Results 111 to 120 of about 48,721 (216)

Further quality analytical investigation on soliton solutions of some nonlinear PDEs with analyses: Bifurcation, sensitivity, and chaotic phenomena

Alexandria Engineering Journal
In this investigation, the analytical behavior of two prominent nonlinear wave equations, namely the doubly dispersive equation (DDE) and the Ablowitz-Kaup-Newell-Segur equation (AKNSE), have been scrutinized. Bifurcation analysis, sensitivity as well as
M. Akher Chowdhury, M. Mamun Miah, Md Mamunur Rasid, Sadique Rehman, J.R.M. Borhan, Abdul-Majid Wazwaz, Mohammad Kanan   +6 more
doaj   +1 more source

Time-dependent defects in integrable soliton equations. [PDF]

Proc Math Phys Eng Sci, 2020
Xia B, Zhou R.
europepmc   +1 more source

Comprehensive study of stochastic soliton solutions in nonlinear models with application to the Davey Stewartson equations

Scientific Reports
This article investigates the stochastic Davey–Stewartson equations influenced by multiplicative noise within the framework of the It $$\hat{o}$$ calculus.
Yasir A. Madani, Shabbir Hussain, Mohammed A. Almalahi, Blgys Muflh, Khaled A. Aldwoah, Mukhtar Y. Y. Abdalla   +5 more
doaj   +1 more source

Fractional and Integrable Perspectives on a Variable-Coefficient Semi-Discrete NLS Equation: Analytical Method and Engineering Applications

Fractal and Fractional
The method of deriving fractional-order differential equations using Riesz fractional-order calculus is a new breakthrough, and it is possible to use the inverse scattering transform (IST) to solve the analytical solutions of the derived equations ...
Sen Zhao, Sheng Zhang, Bo Xu
doaj   +1 more source

On Soliton Equations of Exceptional Type

Journal of Algebra, 1994
The explicit structure of soliton equations in bilinear form is studied. The equations studied are those corresponding to A-D-E-type Kac-Moody algebra in the basic representation \(L(\Lambda_ 0)\), with principal or homogeneous realization. Using results of Kac-Wakimoto, describing these equations with a generalized Casimir operator, the author is able
openaire   +2 more sources

The Investigation of Nonlinear Time-Fractional Models in Optical Fibers and the Impact Analysis of Fractional-Order Derivatives on Solitary Waves

Fractal and Fractional
In this article, we investigate a couple of nonlinear time-fractional evolution equations, namely the cubic-quintic-septic-nonic equation and the Davey–Stewartson (DS) equation, both of which have significant applications in complex physical phenomena ...
Muhammad Idrees Afridi, Tamanna Islam, Md Ali Akbar, Mohamed S. Osman   +3 more
doaj   +1 more source

Curvature and Solitonic Structures of Para-Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics
This paper investigates the complete lift of para-Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam   +2 more
doaj   +1 more source

Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media

Boundary Value Problems
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.
Alwaleed Kamel, Hanen Yossef Louati, Khaled Aldwoah, Faez Alqarni, Mohammed Almalahi, Manel Hleili   +5 more
doaj   +1 more source

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source