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Article
Computer Science, Information Systems
Ming-Yue Wang et al.
Summary: This paper uses the trial equation approach to address the newly proposed concatenation model. The concatenation model is a chain model that combines the nonlinear Schrodinger's equation, Lakshmanan-Porsezian-Daniel model, and Sasa-Satsuma equation. The recovered solutions are displayed in various forms such as dark solitons, singular solitons, cnoidal waves, and singular periodic waves. The trial equation approach allows for a wide range of solutions to be recovered. Numerical schemes provide a visual perspective to the analytically derived solutions.
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
Mathematics
Anjan Biswas et al.
Summary: In this study, the concatenation model of birefringent fibers is investigated and optical soliton solutions to the model are presented for the first time. The method of undetermined coefficients is employed as the integration algorithm, which results in a wide range of soliton solutions. The parameter constraints emerge naturally during the derivation of the soliton solutions, playing a crucial role in their existence.
Article
Mathematics
Yakup Yildirim et al.
Summary: This paper investigates quiescent optical solitons, which are self-sustaining localized wave packets that maintain their shape and amplitude over long distances due to a balance between nonlinearity and dispersion. These solitons are observed in optical fibers and can be analyzed using different equations. The paper also discusses the phenomenon of nonlinear chromatic dispersion and presents various integration schemes and numerical simulations to retrieve and analyze these solitons.
Article
Optics
Ahmed H. H. Arnous et al.
Summary: This paper discusses optical solitons in the concatenation model with spatio-temporal and chromatic dispersions, which can effectively alleviate the Internet bottleneck. Two integration schemes for these solitons are proposed, and the conservation laws are derived using the multipliers approach.
JOURNAL OF THE EUROPEAN OPTICAL SOCIETY-RAPID PUBLICATIONS
(2023)
Article
Optics
Anjan Biswas et al.
Summary: In this paper, a complete range of 1-soliton solutions to the concatenation model with power-law self-phase modulation has been derived successfully using the method of undetermined coefficients. The resulting parameter constraints have been identified and listed, ensuring the existence of these solitons. It has been proven that specific types of dark solitons and singular solitons exist only when the power-law parameter equals unity.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2023)
Article
Optics
Akshat Kukkar et al.
Summary: This paper utilizes two of Kudryashov's methods to extract optical soliton solutions for the concatenation model, which consists of the nonlinear Schrödinger equation, Lakshmanan-Porsezian-Daniel model, and Sasa-Satsuma equation. A complete spectrum of soliton solutions is obtained, along with comprehensive presentation of parameter constraints.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2023)
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
Materials Science, Multidisciplinary
Usman Younas et al.
Summary: This paper examines the propagation of waves through magneto-optic waveguides using the generalized vector nonlinear Schrodinger's equation (NLSE). Two types of nonlinearities are studied, and exact solutions including various types of soliton solutions are obtained using the extended Fan-sub equation (EFSE) method. The significance of this approach lies in its ability to provide all solutions in a concise and efficient manner, as well as its applicability to more complex phenomena with symbolic computations.
RESULTS IN PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Yuya Shoji et al.
OPTICAL MATERIALS EXPRESS
(2018)
Article
Physics, Fluids & Plasmas
Adrian Ankiewicz et al.
Article
Physics, Multidisciplinary
Adrian Ankiewicz et al.
Article
Mathematics, Applied
Mohamed Hayek
APPLIED MATHEMATICS AND COMPUTATION
(2011)
Article
Mathematics, Applied
Sudao Bilige et al.
APPLIED MATHEMATICS AND COMPUTATION
(2010)
Article
Physics, Multidisciplinary
NA Kudryashov
Article
Mathematics, Interdisciplinary Applications
NA Kudryashov
CHAOS SOLITONS & FRACTALS
(2005)
Article
Optics
AD Boardman et al.
JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS
(2001)
