Numerical Solution of Dispersive Optical Solitons with Schrödinger‐Hirota Equation by Improved Adomian Decomposition Method

Bakodah, H. O.; Banaja, M. A.; Alshaery, A. A.; Qarni, A. A. Al

doi:10.1155/2019/2960912

Cited by 26 publications

(7 citation statements)

References 36 publications

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“…Here, we consider soliton as the object of our studies. When the second term in ( 1) is positive, we work in an anomalous dispersion system where the soliton solution is a bright soliton (Agrawal, 2013;Saputra et al, 2022). Now, lets us solve Equation (1) using direct solution methods.…”

Section: Nlse Model Of Lossy Fiber Systems and Direct Solution Methodsmentioning

confidence: 99%

“…We again calculated the loss value through the αdB ≈ λ 4 relationship and illustrated it in Figure 2 (look at the solid black line). Following the unit conversion rules in Agrawal (2013)…”

Section: Nlse Model Of Lossy Fiber Systems and Direct Solution Methodsmentioning

confidence: 99%

“…In contrast to dispersion: characterized by a second term of (1), it gives rise to the dilation effect on the pulse profile followed by the decay of the peak intensity. We recommend the books by Agrawal (2013) and Kivshar & Agrawal (2003) for readers to more easily understand this issue. For the bright soliton to have established stability, nonlinearity and dispersions must be at the right balance, and we do not find them in realistic cases (lossy fiber system).…”

Section: Nlse Model Of Lossy Fiber Systems and Direct Solution Methodsmentioning

confidence: 99%

“…When we study beam propagation in the system, the attenuation feature becomes integrated into NLSE. Following Agrawal (2013), we can derive them into one set of modified NLSE by beam propagation methods. A person might call it the model of perturbative NLSE.…”

Section: Introductionmentioning

confidence: 99%

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An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

et al. 2022

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We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending on the fiber attenuation constant of α. Considering fiber loss features on the equation, we write one set modification of the NLSE and make models the main topic of our work. We solved the model and found a straightforward analytical solution of modified NLSE for the system via the direct solution method. To the best of our knowledge, no literature has presented such as solution yet. By substituting them into equations, we validate solutions. It is valid as an exact solution to the NLSE. Lastly, we found a solution offering soliton propagation suitable for the system under study.

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Section: Nlse Model Of Lossy Fiber Systems and Direct Solution Methodsmentioning

confidence: 99%

Section: Nlse Model Of Lossy Fiber Systems and Direct Solution Methodsmentioning

confidence: 99%

Section: Nlse Model Of Lossy Fiber Systems and Direct Solution Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

et al. 2022

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“…we can say, it was solved partially, because their presences are constantly still noticed, especially when we go over the modern transmission technics. One of the solutions proposed was the use of optical amplifiers and also the use of optical solitons [6].…”

Section: Introductionmentioning

confidence: 99%

Characterization and Application of Solitons in a High Nonlinearity Optical Link with Dense Wavelength Division Multiplexing (DWDM) and Ultra-Dense Wavelength Division Multiplexing (UDWDM) Technics

Fati

Souamy

Bouesse

et al. 2021

JERR

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The constantly growing needs in terms of speed and bandwidth, especially all services using data has become greedy. Today optical fiber is the medium of choice for many advantages over others channels. although the optical fiber has taken the label of transmission channels, we won’t be able to do without its nonlinear character and dispersions, which are part of the major problems during optical transmission. In this article, we are presenting the use of optical solitons in the fiber optic link, with a particular way; we have considered two kind of links, the underground one and the overhead one, in the first link, we have applied optical soliton in order to just take into account the optical Kerr effect. And for the overhead link, we can transmit for short distance by using the return to zero modulation’s format and the use of optical Erbium Doped Fiber Amplifiers (EDFA). The solitons which are the impulses, capable of propagating in the nonlinear optical fiber and dispersive without any distortion; to justify our hypothesis, we compare a dense wavelength division multiplexing (DWDM) without soliton and the dense wavelength division multiplexing with solitons; we notice that, the link with soliton is better than the first because the pulse keeps its shape from the source up to the destination, its eye diagram is opened which means there is no much noises. After the simulations in Matlab and optisystem software, we went to Congo telecom, to do our test with the optical time-domain reflectometer (OTDR), for both installations. From that study while transmitting over 100km it is better to use optical solitons with the high speed.

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Abundant optical structures of the (2 + 1)-D stochastic chiral nonlinear Schrödinger equation

et al. 2023

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Numerical Solution of Dispersive Optical Solitons with Schrödinger‐Hirota Equation by Improved Adomian Decomposition Method

Cited by 26 publications

References 36 publications

An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

Characterization and Application of Solitons in a High Nonlinearity Optical Link with Dense Wavelength Division Multiplexing (DWDM) and Ultra-Dense Wavelength Division Multiplexing (UDWDM) Technics

Abundant optical structures of the (2 + 1)-D stochastic chiral nonlinear Schrödinger equation

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