Results 21 to 30 of about 665,380 (279)

Exact chirped solutions of perturbed Chen-Lee-Liu equation with refractive index

open access: yesHeliyon, 2023
We study the exact chirped solutions of the perturbed Chen-Lee-Liu equation with a refractive index. Exact chirped solutions and their corresponding chirps are obtained using trial equation method and complete discrimination system for polynomial ...
Wenjing Zhang
doaj   +1 more source

Accuracy of Approximate Eigenstates [PDF]

open access: yes, 1999
Besides perturbation theory, which requires, of course, the knowledge of the exact unperturbed solution, variational techniques represent the main tool for any investigation of the eigenvalue problem of some semibounded operator H in quantum theory.
Eichten E. J.   +7 more
core   +5 more sources

Exact dynamical behavior for a dual Kaup–Boussinesq system by symmetry reduction and coupled trial equations method

open access: yesAdvances in Difference Equations, 2019
We propose a coupled trial equation method for a coupled differential equations system. Furthermore, according to the invariant property under the translation, we give the symmetry reduction of a dual Kaup–Boussinesq system, and then we use the proposed ...
Wen-He Li, Yong Wang
doaj   +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   +3 more sources

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

open access: yesEntropy, 2015
In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions ...
Seyma Tuluce Demiray, Hasan Bulut
doaj   +1 more source

On novel resonant multi-soliton and wave solutions to the (3+1)-dimensional GSWE equation via three effective approaches

open access: yesResults in Physics, 2021
In this paper, the generalized shallow water equation (GSWE) is carefully investigated via three state-of-the-art integration schemes, namely the simplified linear superposition principle, velocity resonance, and the trial function method, respectively ...
Chun-Ku Kuo, Behzad Ghanbari
doaj   +1 more source

Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

open access: yesAbstract and Applied Analysis, 2012
We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir   +3 more
doaj   +1 more source

Characteristics and equation of accounting vocational theory trial test items for vocational high schools by subject-matter teachers' forum

open access: yesREID (Research and Evaluation in Education), 2018
This study is aimed at: (1) understanding the characteristics of Accounting Vocational Theory trial test items using the Item Response Theory and (2) determining the horizontal equation of Accounting Vocational Theory trial exam instruments.
Dian Normalitasari Purnama
doaj   +1 more source

A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization

open access: yes, 2013
A deterministic method is proposed for solving the Boltzmann equation. The method employs a Galerkin discretization of the velocity space and adopts, as trial and test functions, the collocation basis functions based on weights and roots of a Gauss ...
Ghiroldi, Gian Pietro, Gibelli, Livio
core   +1 more source

Solitons and other solutions to Wu–Zhang system

open access: yesNonlinear Analysis, 2017
This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves and singular solitary waves solutions.
Mohammad Mirzazadeh   +5 more
doaj   +1 more source

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