Results 221 to 230 of about 362,737 (245)
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Optical and Quantum Electronics, 2018
This paper retrieves, bright, dark and singular optical solitons with the help of extended trial equation scheme. We consider Kerr law, power law and log law of nonlinearity. We find the solutions in terms of Jacobi elliptic functions and in the limiting cases of the modulus of ellipticity.
Badar Nawaz +3 more
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This paper retrieves, bright, dark and singular optical solitons with the help of extended trial equation scheme. We consider Kerr law, power law and log law of nonlinearity. We find the solutions in terms of Jacobi elliptic functions and in the limiting cases of the modulus of ellipticity.
Badar Nawaz +3 more
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Optik, 2018
Abstract This paper employs extended trial function method to retrieve sub-pico-second optical soliton solutions to Kaup–Newell's equation that is one of the forms of derivative nonlinear Schrodinger's equation. Bright and singular soliton solutions are revealed with this algorithm.
Anjan Biswas +3 more
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Abstract This paper employs extended trial function method to retrieve sub-pico-second optical soliton solutions to Kaup–Newell's equation that is one of the forms of derivative nonlinear Schrodinger's equation. Bright and singular soliton solutions are revealed with this algorithm.
Anjan Biswas +3 more
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Traveling wave solutions by extended trial equation method
AIP Conference Proceedings, 2013This paper obtains soliton solutions, rational function, elliptic integral function F solution and Jacobi elliptic function solution by using the extended trial equation method based on the complete discrimination system for polynomial method. It is seen that this method is an effective mathematical tool for nonlinear differential equations.
Gurefe, Yusuf, Misirli, Emine
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Extended Trial Equation Method for Nonlinear Partial Differential Equations
Zeitschrift für Naturforschung A, 2015Abstract The main objective of this paper is to use the extended trial equation method to construct a series of some new solutions for some nonlinear partial differential equations (PDEs) in mathematical physics. We will construct the solutions in many different functions such as hyperbolic function solutions, trigonometric function ...
Khaled A. Gepreel, Taher A. Nofal
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A multiple extended trial equation method for the fractional Sharma-Tasso-Olver equation
AIP Conference Proceedings, 2013In this paper, a multiple extended trial equation method is proposed to seek exact solutions of nonlinear time-fractional equation. The validity and advantages of the proposed method are illustrated by its application to the Sharma-Tasso-Olver equation.
Pandir, Yusuf +2 more
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Nematicons in liquid crystals by extended trial equation method
Journal of Nonlinear Optical Physics & Materials, 2017This paper employs extended trial equation method to retrieve nematicons in liquid crystals from its governing equation. In addition, several other forms of solution naturally emerged from the integration algorithm. These are shock waves, singular solitons, snoidal waves, periodic singular waves, plane waves and others.
Mehmet Ekici +7 more
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Optical solitons with Biswas-Arshed equation by extended trial function method
Optik, 2019Abstract This paper studies soliton dynamics for Biswas-Arshed model that is considered when group velocity dispersion is negligibly small and self-phase modulation is totally absent. Two nonlinear forms for the model are studied by the aid of extended trial function scheme. Bright, dark and singular soliton solutions emerge from this scheme.
Mehmet Ekici, Abdullah Sonmezoglu
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Parallel propagation of dispersive optical solitons by extended trial equation method
Optik, 2017Abstract This paper applied extended trial equation algorithm to obtain dispersive optical solitons in DWDM system that is governed by the Schrodinger–Hirota equation with Kerr law nonlinearity. Bright and singular soliton solutions are reported.
Abdullah Sonmezoglu +7 more
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International Journal of Computer Mathematics, 2018
In this paper, we use the extended trial equation method (ETEM) to construct the exact solutions in many different functions such as the trigonometric function, elliptic integral function, ...
Khaled A. Gepreel +2 more
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In this paper, we use the extended trial equation method (ETEM) to construct the exact solutions in many different functions such as the trigonometric function, elliptic integral function, ...
Khaled A. Gepreel +2 more
openaire +1 more source