Results 21 to 30 of about 13,219,076 (270)

Dynamics and optical solitons in polarization-preserving fibers for the cubic–quartic complex Ginzburg–Landau equation with quadratic–cubic law nonlinearity

open access: yesResults in Physics, 2023
In this paper, the cubic–quartic complex Ginzburg–Landau (CGL) equation is investigated by using the trial function method. The traveling wave hypothesis is applied to convert the CGL equation to an ordinary differential equation (ODE), which is ...
Chen Peng, Zhao Li
doaj   +1 more source

Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
The meshless Fragile Points method (FPM) is applied to find the numerical solutions of the Schrödinger equation on arbitrary domains. This method is based on Galerkin’s weak-form formulation, and the generalized finite difference method has been used to ...
D. Haghighi, S. Abbasbandy, E. Shivanian
doaj   +1 more source

A second order convergent trial method for a free boundary problem in three dimensions [PDF]

open access: yes, 2015
The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
core   +1 more source

Kajian Metode Secant dalam Persamaan Tahapan Standar untuk Menyelesaikan Profil Aliran Berubah Beraturan

open access: yesTeknologi dan Kejuruan, 2009
There are some techniques in calculating the reguler-changed flows, for instance the equation of standard phase that uses trial and error calculations . Some method then is developed from Newton-Raphson method, namely SECANT method.
Pribadi Pribadi
doaj   +1 more source

Can we identify non-stationary dynamics of trial-to-trial variability?" [PDF]

open access: yes, 2014
Identifying sources of the apparent variability in non-stationary scenarios is a fundamental problem in many biological data analysis settings. For instance, neurophysiological responses to the same task often vary from each repetition of the same ...
Alejandro Tabas-Diaz   +11 more
core   +1 more source

Improved trial methods for a class of generalized Bernoulli problems [PDF]

open access: yes, 2013
The aim of this article is to develop improved trial methods for the solution of a generalized exterior Bernoulli free boundary problem. At the free boundary, we prescribe the Neumann boundary condition and update the free boundary with the help of the ...
Mitrou, Giannoula, Harbrecht, Helmut
core   +1 more source

The Modified Trial Equation Method to the Van der Waals Model

open access: yesAfyon Kocatepe University Journal of Sciences and Engineering, 2021
In this research, the modified trial equation method (MTEM) is considered in order to find some exact solutions of the van der Waals model. In addition, to finding the solution of the van der Waals model this method can be used in the solution of nonlinear problems. Thus, some wave solutions for various situations are obtained.
Tülüce Demiray, Şeyma, Duman, Şerife
openaire   +4 more sources

Optical solitons and envelop propagation patterns in birefringent polarization-preserving fiber

open access: yesResults in Physics, 2019
The optical propagation in the birefringence polarization-preserving fiber is modeled by the nonlinear Schrödinger equations system including the effect of four-wave mixing. A general trial equation method for complex coupled system is introduced to give
Si-Yu Du
doaj   +1 more source

Exact single traveling wave solutions to generalized (2+1)-dimensional Gardner equation with variable coefficients

open access: yesResults in Physics, 2019
We firstly apply the trial equation method to generalized (2+1)-dimensional Gardner equation to reduce the nonlinear partial differential equation into ordinary equation.
Yue Kai   +3 more
doaj   +1 more source

Dynamical behaviours and soliton solutions of the conformable fractional Schrödinger–Hirota equation using two different methods

open access: yesJournal of Taibah University for Science, 2022
The nonlinear conformable fractional Schrödinger–Hirota (NCFSH) equation, describing the propagation of optical solitons in a dispersive optical fibre, is considered and its exact solutions are investigated.
Meryem Odabasi Koprulu
doaj   +1 more source

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