Results 21 to 30 of about 9,582 (250)

Be careful with variable separation solutions via the extended tanh-function method and periodic wave structures

open access: yesNonlinear Analysis, 2015
We analyze the extended tanh-function method to realize variable separation, however, we find that various "different" solutions obtained by this method are seriously equivalent to the general solution derived by the multilinear variable separation ...
Chaoqing Dai, Qin Liu
doaj   +3 more sources

A Generalized Tanh-Function Type Method and the(G'/G) -Expansion Method for Solving

open access: yesApplied Mathematics, 2013
In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We show that the (G'/G) -expansion method is a special case of the generalized tanh-function type method, so the (G'/G) -expansion method is considered as a special deformation application of the transformed rational function
openaire   +4 more sources

The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations

open access: yesResults in Physics, 2022
The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons,
Abdulla – Al – Mamun   +4 more
doaj   +3 more sources

Analytical construction and visualization of nonlinear waves in the (2+1) dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with stability analysis [PDF]

open access: yesScientific Reports
In this study, we investigate the (2+1)-dimensional Kadomtsev–Petviashvili–Sawada–Kotera–Ramani (KPSKR) equation, a physically significant model describing nonlinear wave phenomena in higher-dimensional spaces.
Mahy Ahmed   +3 more
doaj   +2 more sources

Optimizing Pigeon-Inspired Algorithm to Enhance Intrusion Detection System Performance Internet of Things Environments

open access: yesJOIV: International Journal on Informatics Visualization, 2023
Intrusion Detection Systems (IDS) are crucial in maintaining network security and safeguarding sensitive information against external and internal threats.
Fajar Ratnawati   +4 more
doaj   +1 more source

Non-local residual symmetry and soliton-cnoidal periodic wave interaction solutions of the KdV6 equation

open access: yesFrontiers in Physics, 2023
The residual symmetry of the KdV6 equation is obtained by the Painlevé truncate expansion. Since the residual symmetry is non-local, five field quantities are introduced to localize it into the local one.
Luwei Zhang   +4 more
doaj   +1 more source

Adequate wide-ranging closed-form wave solutions to a nonlinear biological model

open access: yesPartial Differential Equations in Applied Mathematics, 2021
The auxiliary equation method and the extended tanh function method are put in use to establish wide-ranging, further general and standard closed-form traveling wave solutions to the time fractional nonlinear biological model.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
doaj   +1 more source

Modified extended tanh-function method and nonlinear dynamics of microtubules [PDF]

open access: yesChaos, Solitons & Fractals, 2012
20 pages, 6 ...
Zdravković, Slobodan   +4 more
openaire   +4 more sources

Constructions of the soliton solutions to coupled nonlinear Schrödinger equation with advanced mathematical techniques

open access: yesAIP Advances, 2023
In our research paper, we explore the application of mathematical techniques, both analytical and numerical, to solve the coupled nonlinear Schrödinger equation.
Taghread Ghannam Alharbi   +1 more
doaj   +1 more source

Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

open access: yesNonlinear Engineering, 2021
In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions.
Ali Khalid K.   +2 more
doaj   +1 more source

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