On the novel nonlinear propagating waves in stochastic dispersive mode
The solutions of the nonlinear Schrödinger equations (NLSEs) predict the presence of consistent, novel and applicable existences including solitonic localized structures, rouge forms and shocks that propagate based on of physical parameters. The NLSEs with stochastic characteristics predict the anti...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000178 |
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| author | H.G. Abdelwahed A.F. Alsarhan E.K. El-Shewy Mahmoud A.E. Abdelrahman |
| author_facet | H.G. Abdelwahed A.F. Alsarhan E.K. El-Shewy Mahmoud A.E. Abdelrahman |
| author_sort | H.G. Abdelwahed |
| collection | DOAJ |
| description | The solutions of the nonlinear Schrödinger equations (NLSEs) predict the presence of consistent, novel and applicable existences including solitonic localized structures, rouge forms and shocks that propagate based on of physical parameters. The NLSEs with stochastic characteristics predict the anticipated nonlinear process generating decay or forcing in various wave applications. In this work, we discuss the NLSE via noise in Itô sense. New soliton-like, periodic waves and shocks solutions are presented in this study. The presented stochastic structures become crucial in the restricted relationship between the model’s nonlinearity, dispersion, and dissipative impacts. These stochastic structures generated changes in frequencies and density structures via noise term. It was observed that noise effects might alter the wave characteristics, thereby producing unprecedented physical and astrophysical densities. |
| format | Article |
| id | doaj-art-8f6d1dfcb2914fa780e9bf646ffd1962 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-8f6d1dfcb2914fa780e9bf646ffd19622025-01-22T05:44:12ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101089On the novel nonlinear propagating waves in stochastic dispersive modeH.G. Abdelwahed0A.F. Alsarhan1E.K. El-Shewy2Mahmoud A.E. Abdelrahman3Department of Physics, College of Science and Humanities, Al-Kharj, Prince Sattam bin Abdulaziz University, Al- Kharj 11942, Saudi Arabia; Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, Egypt; Corresponding author.Department of Physics, College of Science and Humanities, Al-Kharj, Prince Sattam bin Abdulaziz University, Al- Kharj 11942, Saudi ArabiaTheoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, Egypt; Department of Physics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaDepartment of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptThe solutions of the nonlinear Schrödinger equations (NLSEs) predict the presence of consistent, novel and applicable existences including solitonic localized structures, rouge forms and shocks that propagate based on of physical parameters. The NLSEs with stochastic characteristics predict the anticipated nonlinear process generating decay or forcing in various wave applications. In this work, we discuss the NLSE via noise in Itô sense. New soliton-like, periodic waves and shocks solutions are presented in this study. The presented stochastic structures become crucial in the restricted relationship between the model’s nonlinearity, dispersion, and dissipative impacts. These stochastic structures generated changes in frequencies and density structures via noise term. It was observed that noise effects might alter the wave characteristics, thereby producing unprecedented physical and astrophysical densities.http://www.sciencedirect.com/science/article/pii/S2666818125000178Stochastic nonlinear Schrödinger equationFreak waveShock waveDynamical potentialPhysical applications |
| spellingShingle | H.G. Abdelwahed A.F. Alsarhan E.K. El-Shewy Mahmoud A.E. Abdelrahman On the novel nonlinear propagating waves in stochastic dispersive mode Partial Differential Equations in Applied Mathematics Stochastic nonlinear Schrödinger equation Freak wave Shock wave Dynamical potential Physical applications |
| title | On the novel nonlinear propagating waves in stochastic dispersive mode |
| title_full | On the novel nonlinear propagating waves in stochastic dispersive mode |
| title_fullStr | On the novel nonlinear propagating waves in stochastic dispersive mode |
| title_full_unstemmed | On the novel nonlinear propagating waves in stochastic dispersive mode |
| title_short | On the novel nonlinear propagating waves in stochastic dispersive mode |
| title_sort | on the novel nonlinear propagating waves in stochastic dispersive mode |
| topic | Stochastic nonlinear Schrödinger equation Freak wave Shock wave Dynamical potential Physical applications |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000178 |
| work_keys_str_mv | AT hgabdelwahed onthenovelnonlinearpropagatingwavesinstochasticdispersivemode AT afalsarhan onthenovelnonlinearpropagatingwavesinstochasticdispersivemode AT ekelshewy onthenovelnonlinearpropagatingwavesinstochasticdispersivemode AT mahmoudaeabdelrahman onthenovelnonlinearpropagatingwavesinstochasticdispersivemode |