A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion
The extraction of novel optical solitons for the proposed model, which includes Kerr law nonlinearity, space–time dispersion, different Hamiltonian perturbation terms, and the effect of multiplicative white noise, is the aim of this work. A complete set of soliton solutions is obtained by applying t...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824012511 |
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| author | Wedad Albalawi Nauman Raza Saima Arshed Evren Hincal Saud Owyed Kottakkaran Sooppy Nisar Mohammed Zakaria |
| author_facet | Wedad Albalawi Nauman Raza Saima Arshed Evren Hincal Saud Owyed Kottakkaran Sooppy Nisar Mohammed Zakaria |
| author_sort | Wedad Albalawi |
| collection | DOAJ |
| description | The extraction of novel optical solitons for the proposed model, which includes Kerr law nonlinearity, space–time dispersion, different Hamiltonian perturbation terms, and the effect of multiplicative white noise, is the aim of this work. A complete set of soliton solutions is obtained by applying three different expansion strategies. The final findings are visualized graphically via surface graphics, density plots and 2D plots to illustrate the behavior noise phenomenon on obtained solutions. These visual depictions shed light on various aspects of the equation’s dynamics and offer invaluable insights. Our computational analysis serves to verify the effectiveness and adaptability of our methodologies in addressing a broad class of nonlinear problems in mathematical science and engineering. This research communicates new avenues for our understanding of optical phenomena and provides a useful insight of how solitons behave in the presence of noise. |
| format | Article |
| id | doaj-art-28c43c2039dc48618b84a0ba0b32f29c |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-28c43c2039dc48618b84a0ba0b32f29c2025-01-29T05:00:08ZengElsevierAlexandria Engineering Journal1110-01682025-01-01112140150A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersionWedad Albalawi0Nauman Raza1Saima Arshed2Evren Hincal3Saud Owyed4Kottakkaran Sooppy Nisar5Mohammed Zakaria6Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, University the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan; Department of Mathematics, Near East University, TRNC, Mersin 10, Nicosia 99138, Turkey; Corresponding author at: Department of Mathematics, University the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan.Department of Mathematics, University the Punjab, Quaid-e-Azam Campus, Lahore 54590, PakistanDepartment of Mathematics, Near East University, TRNC, Mersin 10, Nicosia 99138, TurkeyDepartment of Mathematics, College of Sciences, University of Bisha, Bisha, 61922, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi ArabiaDepartment of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaThe extraction of novel optical solitons for the proposed model, which includes Kerr law nonlinearity, space–time dispersion, different Hamiltonian perturbation terms, and the effect of multiplicative white noise, is the aim of this work. A complete set of soliton solutions is obtained by applying three different expansion strategies. The final findings are visualized graphically via surface graphics, density plots and 2D plots to illustrate the behavior noise phenomenon on obtained solutions. These visual depictions shed light on various aspects of the equation’s dynamics and offer invaluable insights. Our computational analysis serves to verify the effectiveness and adaptability of our methodologies in addressing a broad class of nonlinear problems in mathematical science and engineering. This research communicates new avenues for our understanding of optical phenomena and provides a useful insight of how solitons behave in the presence of noise.http://www.sciencedirect.com/science/article/pii/S1110016824012511Sardar sub-equation strategyG’/(bG’+G+a)-expansion strategySine–Gordon expansion strategyConcatenation modelMultiplicative white noiseSolitons |
| spellingShingle | Wedad Albalawi Nauman Raza Saima Arshed Evren Hincal Saud Owyed Kottakkaran Sooppy Nisar Mohammed Zakaria A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion Alexandria Engineering Journal Sardar sub-equation strategy G’/(bG’+G+a)-expansion strategy Sine–Gordon expansion strategy Concatenation model Multiplicative white noise Solitons |
| title | A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion |
| title_full | A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion |
| title_fullStr | A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion |
| title_full_unstemmed | A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion |
| title_short | A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion |
| title_sort | collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio temporal dispersion |
| topic | Sardar sub-equation strategy G’/(bG’+G+a)-expansion strategy Sine–Gordon expansion strategy Concatenation model Multiplicative white noise Solitons |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824012511 |
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