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Optical solitons in DWDM system by extended trial equation method
Optik, 2017Abstract This paper obtains bright and singular optical solitons by the aid of extended trial equation approach. Both Kerr law and parabolic law of nonlinearity are considered. Solutions are obtained in terms of elliptic functions and in the limiting cases of the modulus of ellipticity, soliton solutions as well as periodic singular solutions fall ...
Mehmet Ekici +7 more
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Exact Solutions to Zakharov-Kuznetsov Equation with Variable Coefficients by Trial Equation Method
Zeitschrift für Naturforschung A, 2017Abstract By the trial equation method and the complete discrimination system for polynomial method, some exact solutions to Zakharov-Kuznetsov equation with variable coefficients are obtained. These solutions include solitary solutions, rational solutions, periodic solution and double periodic solutions.
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Foundations of Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng-shi Liu
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Cheng-shi Liu
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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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Optical solitons with Biswas–Milovic equation by extended trial equation method
Nonlinear Dynamics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Qin +4 more
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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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Optical soliton perturbation for Gerdjikov–Ivanov equation by extended trial equation method
Optik, 2018Abstract This paper obtains bright and singular optical soliton solutions to perturbed Gerdjikov–Ivanov equation by the aid of extended trial equation method. This work is an extension of the previously reported results where unperturbed version of the model was addressed.
Anjan Biswas +7 more
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Optik, 2018
Abstract This paper obtains optical soliton solution to perturbed Gerdjikov–Ivanov equation by trial equation approach. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also emerge of this integration scheme.
YAŞAR, EMRULLAH +8 more
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Abstract This paper obtains optical soliton solution to perturbed Gerdjikov–Ivanov equation by trial equation approach. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also emerge of this integration scheme.
YAŞAR, EMRULLAH +8 more
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AIP Conference Proceedings, 2014
In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method.
Zeynep Fidan Kocak +2 more
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In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method.
Zeynep Fidan Kocak +2 more
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