Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow
The coupled nonlinear Maccari systems are very important equations which have been developed vigorously in the fields of the nonlinear optics, deep water theory, plasma physics, nonlinear optics and so on. The main work of this paper is focus on the bifurcation analysis and single optical soliton so...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972200554X |
| _version_ | 1798001442048442368 |
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| author | Zhao Li Xinyu Xie Changjiang Jin |
| author_facet | Zhao Li Xinyu Xie Changjiang Jin |
| author_sort | Zhao Li |
| collection | DOAJ |
| description | The coupled nonlinear Maccari systems are very important equations which have been developed vigorously in the fields of the nonlinear optics, deep water theory, plasma physics, nonlinear optics and so on. The main work of this paper is focus on the bifurcation analysis and single optical soliton solutions of the coupled nonlinear Maccari systems describing the motion of solitary waves in the nonlinear optics. Firstly, the coupled nonlinear Maccari systems are reduced to the nonlinear ordinary differential equations by employing traveling wave transformation and linear transformation. Secondly, the phase portraits of coupled nonlinear Maccari systems are drawn. Moreover, the optical soliton solutions of the coupled nonlinear Maccari systems are obtained by using the planar dynamic system method and the polynomial complete discriminant system method, respectively. The Jacobian function solutions, the hyperbolic function solutions, the trigonometric function solutions and the rational function solutions are constructed. Finally, three-dimensional diagram and two-dimensional diagram of the coupled nonlinear Maccari systems are drawn. |
| first_indexed | 2024-04-11T11:36:18Z |
| format | Article |
| id | doaj.art-f77c86d6e1ee4bf5a46217e9c74bc5e3 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-11T11:36:18Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-f77c86d6e1ee4bf5a46217e9c74bc5e32022-12-22T04:25:57ZengElsevierResults in Physics2211-37972022-10-0141105932Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flowZhao Li0Xinyu Xie1Changjiang Jin2College of Computer Science, Chengdu University, Chengdu, 610106, PR China; V.C. & V.R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu, 610068, PR China; Corresponding author at: College of Computer Science, Chengdu University, Chengdu, 610106, PR China.College of Computer Science, Chengdu University, Chengdu, 610106, PR ChinaChengdu Aeronautic Polytechnic, Chengdu 610100, Sichuan PR ChinaThe coupled nonlinear Maccari systems are very important equations which have been developed vigorously in the fields of the nonlinear optics, deep water theory, plasma physics, nonlinear optics and so on. The main work of this paper is focus on the bifurcation analysis and single optical soliton solutions of the coupled nonlinear Maccari systems describing the motion of solitary waves in the nonlinear optics. Firstly, the coupled nonlinear Maccari systems are reduced to the nonlinear ordinary differential equations by employing traveling wave transformation and linear transformation. Secondly, the phase portraits of coupled nonlinear Maccari systems are drawn. Moreover, the optical soliton solutions of the coupled nonlinear Maccari systems are obtained by using the planar dynamic system method and the polynomial complete discriminant system method, respectively. The Jacobian function solutions, the hyperbolic function solutions, the trigonometric function solutions and the rational function solutions are constructed. Finally, three-dimensional diagram and two-dimensional diagram of the coupled nonlinear Maccari systems are drawn.http://www.sciencedirect.com/science/article/pii/S221137972200554XCoupled nonlinear Maccari systemsPhase portraitsOptical soliton solutionsPlanar dynamic system methodComplete discrimination system |
| spellingShingle | Zhao Li Xinyu Xie Changjiang Jin Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow Results in Physics Coupled nonlinear Maccari systems Phase portraits Optical soliton solutions Planar dynamic system method Complete discrimination system |
| title | Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow |
| title_full | Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow |
| title_fullStr | Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow |
| title_full_unstemmed | Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow |
| title_short | Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow |
| title_sort | phase portraits and optical soliton solutions of coupled nonlinear maccari systems describing the motion of solitary waves in fluid flow |
| topic | Coupled nonlinear Maccari systems Phase portraits Optical soliton solutions Planar dynamic system method Complete discrimination system |
| url | http://www.sciencedirect.com/science/article/pii/S221137972200554X |
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