Zobrazeno 1 - 10
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pro vyhledávání: '"(G'/G) -expansion method"'
Autor:
Abdulah A. Alghamdi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 23100-23127 (2024)
This research explored optical soliton solutions for the (2+1)-dimensional generalized fractional Kundu-Mukherjee-Naskar equation (gFKMNE), which is a nonlinear model for explaining pulse transmission in communication structures and optical fibers. T
Externí odkaz:
https://doaj.org/article/6a4852d7537346ef8d2701f24f7c0188
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 10, Pp 102935- (2024)
Nonlinear fractional partial differential equations can explain a vast scope of engineering and science, like atomic physics, wireless transmission, nonlinear optics, acoustics, economics, materials science, control theory, plasma physics, quantum pl
Externí odkaz:
https://doaj.org/article/85822cd1df62441fbfd9ac7075af5467
Autor:
Jian-Guo Liu
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract The (3 + 1)-dimensional Painlevé integrable equation are a class of nonlinear differential equations with special properties, which play an important role in nonlinear science and are of great significance in solving various practical probl
Externí odkaz:
https://doaj.org/article/cb708daf8b8b49138f064df495049cfc
Autor:
Khalid K. Ali, Weam G. Alharbi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15202-15222 (2024)
This paper presents a significant contribution in the form of a new general equation, namely the $ \mathfrak{q} $-deformed equation or the $ \mathfrak{q} $-deformed tanh-Gordon equation. The introduction of this novel equation opens up new possibilit
Externí odkaz:
https://doaj.org/article/dcd4b8ef16b74372baf94292ffecbf49
Autor:
Abaker Hassaballa, Mohyaldein Salih, Gamal Saad Mohamed Khamis, Elzain Gumma, Ahmed M. A Adam, Ali Satty
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
This paper focusses on the nonlinear fractional Kadomtsev–Petviashvili (FKP) equation in space–time, employing the conformable fractional derivative (CFD) approach. The main objective of this paper is to examine the application of the (G’/G)-ex
Externí odkaz:
https://doaj.org/article/8772edd7874843ec8154c4e06284ebc5
Autor:
J. R. M. Borhan, I. Abouelfarag, K. El-Rashidy, M. Mamun Miah, M. Ashik Iqbal, Mohammad Kanan
Publikováno v:
Computation, Vol 12, Iss 8, p 161 (2024)
In this research article, we demonstrate the generalized expansion method to investigate nonlinear integro-partial differential equations via an efficient mathematical method for generating abundant exact solutions for two types of applicable nonline
Externí odkaz:
https://doaj.org/article/a6ea699b4d2c4af8a31761a25c0227a6
Akademický článek
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Autor:
Farah M. Al-Askar
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
Here, we consider the stochastic (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation which is forced by the multiplicative Brownian motion in the Stratonovich sense. We utilize the (G′/G)-expansion method and the mapping method to atta
Externí odkaz:
https://doaj.org/article/8ffa3ad44cba490b9a12c66cf9f2435e
Publikováno v:
Alexandria Engineering Journal, Vol 66, Iss , Pp 97-105 (2023)
The Schrödinger equation is an essential model in quantum mechanics. It simulates fascinating nonlinear physical phenomena, such as shallow-water waves, hydrodynamics, harmonic oscillator, nonlinear optics, and quantum condensates. The purpose of th
Externí odkaz:
https://doaj.org/article/da1f20e641ad460eb917b3142098b409
Publikováno v:
Alexandria Engineering Journal, Vol 65, Iss , Pp 233-243 (2023)
In this article, the three-dimensional conformal time derivative generalized q- deformed Sinh–Gordon equation is discussed analytically and numerically using the (G′/G)-expansion approach and finite element method respectively. The analytical met
Externí odkaz:
https://doaj.org/article/be8964b2d02842df9400e1e6c864df4f