Results 141 to 150 of about 6,812 (242)

On geometric phases for soliton equations [PDF]

, 1992
This paper develops a new complex Hamiltonian structure forn-soliton solutions for a class of integrable equations such as the nonlinear Schrödinger, sine-Gordon and Korteweg-de Vries hierarchies of equations that yields, amongst other things, geometric
Marsden, J. E., Alber, M. S.
core  

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

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

Soliton solutions for the nonlinear Zoomeron equation applying the modified Khater method. [PDF]

Sci Rep
Saleem A, Abbas M, El-Rahman MA, Birhanu A, Yousaf MZ, Ahmad H.   +5 more
europepmc   +1 more source

Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]

Sci Rep
Ali MH, Ahmed HM, Alkhatib S, Ramadan ME, Samir I, Ahmed KK.   +5 more
europepmc   +1 more source