Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity
In this paper, the stochastic fourth order nonlinear Schrödinger equation with quantic nonlinearity and affected by multiplicative noise is considered. This model is used to mimic the wave propagation through optical fibers. The improved modified extended tanh method is used to extract optical solut...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023776?viewType=HTML |
| _version_ | 1797829561721815040 |
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| author | Yazid Alhojilan Islam Samir |
| author_facet | Yazid Alhojilan Islam Samir |
| author_sort | Yazid Alhojilan |
| collection | DOAJ |
| description | In this paper, the stochastic fourth order nonlinear Schrödinger equation with quantic nonlinearity and affected by multiplicative noise is considered. This model is used to mimic the wave propagation through optical fibers. The improved modified extended tanh method is used to extract optical solutions for the investigated model. Various types of stochastic solutions are provided such as bright soliton, dark soliton, singular soliton, singular periodic solution and Weierstrass elliptic solution. Moreover, Matlab software packages are used to introduce the effect of the multiplicative noise on the raised solutions. The noise intensity is varied to show the robust of the extracted solutions against the noise. |
| first_indexed | 2024-04-09T13:22:36Z |
| format | Article |
| id | doaj.art-8357e246eb924ad8a631ff1dc36288dd |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T13:22:36Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8357e246eb924ad8a631ff1dc36288dd2023-05-11T01:54:52ZengAIMS PressAIMS Mathematics2473-69882023-04-0187152011521310.3934/math.2023776Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearityYazid Alhojilan 0Islam Samir11. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia2. Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, EgyptIn this paper, the stochastic fourth order nonlinear Schrödinger equation with quantic nonlinearity and affected by multiplicative noise is considered. This model is used to mimic the wave propagation through optical fibers. The improved modified extended tanh method is used to extract optical solutions for the investigated model. Various types of stochastic solutions are provided such as bright soliton, dark soliton, singular soliton, singular periodic solution and Weierstrass elliptic solution. Moreover, Matlab software packages are used to introduce the effect of the multiplicative noise on the raised solutions. The noise intensity is varied to show the robust of the extracted solutions against the noise.https://www.aimspress.com/article/doi/10.3934/math.2023776?viewType=HTMLquantic nonlinearitynonlinear equationspartial differential equationsstochastic nlsemultiplicative noise |
| spellingShingle | Yazid Alhojilan Islam Samir Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity AIMS Mathematics quantic nonlinearity nonlinear equations partial differential equations stochastic nlse multiplicative noise |
| title | Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity |
| title_full | Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity |
| title_fullStr | Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity |
| title_full_unstemmed | Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity |
| title_short | Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity |
| title_sort | investigating stochastic solutions for fourth order dispersive nlse with quantic nonlinearity |
| topic | quantic nonlinearity nonlinear equations partial differential equations stochastic nlse multiplicative noise |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023776?viewType=HTML |
| work_keys_str_mv | AT yazidalhojilan investigatingstochasticsolutionsforfourthorderdispersivenlsewithquanticnonlinearity AT islamsamir investigatingstochasticsolutionsforfourthorderdispersivenlsewithquanticnonlinearity |