Zobrazeno 1 - 10
of 305
pro vyhledávání: '"generalized Riccati equation"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 32366-32398 (2024)
In this paper, diverse wave solutions for the newly introduced (3+1)-dimensional Painlevé-type evolution equation were derived using the improved generalized Riccati equation and generalized Kudryashov methods. This equation is now widely used in so
Externí odkaz:
https://doaj.org/article/298036a7c09b4505b280c32c9106a2c9
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-15 (2024)
Abstract This research work focuses on investigating the propagation of ultrasonic waves, which propagate mechanical vibrations of molecules or particles inside materials. Ultrasound imaging is extensively used and deeply rooted in the medical field.
Externí odkaz:
https://doaj.org/article/3312bb727674489eb4bb332b93eddfc4
Publikováno v:
Alexandria Engineering Journal, Vol 105, Iss , Pp 402-413 (2024)
This paper investigates the dynamics of soliton interactions in higher-order nonlinear Schrödinger equation, which are commonly used to model multimode wave propagation in various physical scenarios, including nonlinear optics and shallow water. We
Externí odkaz:
https://doaj.org/article/a66853eb22fc4d7388d0da0202a17757
Publikováno v:
Alexandria Engineering Journal, Vol 114, Iss , Pp 507-525 (2025)
The model is noteworthy for its nonlinearity and ability to describe the propagation of nonlinear waves inside the elastic, inhomogeneous Murnaghan’s rod equation. The fractional nonlinear doubly dispersive equation is applied in physics to model w
Externí odkaz:
https://doaj.org/article/2289f0cc4af945e4af0cc99ac24edd78
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100916- (2024)
This article secures the various wave structures of the fractional double dispersive equation, a significant nonlinear equation that describes the propagation of nonlinear waves within the elastic, uniform, and inhomogeneous Murnaghan’s rod. The mo
Externí odkaz:
https://doaj.org/article/f3304f0b4e00403f9395c375887c0048
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 10, Pp 102971- (2024)
We study the comparative exact solutions of the Kairat-II equation describing the physical behaviors of nonlinear systems. The newly introduced Kairat equation has numerous applications in the fields of plasma physics, optical communications, differe
Externí odkaz:
https://doaj.org/article/aa6de7b004f140958288fa270db6ca4c
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
Autor:
Jawaz, Muhammad a, Macías-Díaz, Jorge E. b, c, ⁎, Aqeel, Syed A. a, Ahmed, Nauman a, d, Baber, Muhammad Z. a, Medina-Guevara, María G. c, e
Publikováno v:
In Partial Differential Equations in Applied Mathematics March 2025 13
Publikováno v:
Symmetry, Vol 16, Iss 8, p 1085 (2024)
Nonlinear distinct models have wide applications in various fields of science and engineering. The present research uses the mapping and generalized Riccati equation mapping methods to address the exact solutions for the nonlinear Klein–Gordon equa
Externí odkaz:
https://doaj.org/article/b713c1c29c2e4616814952eb69c8b2db
Autor:
M.N. Islam, M.G. Hafez
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100628- (2024)
The Burgers equations involving quadratic, cubic, and both quadratic and cubic nonlinearity are derived by assuming the appropriate stretching to describe the propagation of electrostatic shock and oscillatory waves in a coupled complex plasma having
Externí odkaz:
https://doaj.org/article/7428bd7a18114dc6a875bb31af14002c