Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers
The main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics. This model is usually used to describe the propagation of femtosecond pulses in optical fibers. By using traveling wave transformation, the coupled Sa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722006350 |
| _version_ | 1811209285503287296 |
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| author | Zhao Li Wenjie Fan Fang Miao Changjiang Jin |
| author_facet | Zhao Li Wenjie Fan Fang Miao Changjiang Jin |
| author_sort | Zhao Li |
| collection | DOAJ |
| description | The main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics. This model is usually used to describe the propagation of femtosecond pulses in optical fibers. By using traveling wave transformation, the coupled Sasa–Satsuma model is simplified into the coupled nonlinear ordinary differential equations. After that, the coupled nonlinear ordinary differential equations are transformed into two-dimensional planar dynamic system with the Hamiltonian system. According to the bifurcation theory of planar dynamical system, the phase portrait of two-dimensional dynamical system is drawn. What is more, some very important optical soliton solutions are also constructed. In order to explain the propagation of optical solitons, three-dimensional diagrams, two-dimensional diagrams and the contour plots of the obtained solutions are drawn by using Maple software. |
| first_indexed | 2024-04-12T04:36:58Z |
| format | Article |
| id | doaj.art-7b453a0e728b4a2db52fd86c9239e7c5 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T04:36:58Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-7b453a0e728b4a2db52fd86c9239e7c52022-12-22T03:47:47ZengElsevierResults in Physics2211-37972022-12-0143106021Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibersZhao Li0Wenjie Fan1Fang Miao2Changjiang Jin3College of Computer Science, Chengdu University, Chengdu, 610106, PR China; Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, China 610106, PR ChinaCollege of Computer Science, Chengdu University, Chengdu, 610106, PR China; Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, China 610106, PR ChinaCollege of Computer Science, Chengdu University, Chengdu, 610106, PR China; Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, China 610106, PR China; Corresponding author.Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, China 610106, PR China; Chengdu Aeronautic Polytechnic, Chengdu 610100, PR ChinaThe main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics. This model is usually used to describe the propagation of femtosecond pulses in optical fibers. By using traveling wave transformation, the coupled Sasa–Satsuma model is simplified into the coupled nonlinear ordinary differential equations. After that, the coupled nonlinear ordinary differential equations are transformed into two-dimensional planar dynamic system with the Hamiltonian system. According to the bifurcation theory of planar dynamical system, the phase portrait of two-dimensional dynamical system is drawn. What is more, some very important optical soliton solutions are also constructed. In order to explain the propagation of optical solitons, three-dimensional diagrams, two-dimensional diagrams and the contour plots of the obtained solutions are drawn by using Maple software.http://www.sciencedirect.com/science/article/pii/S2211379722006350Coupled Sasa–Satsuma equationPhase portraitOptical soliton solutionPlanar dynamic system method |
| spellingShingle | Zhao Li Wenjie Fan Fang Miao Changjiang Jin Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers Results in Physics Coupled Sasa–Satsuma equation Phase portrait Optical soliton solution Planar dynamic system method |
| title | Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers |
| title_full | Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers |
| title_fullStr | Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers |
| title_full_unstemmed | Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers |
| title_short | Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers |
| title_sort | phase portraits and optical soliton solutions of coupled sasa satsuma model in birefringent fibers |
| topic | Coupled Sasa–Satsuma equation Phase portrait Optical soliton solution Planar dynamic system method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722006350 |
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