Results 91 to 100 of about 2,478 (193)

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

Geometric Analysis of η-Ricci Bourguignon Solitons on Para-Sasakian Manifolds With Semisymmetric Nonmetric Connection (SSNMC) on the Tangent Bundle

Journal of Mathematics
In this paper, we investigate the geometric properties of η-Ricci–Bourguignon (η-RB) solitons on para-Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Anowar Hussain Sadiyal   +3 more
doaj   +1 more source

Geometries and symmetries of soliton equations and integrable elliptic equations

Advanced Studies in Pure Mathematics, 2019
67 pages, to appear in Surveys on Geometry and Integrable Systems, Advanced Studies in Pure Mathematics, Mathematical Society of ...
openaire   +3 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

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

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

Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]

Sci Rep
Nasir B, Abbas M, Yousaf MZ, Nazir T, El-Rahman MA, Birhanu A.   +5 more
europepmc   +1 more source

Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]

Sci Rep
Shehab MF, Ahmed HM, Hussein HH.
europepmc   +1 more source

Exact wave structures in magneto-optic soliton channels governed by Kudryashov-type coupled Schrödinger dynamics. [PDF]

Sci Rep
Tarek A, Ahmed HM, Badra N, Samir I.
europepmc   +1 more source

Generation of multi-form exact wave solutions and linear stability analysis in the generalized (3+1)-D P-type plasma system using a modified extended mapping technique. [PDF]

Sci Rep
Ghayad MS, Ahmed HM, Badra NM, Rabie WB.
europepmc   +1 more source