Results 251 to 260 of about 2,690,806 (313)

Extended Trial Equation Method for Nonlinear Partial Differential Equations

Zeitschrift für Naturforschung A, 2015
Abstract 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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Nematicons in liquid crystals by extended trial equation method

Journal of Nonlinear Optical Physics & Materials, 2017
This 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, Mohammad Mirzazadeh, Abdullah Sonmezoglu, Malik Zaka Ullah, Qin Zhou, Seithuti P. Moshokoa, Anjan Biswas, Milivoj Belic   +7 more
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Optical soliton perturbation with full nonlinearity for Gerdjikov–Ivanov equation by trial equation method

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, Belic, Milivoj, Moshokoa, Seithuti P., Zhou, Qin, Ullah, Malik Zaka, Alshomrani, Ali Saleh, Triki, Houria, Yildirim, Yakup, Biswas, Anjan   +8 more
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Optical soliton perturbation for Gerdjikov–Ivanov equation by extended trial equation method

Optik, 2018
Abstract 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, Mehmet Ekici, Abdullah Sonmezoglu, Fayequa B. Majid, Houria Triki, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic   +7 more
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Trial equation method for solving the generalized Fisher equation with variable coefficients

Physics Letters A, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Triki, Houria, Wazwaz, Abdul-Majid
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Optical solitons in DWDM system by extended trial equation method

Optik, 2017
Abstract 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, Abdullah Sonmezoglu, Qin Zhou, Anjan Biswas, Malik Zaka Ullah, Mir Asma, Seithuti P. Moshokoa, Milivoj Belic   +7 more
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Soliton solutions of Davey–Stewartson equation by trial equation method and ansatz approach

Nonlinear Dynamics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Mirzazadeh
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Exact Solutions to Zakharov-Kuznetsov Equation with Variable Coefficients by Trial Equation Method

Zeitschrift für Naturforschung A, 2017
Abstract 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.
Shu Yang
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Optical solitons with differential group delay by trial equation method

Optik, 2018
Abstract This paper secures bright, dark and singualr soliton solutions in birefringent fibers. Both Kerr law and parabolic law nonlinearity are studied. The trial equation method successfully retrieves these solitons with constraint relations that assure their existence.
Anjan Biswas, Yakup Yildirim, Emrullah Yasar, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic   +5 more
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Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method

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, Taher A. Nofal, Amera A. Al-Asmari   +2 more
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