Results 271 to 280 of about 2,690,806 (313)

Exact solutions of non-linear Klein–Gordon equation with non-constant coefficients through the trial equation method

Journal of Mathematical Chemistry, 2021
J. Macías-Díaz, M. G. Medina–Guevara, H. Vargas-Rodríguez   +2 more
semanticscholar   +1 more source

A generalized trial solution method for solving the aerosol equation

Annals of Nuclear Energy, 1988
Abstract 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
openaire   +1 more source

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
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Optical envelope patterns perturbation with full nonlinearity for Gerdjikov–Ivanov equation by trial equation method

, 2021
Jin-Yan Hu, Xiaomei Feng, Yun-feng Yang
semanticscholar   +1 more source

Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics

Foundations of Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Optical envelope patterns in quadratic–cubic nonlinear medium by trial equation method

, 2021
Jin-Yan Hu, Yuqi Tian, Yun-feng Yang
semanticscholar   +1 more source

Meta‐analysis combining parallel and crossover trials using generalised estimating equation method

Research Synthesis Methods, 2017
Clinical 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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EXTENDED TRIAL EQUATION METHOD AND APPLICATIONS TO SOME NONLINEAR PROBLEMS

2019
The research has been supported by the Yozgat University Foundation.
Postolache M., Gurefe Y., Sonmezoglu A., Ekici M., Misirli E.   +4 more
openaire   +2 more sources

APPLICATION OF THE EXTENDED TRIAL EQUATION METHOD TO THE NONLINEAR EVOLUTION EQUATIONS

2015
In this paper we investigate the exact solutions of the nonlinearpartial differential equations. We have applied the extended trial equationmethod to nonlinear partial differential equations. By using this method wehave successfully obtained analytical solutions of the two-dimensional Bratutype equation. We think that this method can also be applied to
ODABAŞI, MERYEM, , EMİNEMISIRLI
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Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous: Mathematical Discussions and Its Applications

Communications in Theoretical Physics, 2006
A trial equation method to nonlinear evolution equation with rank inhomogeneous is given. As applications, the exact traveling wave solutions to some higher-order nonlinear equations such as generalized Boussinesq equation, generalized Pochhammer?Chree equation, KdV-Burgers equation, and KS equation and so on, are obtained.
openaire   +1 more source