Results 31 to 40 of about 36,271 (185)

On nonparaxial nonlinear Schrödinger-type equations [PDF]

, 2019
In this paper the one-dimensional nonparaxial nonlinear Schrödinger equation is considered. This was proposed as an alternative to the classical nonlinear Schrödinger equation in those situations where the assumption of paraxiality may fail.
Cano Urdiales, Begoña, Durán Martín, Ángel   +1 more
core   +1 more source

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

Internal control of the Schrödinger equation [PDF]

, 2014
In this paper, we intend to present some already known results about the internal controllability of the linear and nonlinear Schrödinger equation.
Laurent, Camille
core   +4 more sources

Integration of the Loaded Negative Order Nonlinear Schrodinger Equation in the Class of Periodic Functions

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov   +2 more
doaj   +1 more source

A study of finite gap solutions to the nonlinear Schrödinger equation

, 2007
The vector nonlinear Schrödinger equation is an envelope equation which models the propagation of ultra-short light pulses and continuous-wave beams along optical fibres.
Warren, Oliver H, Warren, Oliver H
core   +1 more source

Korteweg-de Vries description of Helmholtz-Kerr dark solitons [PDF]

, 2006
A wide variety of different physical systems can be described by a relatively small set of universal equations. For example, small-amplitude nonlinear Schrödinger dark solitons can be described by a Korteweg-de Vries (KdV) equation.
Chamorro-Posada P, Chamorro-Posada P, Chi S, Christian J M, Christian J M, Dodd R K, Fedele R, Fedele R, G S McDonald, Infeld E, J M Christian, Kivshar Y S, Kivshar Y S, Kivshar Y S, Kivshar Y S, Kivshar Y S, Mandel P, P Chamorro-Posada, Remoissenet M, Satsuma J, Zakharov V E, Zakharov V E   +21 more
core   +3 more sources

Nonlinear quasimodes near elliptic periodic geodesics [PDF]

, 2012
International audienceWe consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonlinear stationary problem which are highly localized ...
Albin, Pierre, Christianson, Hans, Marzuola, Jeremy, Thomann, Laurent   +3 more
core   +3 more sources

Enhanced Self‐Phase Modulation in Silicon Nitride Waveguides Integrated With 2D MoS2 Films

Advanced Materials Technologies, EarlyView.
ABSTRACT On‐chip integration of 2D materials provides a promising route toward next‐generation integrated optical devices with performance beyond existing limits. Here, significantly enhanced spectral broadening induced by self‐phase modulation (SPM) is experimentally demonstrated in silicon nitride (Si3N4) waveguides integrated with 2D monolayer ...
Shahaz S. Hameed, Di Jin, Aihao Zhao, Jiayang Wu, Junkai Hu, Irfan H. Abidi, Sebastien Cueff, Christian Grillet, Yuning Zhang, Houssein El Dirani, Corrado Sciancalepore, Sebastien Kerdiles, Quentin Wilmart, Sumeet Walia, Christelle Monat, David J. Moss   +15 more
wiley   +1 more source

Novel soliton solutions and phase plane analysis in nonlinear Schrödinger equations with logarithmic nonlinearities

Scientific Reports
This paper investigates a generalized form of the nonlinear Schrödinger equation characterized by a logarithmic nonlinearity. The nonlinear Schrödinger equation, a fundamental equation in nonlinear wave theory, is applied across various physical systems ...
Du’a Al-zaleq, Lewa’ Alzaleq
doaj   +1 more source

Asymptotic behavior of dark multi-solitons to the intermediate nonlinear Schrödinger equation

Partial Differential Equations in Applied Mathematics
The intermediate nonlinear Schrödinger equation (abbreviated to (INS)) is a model equation for envelope waves in a deep stratified fluid and can be thought of as a generalization of the defocusing nonlinear Schrödinger equation. Furthermore, it possesses
Takafumi Akahori
doaj   +1 more source