Novel stochastic embedded solitons with quadratic nonlinear susceptibility in the presence of multiplicative noise

被引：0

作者：

Zayed, Elsayed M. E. ^{[1
]}

Saad, Basel M. M. ^{[2
]}

Arnous, Ahmed H. ^{[3
]}

Yildirim, Yakup ^{[4
,5
]}

机构：

[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt

[2] El Arish Univ, Fac Sci, Dept Math, North Sinai, Egypt

[3] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, Cairo, Egypt

[4] Biruni Univ, Dept Comp Engn, TR-34010 Istanbul, Turkiye

[5] Near East Univ, Math Res Ctr, Nicosia 99138, Cyprus

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 09期

关键词：

stochastic embedded solitons; multiplicative noise; dark soliton; bright soliton; TRAVELING-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD; EVOLUTION-EQUATIONS; OPTICAL SOLITONS; PHYSICS;

D O I：

10.1088/1402-4896/ad6940

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper addresses the modeling of optical systems with stochastic quadratic nonlinearity for the first time, a novel and challenging research area within nonlinear optics. By incorporating multiplicative white noise and quadratic nonlinear susceptibility, the study presents an innovative approach to recovering optical solutions. Leveraging the G ' G -expansion method and extended Kudryashov's method, new stochastic exact solutions are derived, encompassing bright, dark, singular, and trigonometric solitons. Graphical representations aid in understanding these solutions' characteristics. Insights into the stochastic nature of optical solutions under various conditions are provided, offering valuable contributions to nonlinear optics and potential applications in telecommunications and materials science.

引用

页数：16

共 40 条

[21] Open and closed-loop stochastic dynamics of a class of nonlinear chemical processes with multiplicative noise
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[23] Blow-up for the stochastic nonlinear Schrodinger equations with quadratic potential and additive noise
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[24] Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
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[25] THE PERFORMANCE OF WONG-ZAKAI APPROXIMATIONS FOR THE INVESTIGATION OF STOCHASTIC DIFFERENTIAL EQUATION MODELS WITH NONLINEAR MULTIPLICATIVE NOISE
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Merdan, M.
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[26] On the solitonic wave structures and stability analysis of the stochastic nonlinear Schrödinger equation with the impact of multiplicative noise
Zulfiqar H.
Aashiq A.
Tariq K.U.
Ahmad H.
Almohsen B.
Aslam M.
Rehman H.U.
Optik, 2023, 289
[27] A Runge–Kutta type scheme for nonlinear stochastic partial differential equations with multiplicative trace class noise
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Numerical Algorithms, 2013, 62 : 193 - 223
[28] Observer-based H∞ fuzzy control for nonlinear stochastic systems with multiplicative noise and successive packet dropouts
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Sheng, Li
Liu, Yurong
Zhu, Zhengmao
NEUROCOMPUTING, 2016, 173 : 2001 - 2008
[29] Implicit Euler method for numerical solution of nonlinear stochastic partial differential equations with multiplicative trace class noise
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[30] Stochastic Resonance in Unsaturated Piecewise Nonlinear Bistable System Under Multiplicative and Additive Noise for Bearing Fault Diagnosis
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