Stochastic perturbation of optical Gaussons with bandpass filters and multi-photon absorption

Khan, Salam; Majid, Fayequa B.; Biswas, Anjan; Zhou, Qin; Alfiras, Mohanad; Moshokoa, Seithuti P.; Belić, Milivoj R.

doi:10.1016/j.ijleo.2018.10.019

Cited by 11 publications

(4 citation statements)

References 7 publications

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“…Exact soliton solution to the log NLS equation is given by [6], [8] , [17], [26], [29], [30] and [31] In the log NLS equation (1) , the three conserved values are [6], [26], [29] and [31]…”

Section: Problem Statementmentioning

confidence: 99%

“…Bandpass filters and multi-photon absorption were also topics that Salman and colleagues addressed in the same year. In addition to this, he provided an explanation for the mean free velocity of optical Gaussons that moved with stochastic disturbance [26]. The Laplace-Adomian decomposition method is a methodology that can be effective in the investigation of optical Gaussons, as stated by Gaxiola et al in the year 2020.…”

Section: Introductionmentioning

confidence: 99%

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A Linearized Implicit Scheme for Solving Logarithmic Nonlinear Schrödinger’s Equation

Al-Harbi,

Al-Hamdan,

Wazzan

2023

ARJOM

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In this research, we will develop a numerical scheme for solving the nonlinear logarithmic Schrödinger’s equation using the Linearized implicit scheme, that has second-order accuracy in space and time, with significant savings in computational time. We then compare the results to those obtained previously using the Crank-Nicolson scheme of the finite difference method. The stability and precision of this method will be evaluated before it is implemented. Precise solution and conserved quantities will be used to prove the efficiency as well as reliability of the method that has been proposed. Additionally, tests are conducted to explore the interactions that take place between two and three solitons. The numerical findings of our investigation demonstrated that the behavior of interactions is elastic.

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“…Exact soliton solution to the log NLS equation is given by [6], [8] , [17], [26], [29], [30] and [31] In the log NLS equation (1) , the three conserved values are [6], [26], [29] and [31]…”

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Linearized Implicit Scheme for Solving Logarithmic Nonlinear Schrödinger’s Equation

Al-Harbi,

Al-Hamdan,

Wazzan

2023

ARJOM

View full text Add to dashboard Cite

show abstract

“…Previous studies have employed stochastic nonlinear Schrödinger equations to describe the behavior of stochastic optical solitons in nonlinear media. These equations have been extensively discussed in literature, with references such as [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach

Shehab,

El‐Sheikh,

Ahmed

et al. 2023

Math Methods in App Sciences

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The improved modified extended tanh‐function approach was used to study optical stochastic soliton solutions and other exact stochastic solutions for the nonlinear Schrödinger‐Hirota equation with multiplicative white noise. The derived solutions include stochastic bright solitons, stochastic singular solitons, stochastic periodic solutions, stochastic singular periodic solutions, stochastic exponential solutions, stochastic rational solutions, and stochastic Jacobi elliptic doubly periodic solutions. Constraints on the parameters were taken into account to ensure the existence of the obtained stochastic soliton solutions. Additionally, selected solutions were presented graphically to illustrate the physical characteristics of the stochastic solutions. In this paper, we used Mathematica (11.3) packages to find the coefficients and Matlab (R2015a) packages to plot the graphs.

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“…Salman et al discussed about the multi-photon absorption and bandpass filters in the same year. He also explained the mean free velocity of optical Gaussons that move with stochastic perturbation [19]. According to Gaxiola et al in 2020, the Laplace-Adomian decomposition approach is useful in the study of optical Gaussons.…”

Section: Introductionmentioning

confidence: 99%

Numerical Methods for Solving Logarithmic Nonlinear Schr&#246;dinger’s Equation

Al-Harbi¹,

Al-Hamdan²,

Wazzan³

2022

JAMP

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In this study, we will construct numerical techniques for tackling the logarithmic Schrödinger's nonlinear equation utilizing the explicit scheme and the Crank-Nicolson scheme of the finite difference method. These schemes will be subjected to accuracy and stability tests before being used. Efficacy and robustness of the techniques under consideration will be demonstrated using an exact solution, one-Gausson, as well as conserved quantities. Interaction of two-soliton will be conducted. The numerical findings revealed, the interplay behavior is flexible.

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Stochastic perturbation of optical Gaussons with bandpass filters and multi-photon absorption

Cited by 11 publications

References 7 publications

A Linearized Implicit Scheme for Solving Logarithmic Nonlinear Schrödinger’s Equation

A Linearized Implicit Scheme for Solving Logarithmic Nonlinear Schrödinger’s Equation

Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach

Numerical Methods for Solving Logarithmic Nonlinear Schr&#246;dinger’s Equation

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Stochastic perturbation of optical Gaussons with bandpass filters and multi-photon absorption

Cited by 11 publications

References 7 publications

A Linearized Implicit Scheme for Solving Logarithmic Nonlinear Schrödinger’s Equation

A Linearized Implicit Scheme for Solving Logarithmic Nonlinear Schrödinger’s Equation

Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach

Numerical Methods for Solving Logarithmic Nonlinear Schr&amp;#246;dinger’s Equation

Contact Info

Product

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About

Numerical Methods for Solving Logarithmic Nonlinear Schrödinger’s Equation