The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation
This article studies the phase portraits, chaotic patterns, and traveling wave solutions of the fractional order generalized Pochhammer–Chree equation. First, the fractional order generalized Pochhammer–Chree equation is transformed into an ordinary differential equation. Second, the dynamic behavio...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241619 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590765355696128 |
|---|---|
| author | Chunyan Liu |
| author_facet | Chunyan Liu |
| author_sort | Chunyan Liu |
| collection | DOAJ |
| description | This article studies the phase portraits, chaotic patterns, and traveling wave solutions of the fractional order generalized Pochhammer–Chree equation. First, the fractional order generalized Pochhammer–Chree equation is transformed into an ordinary differential equation. Second, the dynamic behavior is analyzed using the planar dynamical system, and some three-dimensional and two-dimensional phase portraits are drawn using Maple software to reflect its chaotic behaviors. Finally, many solutions were constructed using the polynomial complete discriminant system method, including rational, trigonometric, hyperbolic, Jacobian elliptic function, and implicit function solutions. Two-dimensional graphics, three-dimensional graphics, and contour plots of some solutions are drawn. |
| format | Article |
| id | doaj-art-a8a73529344041bfbf7322bfa316f4aa |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-a8a73529344041bfbf7322bfa316f4aa2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912339563397210.3934/math.20241619The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equationChunyan Liu0College of Computer Science, Chengdu University, Chengdu 610106, ChinaThis article studies the phase portraits, chaotic patterns, and traveling wave solutions of the fractional order generalized Pochhammer–Chree equation. First, the fractional order generalized Pochhammer–Chree equation is transformed into an ordinary differential equation. Second, the dynamic behavior is analyzed using the planar dynamical system, and some three-dimensional and two-dimensional phase portraits are drawn using Maple software to reflect its chaotic behaviors. Finally, many solutions were constructed using the polynomial complete discriminant system method, including rational, trigonometric, hyperbolic, Jacobian elliptic function, and implicit function solutions. Two-dimensional graphics, three-dimensional graphics, and contour plots of some solutions are drawn.https://www.aimspress.com/article/doi/10.3934/math.20241619traveling wave solutiondynamics analysisfractionalpochhammer–chree equation |
| spellingShingle | Chunyan Liu The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation AIMS Mathematics traveling wave solution dynamics analysis fractional pochhammer–chree equation |
| title | The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation |
| title_full | The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation |
| title_fullStr | The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation |
| title_full_unstemmed | The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation |
| title_short | The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation |
| title_sort | traveling wave solution and dynamics analysis of the fractional order generalized pochhammer chree equation |
| topic | traveling wave solution dynamics analysis fractional pochhammer–chree equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241619 |
| work_keys_str_mv | AT chunyanliu thetravelingwavesolutionanddynamicsanalysisofthefractionalordergeneralizedpochhammerchreeequation AT chunyanliu travelingwavesolutionanddynamicsanalysisofthefractionalordergeneralizedpochhammerchreeequation |