Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis
The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs equation, which characterizes nonlinear solitary waves exhibiting distant and feeble scattering interactions among tropical tropospheres and mid-latitudes. Additionally, the study will examine the interchange of mid...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723009099 |
| _version_ | 1797615920288366592 |
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| author | Nura Talaq Alqurashi Maria Manzoor Sheikh Zain Majid Muhammad Imran Asjad M.S. Osman |
| author_facet | Nura Talaq Alqurashi Maria Manzoor Sheikh Zain Majid Muhammad Imran Asjad M.S. Osman |
| author_sort | Nura Talaq Alqurashi |
| collection | DOAJ |
| description | The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs equation, which characterizes nonlinear solitary waves exhibiting distant and feeble scattering interactions among tropical tropospheres and mid-latitudes. Additionally, the study will examine the interchange of mid-latitude Rossby waves and equatorial waves within this context. In this research article, we focus on obtaining exact traveling wave solutions for the Landau–Ginzburg–Higgs equation using a new extended direct algebraic technique. The obtained soliton solutions include various types such as combined and multiple bright-dark, periodic, bright, and multiple bright-periodic. We present these soliton solutions graphically by varying the involved parameters using the advanced software program Wolfram Mathematica. The graphical representations allow us to visualize the behavior of the wave velocity and wave number as the parameters change. Additionally, we conduct a chaotic analysis to examine the wave profiles of the newly designed dynamical framework. The results of this analysis demonstrate the reliability and efficiency of the proposed method, which can be applied to find closed-form traveling wave solitary solutions for a wide range of nonlinear evolution equations. |
| first_indexed | 2024-03-11T07:33:50Z |
| format | Article |
| id | doaj.art-549dbab1c42449b8b3930e1922f1c891 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T07:33:50Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-549dbab1c42449b8b3930e1922f1c8912023-11-17T05:26:36ZengElsevierResults in Physics2211-37972023-11-0154107116Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysisNura Talaq Alqurashi0Maria Manzoor1Sheikh Zain Majid2Muhammad Imran Asjad3M.S. Osman4Mathematics Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi ArabiaDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; Mathematics Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia; Corresponding author at: Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs equation, which characterizes nonlinear solitary waves exhibiting distant and feeble scattering interactions among tropical tropospheres and mid-latitudes. Additionally, the study will examine the interchange of mid-latitude Rossby waves and equatorial waves within this context. In this research article, we focus on obtaining exact traveling wave solutions for the Landau–Ginzburg–Higgs equation using a new extended direct algebraic technique. The obtained soliton solutions include various types such as combined and multiple bright-dark, periodic, bright, and multiple bright-periodic. We present these soliton solutions graphically by varying the involved parameters using the advanced software program Wolfram Mathematica. The graphical representations allow us to visualize the behavior of the wave velocity and wave number as the parameters change. Additionally, we conduct a chaotic analysis to examine the wave profiles of the newly designed dynamical framework. The results of this analysis demonstrate the reliability and efficiency of the proposed method, which can be applied to find closed-form traveling wave solitary solutions for a wide range of nonlinear evolution equations.http://www.sciencedirect.com/science/article/pii/S2211379723009099Landau–Ginzburg–Higgs equationNew extended direct algebraic methodExact traveling wave solutionsChaotic analysis |
| spellingShingle | Nura Talaq Alqurashi Maria Manzoor Sheikh Zain Majid Muhammad Imran Asjad M.S. Osman Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis Results in Physics Landau–Ginzburg–Higgs equation New extended direct algebraic method Exact traveling wave solutions Chaotic analysis |
| title | Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis |
| title_full | Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis |
| title_fullStr | Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis |
| title_full_unstemmed | Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis |
| title_short | Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis |
| title_sort | solitary waves pattern appear in tropical tropospheres and mid latitudes of nonlinear landau ginzburg higgs equation with chaotic analysis |
| topic | Landau–Ginzburg–Higgs equation New extended direct algebraic method Exact traveling wave solutions Chaotic analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723009099 |
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