Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics
The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) model and the modified version of the new Kudryashov (MVNK) technique are chosen in the current research to obtain the traveling wave solutions (TWSs). The obtained solutions represent the rich range of explicit solutions to the studied model. As...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123000864 |
| _version_ | 1827583675399667712 |
|---|---|
| author | S.M. Yiasir Arafat M.M. Rahman M F Karim M R Amin |
| author_facet | S.M. Yiasir Arafat M.M. Rahman M F Karim M R Amin |
| author_sort | S.M. Yiasir Arafat |
| collection | DOAJ |
| description | The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) model and the modified version of the new Kudryashov (MVNK) technique are chosen in the current research to obtain the traveling wave solutions (TWSs). The obtained solutions represent the rich range of explicit solutions to the studied model. As a result, TWSs to the stated model are expressed as the different types of wave profiles such as the kink shape, bell shape, anti-bell shape, and W-shape wave profiles. The Hamiltonian function is found from the stated model and shown it as three dimensional, contour and phase plane in this manuscript. The effects of wave velocity and other parameters on the wave profile are also discussed. The obtained wave profiles are typically useful in applications how waves interact with high-dimensional systems in new, specialized structures. Additionally, the direction and position of solitons for changing other parameters can offer a clear-cut explanation of all the different features of wind and water waves. It is seen that the mentioned scheme is effective, potential and easy in mathematical physics. Finally, this study may be opened up brand-new avenues for further study and application in the fields of mathematical physics. |
| first_indexed | 2024-03-08T23:10:07Z |
| format | Article |
| id | doaj.art-1726c2377f8249cbb2c294d288c4b2ae |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:07Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-1726c2377f8249cbb2c294d288c4b2ae2023-12-15T07:26:50ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100573Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physicsS.M. Yiasir Arafat0M.M. Rahman1M F Karim2M R Amin3Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh; Corresponding author.Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, BangladeshDepartment of Mathematical and Physical Sciences, East West University, Dhaka 1212, BangladeshDepartment of Mathematical and Physical Sciences, East West University, Dhaka 1212, BangladeshThe (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) model and the modified version of the new Kudryashov (MVNK) technique are chosen in the current research to obtain the traveling wave solutions (TWSs). The obtained solutions represent the rich range of explicit solutions to the studied model. As a result, TWSs to the stated model are expressed as the different types of wave profiles such as the kink shape, bell shape, anti-bell shape, and W-shape wave profiles. The Hamiltonian function is found from the stated model and shown it as three dimensional, contour and phase plane in this manuscript. The effects of wave velocity and other parameters on the wave profile are also discussed. The obtained wave profiles are typically useful in applications how waves interact with high-dimensional systems in new, specialized structures. Additionally, the direction and position of solitons for changing other parameters can offer a clear-cut explanation of all the different features of wind and water waves. It is seen that the mentioned scheme is effective, potential and easy in mathematical physics. Finally, this study may be opened up brand-new avenues for further study and application in the fields of mathematical physics.http://www.sciencedirect.com/science/article/pii/S2666818123000864(2 + 1)dimensional Konopelchenko–Dubrovsky (KD) modelModified version of the new Kudryashov (MVNK) techniqueBifurcation analysisSolitonsTravelling wave |
| spellingShingle | S.M. Yiasir Arafat M.M. Rahman M F Karim M R Amin Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics Partial Differential Equations in Applied Mathematics (2 + 1)dimensional Konopelchenko–Dubrovsky (KD) model Modified version of the new Kudryashov (MVNK) technique Bifurcation analysis Solitons Travelling wave |
| title | Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics |
| title_full | Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics |
| title_fullStr | Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics |
| title_full_unstemmed | Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics |
| title_short | Wave profile analysis of the (2 + 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics |
| title_sort | wave profile analysis of the 2 1 dimensional konopelchenko dubrovsky model in mathematical physics |
| topic | (2 + 1)dimensional Konopelchenko–Dubrovsky (KD) model Modified version of the new Kudryashov (MVNK) technique Bifurcation analysis Solitons Travelling wave |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123000864 |
| work_keys_str_mv | AT smyiasirarafat waveprofileanalysisofthe21dimensionalkonopelchenkodubrovskymodelinmathematicalphysics AT mmrahman waveprofileanalysisofthe21dimensionalkonopelchenkodubrovskymodelinmathematicalphysics AT mfkarim waveprofileanalysisofthe21dimensionalkonopelchenkodubrovskymodelinmathematicalphysics AT mramin waveprofileanalysisofthe21dimensionalkonopelchenkodubrovskymodelinmathematicalphysics |