Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model
This investigation offers an innovative analytical strategy, namely the Riccati modified extended simple equation method (RMESEM), to establish and analyze soliton results of the (2+1)-dimensional dynamical generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation (GZK-BBME) in plasma physics. Th...
Saved in:
| Main Authors: | , |
|---|---|
| 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.20241661 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590729094889472 |
|---|---|
| author | Naher Mohammed A. Alsafri Hamad Zogan |
| author_facet | Naher Mohammed A. Alsafri Hamad Zogan |
| author_sort | Naher Mohammed A. Alsafri |
| collection | DOAJ |
| description | This investigation offers an innovative analytical strategy, namely the Riccati modified extended simple equation method (RMESEM), to establish and analyze soliton results of the (2+1)-dimensional dynamical generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation (GZK-BBME) in plasma physics. This equation models the physical phenomena of long waves with small and finite amplitude in magnetic plasma. Using a wave transformation, the employed transformative technique first converts GZK-BBME to a nonlinear ordinary differential equation (NODE). With the incorporation of the Riccati equation, a close-form solution is then assumed for the resultant NODE by RMESEM, which converts the NODE into a set of algebraic equations. The fresh plethora of soliton results in the form of rational, exponential, rational-hyperbolic and periodic functional cases are obtained by addressing this set of equations. Several contour, 3D, and 2D graphs are also employed to visualizes the dynamics of these constructed soliton results. These graphs demonstrate that the acquired solitons adopts the type of diverse kink solitons, including cuspon, dark, bright, lump-type, and dark-bright kinks. In addition, our proposed RMESEM shows the applications of the model by producing different traveling soliton results, providing qualitative information on the GZK-BBMEs and possible applications in dealing with other similar kinds of non-linear models. |
| format | Article |
| id | doaj-art-23281401da2a4bcaa1ab048a650df1e5 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-23281401da2a4bcaa1ab048a650df1e52025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912348863490510.3934/math.20241661Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical modelNaher Mohammed A. Alsafri0Hamad Zogan1Department of Mathematics, Faculty of Science, University of Jeddah, Saudi ArabiaDepartment of Computer Science, College of Engineering and Computer Science, Jazan University, Jazan, Kingdom of Saudi ArabiaThis investigation offers an innovative analytical strategy, namely the Riccati modified extended simple equation method (RMESEM), to establish and analyze soliton results of the (2+1)-dimensional dynamical generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation (GZK-BBME) in plasma physics. This equation models the physical phenomena of long waves with small and finite amplitude in magnetic plasma. Using a wave transformation, the employed transformative technique first converts GZK-BBME to a nonlinear ordinary differential equation (NODE). With the incorporation of the Riccati equation, a close-form solution is then assumed for the resultant NODE by RMESEM, which converts the NODE into a set of algebraic equations. The fresh plethora of soliton results in the form of rational, exponential, rational-hyperbolic and periodic functional cases are obtained by addressing this set of equations. Several contour, 3D, and 2D graphs are also employed to visualizes the dynamics of these constructed soliton results. These graphs demonstrate that the acquired solitons adopts the type of diverse kink solitons, including cuspon, dark, bright, lump-type, and dark-bright kinks. In addition, our proposed RMESEM shows the applications of the model by producing different traveling soliton results, providing qualitative information on the GZK-BBMEs and possible applications in dealing with other similar kinds of non-linear models.https://www.aimspress.com/article/doi/10.3934/math.20241661riccati modified extended simple equation methoddynamical systemsgeneralized zakharov-kuznetsov-benjamin-bona-mahony equationriccati equationkink solitons |
| spellingShingle | Naher Mohammed A. Alsafri Hamad Zogan Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model AIMS Mathematics riccati modified extended simple equation method dynamical systems generalized zakharov-kuznetsov-benjamin-bona-mahony equation riccati equation kink solitons |
| title | Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model |
| title_full | Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model |
| title_fullStr | Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model |
| title_full_unstemmed | Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model |
| title_short | Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model |
| title_sort | probing the diversity of kink solitons in nonlinear generalised zakharov kuznetsov benjamin bona mahony dynamical model |
| topic | riccati modified extended simple equation method dynamical systems generalized zakharov-kuznetsov-benjamin-bona-mahony equation riccati equation kink solitons |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241661 |
| work_keys_str_mv | AT nahermohammedaalsafri probingthediversityofkinksolitonsinnonlineargeneralisedzakharovkuznetsovbenjaminbonamahonydynamicalmodel AT hamadzogan probingthediversityofkinksolitonsinnonlineargeneralisedzakharovkuznetsovbenjaminbonamahonydynamicalmodel |