Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system
The current study deals with the stochastic Nizhnik–Novikov–Veselov (SNNV) system analytically under the multiplicative noise effect. The Nizhnik–Novikov–Veselov equation is an extension of the KdV equation with applications in shallow-water waves, ionic acoustic waves in plasma, long internal waves...
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Elsevier
2023-05-01
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Series: | Results in Physics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723001821 |
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author | Tahira Sumbal Shaikh Muhammad Zafarullah Baber Nauman Ahmed Muhammad Sajid Iqbal Ali Akgül Sayed M. El Din |
author_facet | Tahira Sumbal Shaikh Muhammad Zafarullah Baber Nauman Ahmed Muhammad Sajid Iqbal Ali Akgül Sayed M. El Din |
author_sort | Tahira Sumbal Shaikh |
collection | DOAJ |
description | The current study deals with the stochastic Nizhnik–Novikov–Veselov (SNNV) system analytically under the multiplicative noise effect. The Nizhnik–Novikov–Veselov equation is an extension of the KdV equation with applications in shallow-water waves, ionic acoustic waves in plasma, long internal waves in density-stratified oceans, and sound waves on crystal networks. The stochastic wave structures are constructed with the help of the Sardar subequation method. The different solutions are extracted which are in the form of solitons and solitary wave structures in the noise effect. Additionally, the stochastic behavior appears in the 3-dim, 2-dim, and their corresponding contour representations by the various selection of parameters. |
first_indexed | 2024-04-09T20:20:29Z |
format | Article |
id | doaj.art-064df56e3b7a444d8e62e79398b177b9 |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-04-09T20:20:29Z |
publishDate | 2023-05-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
spelling | doaj.art-064df56e3b7a444d8e62e79398b177b92023-03-31T05:53:25ZengElsevierResults in Physics2211-37972023-05-0148106389Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) systemTahira Sumbal Shaikh0Muhammad Zafarullah Baber1Nauman Ahmed2Muhammad Sajid Iqbal3Ali Akgül4Sayed M. El Din5Department of Mathematics, Lahore College for Women University, Lahore, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Corresponding author.Department of Humanities & Basic Science, Military College of Signals, National University of Science and Technology, Islamabad, PakistanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100, Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey; Corresponding author at: Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100, Siirt, Turkey.Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptThe current study deals with the stochastic Nizhnik–Novikov–Veselov (SNNV) system analytically under the multiplicative noise effect. The Nizhnik–Novikov–Veselov equation is an extension of the KdV equation with applications in shallow-water waves, ionic acoustic waves in plasma, long internal waves in density-stratified oceans, and sound waves on crystal networks. The stochastic wave structures are constructed with the help of the Sardar subequation method. The different solutions are extracted which are in the form of solitons and solitary wave structures in the noise effect. Additionally, the stochastic behavior appears in the 3-dim, 2-dim, and their corresponding contour representations by the various selection of parameters.http://www.sciencedirect.com/science/article/pii/S2211379723001821Stochastic Nizhnik–Novikov–Veselov systemStochastic wave structuresSardar subequation methodMultiplicative noise |
spellingShingle | Tahira Sumbal Shaikh Muhammad Zafarullah Baber Nauman Ahmed Muhammad Sajid Iqbal Ali Akgül Sayed M. El Din Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system Results in Physics Stochastic Nizhnik–Novikov–Veselov system Stochastic wave structures Sardar subequation method Multiplicative noise |
title | Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system |
title_full | Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system |
title_fullStr | Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system |
title_full_unstemmed | Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system |
title_short | Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system |
title_sort | investigation of solitary wave structures for the stochastic nizhnik novikov veselov snnv system |
topic | Stochastic Nizhnik–Novikov–Veselov system Stochastic wave structures Sardar subequation method Multiplicative noise |
url | http://www.sciencedirect.com/science/article/pii/S2211379723001821 |
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