Results 31 to 40 of about 2,690,806 (313)

Exact Solutions to Time-Fractional Fifth Order KdV Equation by Trial Equation Method Based on Symmetry

open access: yesSymmetry, 2019
We study a fifth order time-fractional KdV equation (FKdV) under meaning of the conformal fractional derivative. By trial equation method based on symmetry, we construct the abundant exact traveling wave solutions to the FKdV equation.
Taohua Liu
semanticscholar   +1 more source

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

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

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

Qualitative analysis and traveling wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with conformable fractional derivative

open access: yesElectronic Research Archive
This study aims to investigate the qualitative behavior analysis and traveling wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with conformable fractional derivative. The equation serves as a prominent physics-
Shan Zhao, Jun Feng
doaj   +1 more source

Time-decoupled high order continuous space-time finite element schemes for the heat equation [PDF]

open access: yes, 2014
Copyright © by SIAMIn Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 6685—6708 Werder et al. demonstrated that time discretizations of the heat equation by a temporally discontinuous Galerkin finite element method could be decoupled by diagonalising
Kruse, C, Shaw, S
core   +1 more source

A new version of trial equation method for a complex nonlinear system arising in optical fibers

open access: yesOptical and quantum electronics
In this study, the dissipation problem of nonlinear pulse in mono mode optical fibers which is governed by the Fokas system (FS) is considered. The solutions of this system have an important role in comprehending the different wave structures in physical
Ozlem Kirci   +3 more
semanticscholar   +1 more source

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

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

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