Results 31 to 40 of about 13,219,076 (270)

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

Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]

open access: yes, 2009
The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
core   +4 more sources

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

open access: yesResults in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +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

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

TRIAL EQUATION METHOD FOR THE VARIANT BOUSSINESQ EQUATIONS

open access: yesFar East Journal of Dynamical Systems, 2014
Trial equation method was used to obtain exact traveling wave solutions for the variant Boussinesq equations.
openaire   +2 more sources

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

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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