Soliton dynamics in optical fiber based on nonlinear Schrödinger equation

Mardi, Harish Abdillah; Nasaruddin, Nasaruddin; Ikhwan, Muhammad; Nurmaulidar, Nurmaulidar; Ramli, Marwan

doi:10.1016/j.heliyon.2023.e14235

Cited by 6 publications

(2 citation statements)

References 60 publications

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“…In engineering [ [5] , [6] , [7] , [8] , [9] ], they are used to model the behavior of structures, systems, and materials. In mathematics [ [10] , [11] , [12] , [13] , [14] , [15] ], they are accustomed to the study of the solutions and properties of nonlinear systems. These equations are notoriously difficult to solve due to their highly nonlinear nature, so analytical methods are not always successful.…”

Section: Introductionmentioning

confidence: 99%

Effect of the nonlinear dispersive coefficient on time-dependent variable coefficient soliton solutions of the Kolmogorov-Petrovsky-Piskunov model arising in biological and chemical science

Roshid,

Rahman,

Or-Roshid

2024

Heliyon

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Section: Introductionmentioning

confidence: 99%

Effect of the nonlinear dispersive coefficient on time-dependent variable coefficient soliton solutions of the Kolmogorov-Petrovsky-Piskunov model arising in biological and chemical science

Roshid,

Rahman,

Or-Roshid

2024

Heliyon

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“…For the past fifty years, soliton has been the subject of theoretical and empirical research. Solitons have been explored in a variety of fields, including optics, plasmas, fluids, and many more [6].…”

Section: Introductionmentioning

confidence: 99%

Intensity variability in stationary solutions of the Fractional Nonlinear Schrödinger Equation

Ramli,

Nazaruddin,

Ikhwan

et al. 2024

ITM Web Conf.

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Solitons that propagate in optical fiber with indexes of refraction, dispersion, and diffraction are balanced, making pulses or electromagnetic waves propagate without any distortion. This is closely related to use of nonlinear refractive index in fiber optics. If an optical fiber only uses a nonlinear refractive index, then the partial signal can be lost over time. This study aims to analyze the variability of stationary solutions in multi-solitons formed using Fractional Nonlinear Schrödinger (FNLS). The parameter p indicates energy level of the solution to FNLS equation which has a positive integer value. This study focuses on 3 variations of p values, namely p = 0 which indicates the ground state, p = 1 which indicates the first excited state, and p = 2 which indicates the second excited state. During the first to second excited state, multi soliton peaks are formed with the same amplitude symmetrically. The amplitude experienced by the middle soliton in second excited state is lower which indicates the input signal obtained from the FNLS solution in the ground state in the form of triple-soliton. The polarization mode cause the soliton pulse width to shrink and the consequent amplitude in the first excited state to increase.

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Analytic solutions for stochastic fourth-order (2+1)-dimensional NLSE with higher order odd and even terms using IMETFM

Shehab,

El-Sheikh,

Ahmed

et al. 2024

Opt Quant Electron

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Soliton dynamics in optical fiber based on nonlinear Schrödinger equation

Cited by 6 publications

References 60 publications

Effect of the nonlinear dispersive coefficient on time-dependent variable coefficient soliton solutions of the Kolmogorov-Petrovsky-Piskunov model arising in biological and chemical science

Effect of the nonlinear dispersive coefficient on time-dependent variable coefficient soliton solutions of the Kolmogorov-Petrovsky-Piskunov model arising in biological and chemical science

Intensity variability in stationary solutions of the Fractional Nonlinear Schrödinger Equation

Analytic solutions for stochastic fourth-order (2+1)-dimensional NLSE with higher order odd and even terms using IMETFM

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