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Article
Optics
Mehmet Ekici
Summary: This paper investigates the recovery of stationary optical solitons using Kudryashov's recently proposed nonlinear refractive index structure with quintuple power laws. The extended Jacobi's elliptic function expansion is employed as the integration algorithm, considering both linear and generalized formats of the temporal evolution term.
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS
(2023)
Article
Optics
Nikolay A. Kudryashov et al.
Summary: This paper applies Painleve analysis to a concatenated model combining the well-known nonlinear Schrodinger's equation, Lakshmanan-Porsezian-Daniel model, and Sasa-Satsuma equation. A bright 1-soliton solution is obtained using Jacobi's elliptic function as an intermediary.
Article
Astronomy & Astrophysics
Anjan Biswas et al.
Summary: This paper retrieves an optical 1-soliton solution by combining the Lakshmanan-Porsezian-Daniel model and Sasa-Satsuma equation. The method of undetermined coefficients is used to obtain a full spectrum of 1-soliton solutions. The multiplier approach is applied to calculate the conserved densities and quantities from the bright 1-soliton solution.
Article
Optics
Nikolay A. Kudryashov et al.
Summary: This paper applies Painleve analysis to a concatenated model consisting of the well-known nonlinear Schrodinger's equation, Lakshmanan-Porsezian-Daniel model, and Sasa-Satsuma equation. A bright 1-soliton solution is then obtained using the intermediary Jacobi's elliptic function.
Article
Optics
Abdullah Sonmezoglu
Summary: In this paper, stationary optical solitons to nonlinear Schrodinger's equation with nonlinear chromatic dispersion and Kudryashov's quintuple power law nonlinearity are studied using the extended version of G'/G-expansion approach, resulting in various soliton solutions.
Article
Physics, Multidisciplinary
Mehmet Ekici
Summary: This study obtains stationary optical solitons for the complex Ginzburg-Landau equation by using Kudryashov's self-phase modulation structures. The nonlinearity of chromatic dispersion is also considered. Six forms of nonlinear refractive index are examined. The adopted integration scheme, the generalized G'/G-expansion approach, provides solutions in terms of Jacobi's elliptic functions. By applying the limiting approach with the modulus of ellipticity, stationary optical solitons finally emerge from the model.
Article
Mathematics, Interdisciplinary Applications
Houria Triki et al.
Summary: In this study, we investigate the propagation dynamics of extremely short light pulses in an optical fiber medium. The results are important for the experimental realization of shape-preserved pulses in optical fibers and further understanding of their optical transmission properties.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Optics
O. Gonzalez-Gaxiola et al.
Summary: This paper presents a numerical analysis of perturbed optical solitons governed by the Sasa-Satsuma equation using the Laplace-Adomian decomposition integration scheme. Surface plots of bright and dark optical solitons are shown, along with contour plots and error plots. The impressive error measure of O(10(-7)) from the integration scheme is highlighted.
Article
Physics, Fluids & Plasmas
Adrian Ankiewicz et al.
Article
Physics, Multidisciplinary
Adrian Ankiewicz et al.
