Dark and singular highly dispersive optical solitons with Kudryashov’s sextic power-law of nonlinear refractive index in the absence of inter-modal dispersion [PDF]
, 2023 : The current paper studies highly dispersive optical solitons with the aid of Kudryashov’s integration algorithm. The governing model employs Kudryashov’s sextic power law of nonlinear refractive index. The inter-modal dispersion term is absent from the
Elsherbeny, Ahmed M. +8 more
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Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity [PDF]
, 2023 We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse propagation (PP) with perturbation effects, which has various applications in optical fibers, especially in photonic crystal fibers.
Bayram, Mustafa +3 more
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Solitons in dual-core optical fibers with chromatic dispersion [PDF]
, 2023 In this paper, some analytical solutions for a model of dual-core optical fbers governed by a system of coupled non-linear Schrödinger equations (NLSEs) and the efect of the coefcient of the group velocity dispersion term on the considered model are ...
Bayram, Mustafa +3 more
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Optical soliton solutions of Schrödinger–Hirota equation with parabolic law nonlinearity via generalized Kudryashov algorithm [PDF]
, 2023 The aim of this study is to peruse the dispersive Schrödinger–Hirota equation (SH equation) with parabolic law linearity to get optical soliton solutions by utilizing the generalized Kudryashov method (GKM).
Bayram, Mustafa +3 more
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(3+1)-dimensional Sasa–Satsuma equation under the effect of group velocity dispersion, self-frequency shift and self-steepening [PDF]
, 2023 Purpose: The aim of this study is to examine the effects of the coefficients of group velocity dispersion, self-frequency shift and self-steepening terms on the optical solitons of the (3+1)-dimensional Sasa–Satsuma equation which is important for ...
Özışık, Müslüm +2 more
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On the analytical optical soliton solutions of perturbed radhakrishnan–kundu–lakshmanan model with kerr law nonlinearity [PDF]
, 2022 This paper carries out the analytical optical soliton solutions of perturbed Radhakrishnan– Kundu–Lakshmanan (pRKL) equation with Kerr law nonlinearity using an efcient modifed extended tanh expansion method, enhanced with the new Riccati solutions ...
Bayram, Mustafa +4 more
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Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method
Journal of Mathematics, 2023 In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity.
Rajagopalan Ramaswamy +4 more
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Results in Physics, 2021 In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients.
Hadi Rezazadeh +6 more
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Symmetry Analysis, Exact Solutions and Conservation Laws of a Benjamin-Bona-Mahony-Burgers Equation in 2+1-Dimensions [PDF]
, 2021 The Benjamin-Bona-Mahony equation describes the unidirectional propagation of small-amplitude long waves on the surface of water in a channel. In this paper, we consider a family of generalized Benjamin-Bona-Mahony-Burgers equations depending on three ...
Bruzón Gallego, María de los Santos +2 more
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Results in Physics, 2022 In this paper, we study the optical solitons for Kudryashov’s law with dual form of generalized non-local nonlinearity in optical fibers. Through the trial equation method and the complete discrimination system for polynomial, we get various optical wave
Jian Zhang
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