonlinear schrodinger equation in the presence of self steepening and self frequency shift |
| topic | Cubic quintic NLSE Optical solitons Polynomial and rational form solutions Bifurcation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722004259 |
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