Dispersive optical soliton solutions in birefringent fibers with stochastic Kaup-Newell equation having multiplicative white noise

被引：8

作者：

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

El-Horbaty, Mahmoud ^{[1
]}

Gepreel, Khaled A. ^{[2
]}

机构：

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

[2] Taif Univ, Fac Sci, Math Dept, POB 11099, Taif 21944, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 01期

关键词：

Kaup-Newell model; multiplicative noise; solitons; white noise; FOKAS-LENELLS EQUATION; WAVE SOLUTIONS; PERTURBATION; NONLINEARITY; DARK;

D O I：

10.1002/mma.9658

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study for the first time the stochastic Kaup-Newell equation in birefringent fibers. Three integration algorithms are applied, namely, the unified Riccati equation expansion method, the addendum to Kudryashov's method, and the addendum to modified sub-ODE method. Many types of optical soliton solutions such as Jacobi-elliptic function solutions, Weierstrass elliptic function solutions, bright solitons, dark solitons, singular solitons, and periodic function solutions are obtained. Numerical schemes give a visual perspective to the solutions derived analytically.

引用

页码：352 / 370

页数：19

共 50 条

[41] Optical solitons in polarization preserving fibers for perturbed resonant NLSE with Kerr law nonlinearity and Bohm potential having multiplicative white noise via Ito calculus
Zayed, Elsayed M. E.
El-Horbaty, Mahmoud
Alngar, Mohamed E. M.
El-Shater, Mona
OPTIK, 2022, 261
[42] Dispersive optical solitons in magneto-optic waveguides for perturbed stochastic NLSE with generalized anti-cubic law nonlinearity and spatio-temporal dispersion having multiplicative white noise
Zayed, Elsayed M. E.
Alngar, Mohamed E. M.
Shohib, Reham M. A.
OPTIK, 2022, 271
[43] Optical Soliton solutions for stochastic Davey-Stewartson equation under the effect of noise
Iqbal, Muhammad Sajid
Inc, Mustafa
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (07)
[44] Dispersive optical solitons with Biswas-Milovic equation having dual-power law nonlinearity and multiplicative white noise via Ito calculus
Zayed, Elsayed M. E.
Shohib, Reham M. A.
Alngar, Mohamed E. M.
OPTIK, 2022, 270
[45] The traveling wave solution and dynamics analysis of the parabolic law nonlinear stochastic dispersive Schriidinger-Hirota equation with multiplicative white noise
Liu, Chunyan
Shi, Da
Li, Zhao
RESULTS IN PHYSICS, 2023, 54
[46] On Stochastic Pure-Cubic Optical Soliton Solutions of Nonlinear Schrödinger Equation Having Power Law of Self-Phase Modulation
Secer, Aydin
Onder, Ismail
Esen, Handenur
Ozdemir, Neslihan
Cinar, Melih
Cakicioglu, Hasan
Durmus, Selvi
Ozisik, Muslum
Bayram, Mustafa
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2024, 63 (09)
[47] Dispersive optical soliton wave solutions for the time-fractional perturbed nonlinear Schrodinger equation with truncated M-fractional conformable derivative in the nonlinear optical fibers
Das, Nilkanta
Ray, S. Saha
OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (09)
[48] Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrodinger equation and its applications in mono-mode optical fibers
Arshad, Muhammad
Seadawy, Aly R.
Lu, Dianchen
SUPERLATTICES AND MICROSTRUCTURES, 2018, 113 : 419 - 429
[49] Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise
Arnous, Ahmed H.
Biswas, Anjan
Yildirim, Yakup
Alshomrani, Ali Saleh
CONTEMPORARY MATHEMATICS, 2024, 5 (01): : 566 - 588
[50] Dispersive optical soliton wave solutions for the time-fractional perturbed nonlinear Schrödinger equation with truncated M-fractional conformable derivative in the nonlinear optical fibers
Nilkanta Das
S. Saha Ray
Optical and Quantum Electronics, 2022, 54

← 1 2 3 4 5 →