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Your search keyword '"Esma Ates"' showing total 3 results
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3 results on '"Esma Ates"'

1. The complex Ginzburg Landau equation in kerr and parabolic law media

Author

Esma Ates

Subjects
Solitons, Jacobi elliptic functions, complex Ginzburg-Landau equation, Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939
Abstract

This paper study the complex Ginzburg-Landau equation with two different forms of nonlinearity. The Jacobi elliptic ansatz method is used to obtain the optical soliton solutions of this equation in the kerr and parabolic law media. Bright and dark optical soliton solutions are acquired as well as Jacobi elliptic function solutions. The existence criteria of these solutions are also indicated.

Published
2020
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2. Optical solitons in multiple-core couplers with the nearest neighbors linear coupling

Author

Maysaa Mohamed Al Qurashi, Esma Ates, and Mustafa Inc

Subjects
Physics, Parabolic law, Elliptic function, Physics::Optics, 01 natural sciences, Power law, Atomic and Molecular Physics, and Optics, Linear coupling, Electronic, Optical and Magnetic Materials, Jacobi elliptic functions, Core (optical fiber), Constraint (information theory), Nonlinear system, Quantum mechanics, 0103 physical sciences, Electrical and Electronic Engineering, 010306 general physics, Nonlinear Sciences::Pattern Formation and Solitons, 010301 acoustics
Abstract

This paper addresses a type of nonlinear directional optical couplers with four different forms, namely the Kerr law, power law, parabolic law and dual-power law. The multiple-core couplers with the nearest neighbors linear coupling is studied with four forms of nonlinearity. Bright and dark optical solitons are obtained as well as Jacobi elliptic function solutions. The constraint conditions are acquired for the existence of solitons.

Published
2017
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3. Optical solitons of the coupled nonlinear Schrödinger’s equation with spatiotemporal dispersion

Author

Mustafa Inc, Esma Ates, and Fairouz Tchier

Subjects
Physics, Work (thermodynamics), Applied Mathematics, Mechanical Engineering, Elliptic function, Aerospace Engineering, Ocean Engineering, 01 natural sciences, Power law, Jacobi elliptic functions, Nonlinear system, symbols.namesake, Classical mechanics, Control and Systems Engineering, 0103 physical sciences, Dispersion (optics), symbols, Soliton, Electrical and Electronic Engineering, 010306 general physics, Nonlinear Sciences::Pattern Formation and Solitons, 010301 acoustics, Schrödinger's cat
Abstract

In this work, the coupled nonlinear Schrodinger’s equation (CNLSE) is studied with four forms of nonlinearity. The nonlinearities that are considered in this paper are the Kerr law, power law, parabolic law and dual-power law. Jacobi elliptic function solutions and also bright and dark optical soliton solutions are obtained for each law of the CNLSE. We will acquire constraint conditions for the existence of obtained solitons.

Published
2016
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