Results 101 to 110 of about 14,211,873 (126)

A multiple extended trial equation method for the fractional Sharma-Tasso-Olver equation

AIP Conference Proceedings, 2013
In 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, Gurefe, Yusuf, Misirli, Emine   +2 more
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EXTENDED TRIAL EQUATION METHOD AND APPLICATIONS TO SOME NONLINEAR PROBLEMS

, 2014
In this paper, we introduce the extended trial equation method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational, elliptic integral function, Jacobi elliptic function solutions to the (N+1)-dimensional sine-cosine-Gordon equation and the KdV equation with dual ...
Postolache M., Gurefe Y., Sonmezoglu A., Ekici M., Misirli E.   +4 more
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Optical solitons with Biswas–Milovic equation by extended trial equation method

Nonlinear Dynamics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Qin, Ekici, M., Sonmezoglu, A., Mirzazadeh, M., Eslami, M.   +4 more
openaire   +4 more sources

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
openaire   +3 more sources

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
openaire   +3 more sources

Optical solitons with anti-cubic nonlinearity by extended trial equation method

Optik, 2017
Abstract The extended trial equation method is applied to extract bright and singular optical solitons, with anti-cubic nonlinearity, in addition to singular periodic and doubly periodic solutions. The results of this paper are generalized and extended versions of previously reported solutions.
Mehmet Ekici, Mohammad Mirzazadeh, Abdullah Sonmezoglu, Malik Zaka Ullah, Qin Zhou, Houria Triki, Seithuti P. Moshokoa, Anjan Biswas   +7 more
openaire   +3 more sources

A numerical approach for Camassa-Holm equation using extended trial equation method

, 2021
In this article, we attempt to solve the Camassa-Holm equation using extended trial equation method (ETEM). The validity and applicability of the method are operated for two different cases of the relationship equation obtained as a result of balance principle. Finally, we obtain single kink and hyperbolic function solution of the problem.
Karaaslan, Mehmet Fatih, Kurulay, Muhammet   +1 more
openaire   +2 more sources

Parallel propagation of dispersive optical solitons by extended trial equation method

Optik, 2017
Abstract 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, Mehmet Ekici, Ahmed H. Arnous, Qin Zhou, Seithuti P. Moshokoa, Malik Zaka Ullah, Anjan Biswas, Milivoj Belic   +7 more
openaire   +2 more sources

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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Optical soliton for perturbed nonlinear fractional Schrödinger equation by extended trial function method

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, Syed Tahir Raza Rizvi, Kashif Ali, Muhammad Younis   +3 more
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