Zobrazeno 1 - 10
of 700
pro vyhledávání: '"The auxiliary equation method"'
Autor:
Ali Althobaiti
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30972-30988 (2024)
This study examines a class of Boussinesq equations with sixth-order using two promising analytical methods. The equation in question is among the frontier evolution equations with significant relevance in nonlinear lattice dynamics. To study this mo
Externí odkaz:
https://doaj.org/article/7adfafb0d7a14f629ebbc9c94f54e641
Autor:
M. Atta Ullah Khan, Maasoomah Sadaf, Ghazala Akram, Asnake Birhanu, Kashif Rehan, Y. S. Hamed
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-18 (2024)
Abstract The captivating realm of the nonlinear coupled Davey–Stewartson Fokas system is explored in this research paper. As a powerful tool, the proposed system is utilized for the realistic representation of various non-linear dynamical mechanism
Externí odkaz:
https://doaj.org/article/26399baa98c04e09a57962411cd9bb60
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media
Autor:
Alwaleed Kamel, Hanen Yossef Louati, Khaled Aldwoah, Faez Alqarni, Mohammed Almalahi, Manel Hleili
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-14 (2024)
Abstract The Chaffee–Infante (CI) equation is a nonlinear equation that may be used to predict the complex dynamics of soliton propagation in a nonlinear optical medium. In this study, we elucidate soliton solutions of the CI equation by stochastic
Externí odkaz:
https://doaj.org/article/44d43822e08941f49708479b6c47fa16
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100923- (2024)
We propose a Lie group method to discuss the modified KP equation appearing in Thomas–Fermi (TM) plasma, characterised by cold and hot electrons. The Lie method facilitates the identification of similarity reductions, infinitesimal symmetries, grou
Externí odkaz:
https://doaj.org/article/1579836f69e34327addf90164f73e9e9
Autor:
Waqas Ali Faridi, Mujahid Iqbal, Muhammad Bilal Riaz, Salman A. AlQahtani, Abdul-Majid Wazwaz
Publikováno v:
Alexandria Engineering Journal, Vol 95, Iss , Pp 247-261 (2024)
In light of fractional theory, this paper presents several new effective solitonic formulations for the Langmuir and ion sound wave equations. Prior to this study, no previous research has presented the comparision and obtained the generalized fracti
Externí odkaz:
https://doaj.org/article/75ec1b1f351b45a78ea569bad7bc55e0
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp 3699-712 (2024)
The KdV–mKdV equation is investigated in this study. This equation is a useful tool to model many nonlinear phenomena in the fields of fluid dynamics, quantum mechanics, and soliton wave theory. The exact soliton solutions of the KdV–mKdV equatio
Externí odkaz:
https://doaj.org/article/94f3844c5cc24a929f0f7c53ab94d118
Akademický článek
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Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100857- (2024)
This paper presents a Lie group analysis of the Schamel Burger’s equation, notable for producing shock-type traveling waves in distinctive physical contexts. We determine the infinitesimal generators for this equation using the Lie group theory of
Externí odkaz:
https://doaj.org/article/e278d429fa19491bb8306bffb2a68727
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 8, Pp 102864- (2024)
In this research, we present a new auxiliary equation approach, which uses two distinct fractional derivatives: β- and M-truncated fractional derivatives to explore the space-time fractional Peyrard-Bishop DNA dynamic model equation. This examines t
Externí odkaz:
https://doaj.org/article/cd47027dad71468797aa527416942717
Publikováno v:
Results in Engineering, Vol 22, Iss , Pp 102194- (2024)
This article presents a study on the generalized Korteweg-de Vries-Zakharov-Kuznetsov (gKdV-ZK) model, which is a nonlinear system that demonstrates the effect of magnetic fields on weak ion-acoustic waves in plasma consisting of cold and hot electro
Externí odkaz:
https://doaj.org/article/25717e8c4ba7415aa1251204ad13549f