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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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A New Trial Equation Method and Its Applications
Communications in Theoretical Physics, 2006As an improved version of trial equation method, a new trial equation method is proposed. Using this method, abundant new exact traveling wave solutions to a high-order KdV–type equation are obtained.
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Exact solutions of the time-fractional Fisher equation by using modified trial equation method
AIP Conference Proceedings, 2016In this study, modified trial equation method has been proposed to obtain precise solutions of nonlinear fractional differential equation. Using the modified test equation method, we obtained some new exact solutions of the time fractional nonlinear Fisher equation. The obtained results are classified as a soliton solution, singular solutions, rational
Yusuf Ali Tandogan, Necdet Bildik
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Optical soliton perturbation with full nonlinearity by trial equation method
Optik, 2018Abstract This paper studies optical soliton perturbation with spatio-temporal dispersion by trial equation method. There are five types of nonlinear fibers studied in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law, triple-power law and log-law. Bright, dark and singular soliton solutions are recovered. In addition,
YAŞAR, EMRULLAH +8 more
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Trial solution methods to solve the hyperbolic heat conduction equation
International Communications in Heat and Mass Transfer, 2000Abstract Trial solution methods combined with Laplace transformation technique are used to present an analytic approximate solution for the hyperbolic heat conduction (HHC) equation. The trial solution methods used in this work are weighted residual methods and Ritz variational method.
S. Kiwan, M. Al-Nimr, M. Al-Sharo'a
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A generalized trial solution method for solving the aerosol equation
Annals of Nuclear Energy, 1988Abstract It is shown how the introduction of orthogonal functions together with a time-dependent scaling factor may be used to develop a generalized trial solution method for tackling the aerosol equation. The approach is worked out in detail for the case where the initial particle size spectrum follows a γ-distribution, and it is shown to be a ...
S. Simons, D.R. Simpson
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A numerical approach for Camassa-Holm equation using extended trial equation method
2021In 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 +1 more
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Optical solitons with differential group delay by trial equation method
Optik, 2018Abstract 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 +5 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
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Meta‐analysis combining parallel and crossover trials using generalised estimating equation method
Research Synthesis Methods, 2017Clinical trials have different designs: In late stage drug development, the parallel trial design is the most frequent one; however, the crossover design is not rare; different techniques are used to analyse their results. Although both designs measure the same treatment effect, combining parallel and crossover trials in a meta‐analysis is not ...
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