Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations
Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plasma physics, engineering, and other related subjects. The higher dimensional generalized Boussinesq equation (gBE) and the Klein-Gordon (KG) equation have remarkable applications in the field of quantu...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-09-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364721001762 |
| _version_ | 1819118092956991488 |
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| author | Yu-Ming Chu Md. Rezwan Ahamed Fahim Purobi Rani Kundu Md. Ekramul Islam M. Ali Akbar Mustafa Inc |
| author_facet | Yu-Ming Chu Md. Rezwan Ahamed Fahim Purobi Rani Kundu Md. Ekramul Islam M. Ali Akbar Mustafa Inc |
| author_sort | Yu-Ming Chu |
| collection | DOAJ |
| description | Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plasma physics, engineering, and other related subjects. The higher dimensional generalized Boussinesq equation (gBE) and the Klein-Gordon (KG) equation have remarkable applications in the field of quantum mechanics, recession flow analysis, fluid mechanics etc. In this article, the soliton solutions of the higher-dimensional nonlinear evolution equations (NLEEs) have been extracted through extending the sine-Gordon expansion method and we analyze the effect of the associated parameters and the phenomena establishing the lump, kink, rogue, bright-dark, spiked, periodic wave, anti-bell wave, singular soliton etc. Formerly, the sine-Gordon expansion (sGE) method was used only to search for lower-dimensional NLEEs. In order to illustrate the latency, we have portrayed diagrams for different values of parameters and it is noteworthy that the properties of the features change as the parameters change. |
| first_indexed | 2024-12-22T05:43:23Z |
| format | Article |
| id | doaj.art-e20a126b17fc4b52a65f1809b2e96cf5 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-22T05:43:23Z |
| publishDate | 2021-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-e20a126b17fc4b52a65f1809b2e96cf52022-12-21T18:37:07ZengElsevierJournal of King Saud University: Science1018-36472021-09-01336101515Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equationsYu-Ming Chu0Md. Rezwan Ahamed Fahim1Purobi Rani Kundu2Md. Ekramul Islam3M. Ali Akbar4Mustafa Inc5Department of Mathematics, Huzhou University, Huzhou 313000, China; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaDepartment of Mathematics, Pabna University of Science and Technology, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, BangladeshDepartment of Applied Mathematics, University of Rajshahi, BangladeshDepartment of Computer Engineering, Biruni University, Istanbul, Turkey; Department of Mathematics, Firat University, Elazig, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, 40402 Taichung, Taiwan; Corresponding author at: Department of Computer Engineering, Biruni University, Istanbul, Turkey.Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plasma physics, engineering, and other related subjects. The higher dimensional generalized Boussinesq equation (gBE) and the Klein-Gordon (KG) equation have remarkable applications in the field of quantum mechanics, recession flow analysis, fluid mechanics etc. In this article, the soliton solutions of the higher-dimensional nonlinear evolution equations (NLEEs) have been extracted through extending the sine-Gordon expansion method and we analyze the effect of the associated parameters and the phenomena establishing the lump, kink, rogue, bright-dark, spiked, periodic wave, anti-bell wave, singular soliton etc. Formerly, the sine-Gordon expansion (sGE) method was used only to search for lower-dimensional NLEEs. In order to illustrate the latency, we have portrayed diagrams for different values of parameters and it is noteworthy that the properties of the features change as the parameters change.http://www.sciencedirect.com/science/article/pii/S1018364721001762sGEMgBEKGESoliton solutions |
| spellingShingle | Yu-Ming Chu Md. Rezwan Ahamed Fahim Purobi Rani Kundu Md. Ekramul Islam M. Ali Akbar Mustafa Inc Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations Journal of King Saud University: Science sGEM gBE KGE Soliton solutions |
| title | Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations |
| title_full | Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations |
| title_fullStr | Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations |
| title_full_unstemmed | Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations |
| title_short | Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations |
| title_sort | extension of the sine gordon expansion scheme and parametric effect analysis for higher dimensional nonlinear evolution equations |
| topic | sGEM gBE KGE Soliton solutions |
| url | http://www.sciencedirect.com/science/article/pii/S1018364721001762 |
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