Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation
The application of fractional partial differential equations in the area of nonlinear optics has greatly facilitated the development of optical fiber communication. The primary objective of this article is to analyze the dynamic behavior of generalized nonlinear fractional Tzitzéica-type equation an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723006083 |
| _version_ | 1827815801351045120 |
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| author | Kun Zhang Zhao Li |
| author_facet | Kun Zhang Zhao Li |
| author_sort | Kun Zhang |
| collection | DOAJ |
| description | The application of fractional partial differential equations in the area of nonlinear optics has greatly facilitated the development of optical fiber communication. The primary objective of this article is to analyze the dynamic behavior of generalized nonlinear fractional Tzitzéica-type equation and obtain its optical soliton solutions. Using the planar dynamic system, phase portraits of the system are studied from a qualitative perspective, and then the polynomial complete discrimination method is utilized to obtain various optical soliton solutions of the equation. Furthermore, the relevant characteristics are examined through digital simulation and image analysis. |
| first_indexed | 2024-03-12T00:05:50Z |
| format | Article |
| id | doaj.art-0dbf4f644dbf415a85f5925465639101 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T00:05:50Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-0dbf4f644dbf415a85f59254656391012023-09-17T04:56:19ZengElsevierResults in Physics2211-37972023-09-0152106815Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equationKun Zhang0Zhao Li1Corresponding author.; College of Computer Science, Chengdu University, Chengdu, 610106, PR ChinaCollege of Computer Science, Chengdu University, Chengdu, 610106, PR ChinaThe application of fractional partial differential equations in the area of nonlinear optics has greatly facilitated the development of optical fiber communication. The primary objective of this article is to analyze the dynamic behavior of generalized nonlinear fractional Tzitzéica-type equation and obtain its optical soliton solutions. Using the planar dynamic system, phase portraits of the system are studied from a qualitative perspective, and then the polynomial complete discrimination method is utilized to obtain various optical soliton solutions of the equation. Furthermore, the relevant characteristics are examined through digital simulation and image analysis.http://www.sciencedirect.com/science/article/pii/S2211379723006083Fractional derivativePlanar dynamic systemBifurcationOptical soliton solution |
| spellingShingle | Kun Zhang Zhao Li Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation Results in Physics Fractional derivative Planar dynamic system Bifurcation Optical soliton solution |
| title | Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation |
| title_full | Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation |
| title_fullStr | Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation |
| title_full_unstemmed | Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation |
| title_short | Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation |
| title_sort | optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional tzitzeica type equation |
| topic | Fractional derivative Planar dynamic system Bifurcation Optical soliton solution |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723006083 |
| work_keys_str_mv | AT kunzhang opticalsolitonsolutionsanddynamicbehavioranalysisofgeneralizednonlinearfractionaltzitzeicatypeequation AT zhaoli opticalsolitonsolutionsanddynamicbehavioranalysisofgeneralizednonlinearfractionaltzitzeicatypeequation |