Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis
This study investigates optical solitons solutions within the framework of the two new (3 + 1)-dimensional integrable wave equations by employing the modified Sardar sub-equation method. The importance of these suggested models span diverse fields including geophysics, seismology, medical imaging, p...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724001165 |
| _version_ | 1797306914752692224 |
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| author | Jamshad Ahmad Zulaikha Mustafa Maham Hameed Shalan Alkarni Nehad Ali Shah |
| author_facet | Jamshad Ahmad Zulaikha Mustafa Maham Hameed Shalan Alkarni Nehad Ali Shah |
| author_sort | Jamshad Ahmad |
| collection | DOAJ |
| description | This study investigates optical solitons solutions within the framework of the two new (3 + 1)-dimensional integrable wave equations by employing the modified Sardar sub-equation method. The importance of these suggested models span diverse fields including geophysics, seismology, medical imaging, photonics and sensor development. The derived solutions, meticulously verified using Mathematica, encompass a rich array of mathematical functions including trigonometric, hyperbolic, and exponential functions. Visualization techniques, such as 3D plots, 2D plots, density graphs, contour graphs and polar graphs, effectively illustrate the diverse behaviors exhibited by these soliton solutions. These behaviors include lump, periodic, kink, dark, bright, peakons, cuspons, compactons soliton waves and other complex phenomena. Moreover the modulation instability of the consider model is examined, and corresponding conditions are established. The soliton solutions highlight the efficiency and effectiveness of these method in discovering traveling wave solutions, presenting a valuable tool for addressing a range of nonlinear evolution equations arising in diverse scientific fields such as hydrodynamics, optical fiber communications, plasma physics, ocean engineering, nonlinear dynamics, and condensed matter physics. |
| first_indexed | 2024-03-08T00:48:44Z |
| format | Article |
| id | doaj.art-274aa558324249f78c596ea8348b80c3 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-08T00:48:44Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-274aa558324249f78c596ea8348b80c32024-02-15T05:24:01ZengElsevierResults in Physics2211-37972024-02-0157107434Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysisJamshad Ahmad0Zulaikha Mustafa1Maham Hameed2Shalan Alkarni3Nehad Ali Shah4Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan; Corresponding author.Department of Mathematics, Faculty of Science, University of Gujrat, 50700, PakistanDepartment of Mathematics, Faculty of Science, University of Gujrat, 50700, PakistanDepartment of Mathematics, College of science, King Saud University, P.O. Box-2455 Riyadh 11451, Saudi ArabiaDepartment of Mechanical Engineering, Sejong University, Seoul 05006, South KoreaThis study investigates optical solitons solutions within the framework of the two new (3 + 1)-dimensional integrable wave equations by employing the modified Sardar sub-equation method. The importance of these suggested models span diverse fields including geophysics, seismology, medical imaging, photonics and sensor development. The derived solutions, meticulously verified using Mathematica, encompass a rich array of mathematical functions including trigonometric, hyperbolic, and exponential functions. Visualization techniques, such as 3D plots, 2D plots, density graphs, contour graphs and polar graphs, effectively illustrate the diverse behaviors exhibited by these soliton solutions. These behaviors include lump, periodic, kink, dark, bright, peakons, cuspons, compactons soliton waves and other complex phenomena. Moreover the modulation instability of the consider model is examined, and corresponding conditions are established. The soliton solutions highlight the efficiency and effectiveness of these method in discovering traveling wave solutions, presenting a valuable tool for addressing a range of nonlinear evolution equations arising in diverse scientific fields such as hydrodynamics, optical fiber communications, plasma physics, ocean engineering, nonlinear dynamics, and condensed matter physics.http://www.sciencedirect.com/science/article/pii/S2211379724001165Optical solitonsNew (3 + 1)-dimensional integrable wave equationsThe modified Sardar sub-equation methodCompactons solitonsSolitary wave structuresModulation instability |
| spellingShingle | Jamshad Ahmad Zulaikha Mustafa Maham Hameed Shalan Alkarni Nehad Ali Shah Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis Results in Physics Optical solitons New (3 + 1)-dimensional integrable wave equations The modified Sardar sub-equation method Compactons solitons Solitary wave structures Modulation instability |
| title | Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis |
| title_full | Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis |
| title_fullStr | Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis |
| title_full_unstemmed | Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis |
| title_short | Dynamics characteristics of soliton structures of the new (3 + 1) dimensional integrable wave equations with stability analysis |
| title_sort | dynamics characteristics of soliton structures of the new 3 1 dimensional integrable wave equations with stability analysis |
| topic | Optical solitons New (3 + 1)-dimensional integrable wave equations The modified Sardar sub-equation method Compactons solitons Solitary wave structures Modulation instability |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724001165 |
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