Results 51 to 60 of about 433,700 (300)

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

Molecularly Engineered Highly Stable Memristors with Ultra‐Low Operational Voltage: Integrating Synthetic DNA with Quasi‐2D Perovskites

Advanced Functional Materials, EarlyView.
Molecularly engineered memristors integrating Ag nanoparticle–embedded synthetic DNA with quasi‐2D halide perovskites enable ultra‐low‐operational voltage, forming‐free resistive switching, and record‐low power density. This synergistic integration of customized DNA and 2D OHP in bio‐hybrid architecture enhances charge transport, reduces variability ...
Kavya S. Keremane, Abhinav Gorthy, Luyao Zheng, Chiranth C Ravi, Haodong Wu, Jiamao Zheng, Neela H. Yennawar, Shashank Priya, Rashmi Jha, Bed Poudel   +9 more
wiley   +1 more source

Study of optical soliton fibers with power law model by means of higher-order nonlinear Schrödinger dynamical system

Results in Physics, 2019
In this paper, the higher-order nonlinear Schrödinger equation (NLSE) represents description of the propagation of short light pulses in mono-mode optical fibers.
Sultan Z. Alamri, Aly R. Seadawy, Haya M. Al-Sharari   +2 more
doaj   +1 more source

Peregrine Solitons of the Higher-Order, Inhomogeneous, Coupled, Discrete, and Nonlocal Nonlinear Schrödinger Equations

Frontiers in Physics, 2020
This study reviews the Peregrine solitons appearing under the framework of a class of nonlinear Schrödinger equations describing the diverse nonlinear systems.
T. Uthayakumar, L. Al Sakkaf, U. Al Khawaja   +2 more
doaj   +1 more source

On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit

, 2013
We prove an error estimate for a Lie-Trotter splitting operator associated to the Schrodinger-Poisson equation in the semiclassical regime, when the WKB approximation is valid.
Carles, Rémi
core   +3 more sources

Madelung, Gross-Pitaevskii and Korteweg [PDF]

, 2011
This paper surveys various aspects of the hydrodynamic formulation of the nonlinear Schrodinger equation obtained via the Madelung transform in connexion to models of quantum hydrodynamics and to compressible fluids of the Korteweg type.Comment: 32 ...
Carles, Rémi, Danchin, Raphaël, Saut, Jean-Claude   +2 more
core   +3 more sources

Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law

Applied Sciences, 2019
In this paper, the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation in parabolic law media are investigated to obtain the dark, singular, bright-singular combo and periodic soliton solutions. Two powerful methods, the m + G
Wei Gao, H. Ismael, A. M. Husien, H. Bulut, H. Baskonus   +4 more
semanticscholar   +1 more source

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

Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: Matter-wave breathers

, 2003
We demonstrate that stabilization of solitons of the multidimensional Schrodinger equation with a cubic nonlinearity may be achieved by a suitable periodic control of the nonlinear term.
Montesinos, Gaspar D., Perez-Garcia, Victor M., Torres, Pedro   +2 more
core   +1 more source