Zobrazeno 1 - 10
of 4 693
pro vyhledávání: '"Jacobi elliptic"'
Publikováno v:
Alexandria Engineering Journal, Vol 107, Iss , Pp 61-72 (2024)
In this article, we determine various analytical solutions for the (4+1)-dimensional Fokas equation, a significant model in mathematical physics with numerous applications in nonlinear dynamics. Utilizing multiple integration techniques such as the i
Externí odkaz:
https://doaj.org/article/e4fb06a476784d5883807a6c5d096321
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-25 (2024)
Abstract The current paper undertakes an in-depth exploration of the dynamics of nonlinear waves governed by a 3D-modified nonlinear wave equation, a significant model in the study of complex wave phenomena. To this end, the study employs both classi
Externí odkaz:
https://doaj.org/article/d8b2708f61b24e1cb703ed50fed013a8
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-20 (2024)
Abstract This study presents a comprehensive analysis of a nonlinear telecommunications model, exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian techniques. The investigation begins with a thorough examination of bif
Externí odkaz:
https://doaj.org/article/250450d6887d48119f9e78676223cf54
Autor:
Wael W. Mohammed, Farah M. Al-Askar
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 20467-20481 (2024)
In this research, we are examining the stochastic modified Korteweg-de Vries (SMKdV) equation forced in the Itô sense by multiplicative noise. We use an appropriate transformation to convert the SMKdV equation to another MKdV equation with random va
Externí odkaz:
https://doaj.org/article/bd1ed7cef68943148ab1328168ee63db
Autor:
Akhtar Hussain, Tarek F. Ibrahim, F. M. Osman Birkea, Abeer M. Alotaibi, Bushra R. Al-Sinan, Herbert Mukalazi
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
Abstract Despite the historical position of the F-expansion method as a method for acquiring exact solutions to nonlinear partial differential equations (PDEs), this study highlights its superiority over alternative auxiliary equation methods. The ef
Externí odkaz:
https://doaj.org/article/f981fa4f9329484c9a5dae91c82b8762
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100883- (2024)
In this paper, an improvement for the ϕ6-model expansion method is presented. In this approach, contrary to the classical ϕ6-model expansion method, obtaining explicit solutions for nonlinear ordinary and partial differential equations is congenial
Externí odkaz:
https://doaj.org/article/e967e10f225840d9a6e1ac5372c17fb0
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp 437-46 (2024)
In this article, the modified extended direct algebraic method is implemented to investigate the strain wave model that governs the wave propagation in micro-structured solids. The proposed method provides many new exact traveling wave solutions with
Externí odkaz:
https://doaj.org/article/9825a08522c0483faa97f44074d8a0dc
Autor:
Rehab M. El-Shiekh, Mahmoud Gaballah
Publikováno v:
Alexandria Engineering Journal, Vol 86, Iss , Pp 548-555 (2024)
In this paper, a new extension of the perturbed nonlinear Chen-Lee-Liu equation as a variable coefficients model represents optical pulse propagation in a monomode fiber is studied. The direct similarity reduction method is used to transform the Chen
Externí odkaz:
https://doaj.org/article/1616854309e345048884f29c32e83c6e
Publikováno v:
Results in Physics, Vol 59, Iss , Pp 107604- (2024)
Using the Jacobi elliptic function expansion method, which is improved by the novel use of truncated M-fractional derivatives, we thoroughly analyze the improved modified Korteweg-de Vries problem in this paper. Not only does this method provide new
Externí odkaz:
https://doaj.org/article/8f9a953cd01c4d50b6d2e3c2f8f95402
Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation
Publikováno v:
Results in Physics, Vol 58, Iss , Pp 107503- (2024)
The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magne
Externí odkaz:
https://doaj.org/article/1905c188caae4ceb9e4d1dc4e29394eb