Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma
This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free plasma, which exhibits magnet-acoustic waves and...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2023-03-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8394 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849398253333774336 |
|---|---|
| author | Krishna Ghode Kalyanrao Takale Shrikisan Gaikwad |
| author_facet | Krishna Ghode Kalyanrao Takale Shrikisan Gaikwad |
| author_sort | Krishna Ghode |
| collection | DOAJ |
| description |
This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free plasma, which exhibits magnet-acoustic waves and shock wave formation respectively. The decomposition method is used to solve the proposed equations. Also, the convergence and uniqueness of the obtained solution are discussed. To illuminate the effectiveness of the presented method, the solutions of these equations are obtained and compared with the exact solution. Furthermore, solutions are obtained for different values of time-fractional order and represented graphically.
|
| format | Article |
| id | doaj-art-b21f3ebb67c147f4b2134f88bcf5c748 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-b21f3ebb67c147f4b2134f88bcf5c7482025-08-20T03:38:39ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862023-03-01201(SI)10.21123/bsj.2023.8394Traveling Wave Solutions of Fractional Differential Equations Arising in Warm PlasmaKrishna Ghode0Kalyanrao Takale1Shrikisan Gaikwad2B. K. Birla College of Arts, Science and Commerce, Kalyan, Thane-421301, (M.S.), India.RNC Arts, JDB Commerce and NSC Science College, Nashik-422101, (M.S.), India.New Arts, Commerce and Science College, Ahmednagar-424001, (M.S.), India. This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free plasma, which exhibits magnet-acoustic waves and shock wave formation respectively. The decomposition method is used to solve the proposed equations. Also, the convergence and uniqueness of the obtained solution are discussed. To illuminate the effectiveness of the presented method, the solutions of these equations are obtained and compared with the exact solution. Furthermore, solutions are obtained for different values of time-fractional order and represented graphically. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8394Caputo fractional derivative, Fractional Adomian decomposition method, Fractional Kawahara equation, Fractional Korteweg–De Vries equation, Riemann–Liouville fractional integral |
| spellingShingle | Krishna Ghode Kalyanrao Takale Shrikisan Gaikwad Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma مجلة بغداد للعلوم Caputo fractional derivative, Fractional Adomian decomposition method, Fractional Kawahara equation, Fractional Korteweg–De Vries equation, Riemann–Liouville fractional integral |
| title | Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma |
| title_full | Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma |
| title_fullStr | Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma |
| title_full_unstemmed | Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma |
| title_short | Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma |
| title_sort | traveling wave solutions of fractional differential equations arising in warm plasma |
| topic | Caputo fractional derivative, Fractional Adomian decomposition method, Fractional Kawahara equation, Fractional Korteweg–De Vries equation, Riemann–Liouville fractional integral |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8394 |
| work_keys_str_mv | AT krishnaghode travelingwavesolutionsoffractionaldifferentialequationsarisinginwarmplasma AT kalyanraotakale travelingwavesolutionsoffractionaldifferentialequationsarisinginwarmplasma AT shrikisangaikwad travelingwavesolutionsoffractionaldifferentialequationsarisinginwarmplasma |