Results 71 to 80 of about 746,627 (265)

Time–space fractional (2+1) $(2+1)$ dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions

Advances in Difference Equations, 2018
In this article, nonlinear propagation of envelope gravity waves is studied in baroclinic atmosphere. The classical (2+1) $(2+1)$ dimensional nonlinear Schrödinger (NLS) equation can be derived by using the multiple-scale, perturbation method.
Chen Fu, Chang Na Lu, Hong Wei Yang
doaj   +1 more source

Simplest equation method to look for exact solutions of nonlinear differential equations [PDF]

, 2004
New method is presented to look for exact solutions of nonlinear differential equations. Two basic ideas are at the heart of our approach. One of them is to use the general solutions of the simplest nonlinear differential equations. Another idea is to take into consideration all possible singularities of equation studied. Application of our approach to
arxiv   +1 more source

Critical Energies and Wigner Functions of the Stationary States of the Bose Einstein Condensates in a Double‐Well Trap

Advanced Quantum Technologies, EarlyView.
The critical parameters and energies, at which the wave function of the Bose Einstein Condensate in a double well trap exhibit the symmetry breaking, are estimated. The phase space representation of the states is obtained trough the Wigner function and the trends of the negativities are analyzed.
D. J. Nader, E. Serrano‐Ensástiga
wiley   +1 more source

Disentanglement–Induced Bistability in a Magnetic Resonator

Advanced Quantum Technologies, EarlyView.
The spontaneous disentanglement hypothesis makes the collapse postulate of quantum mechanics redundant, and enables meta‐stability in finite quantum systems, which is otherwise excluded. The hypothesis is falsifiable, since it yields predictions that are distinguishable from what is derived from standard QM. The paper reports on an experiment performed
Eyal Buks
wiley   +1 more source

A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schrödinger equation

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, we study precise and exact traveling wave solutions of the conformable differential nonlinear Schrödinger equation. Then, we transform the given equation into an integer order differential equation by utilizing the wave transformation and
A. Boussaha, B. Semmar, M. Al-Smadi, S. Al-Omari, N. Djeddi   +4 more
doaj   +1 more source

Multi‐Photon Fock State Generation via Selective Single Photon Subtraction in a Cascaded Waveguide QED System

Advanced Quantum Technologies, EarlyView.
This work proposes a photon subtraction scheme, termed ′photon culling′, that enables the selective extraction of a single photon based on its arrival time relative to other photons. This scheme enables the generation of multi‐photon Fock states with high fidelity and modal purity, demonstrating significant potential for quantum metrology applications ...
Abdolreza Pasharavesh, Michal Bajcsy
wiley   +1 more source

Jacobi elliptic function approach to a conformable fractional nonlinear Schrödinger–Hirota equation

Partial Differential Equations in Applied Mathematics, 2023
In this present paper we propound the following equation iDtαu+a2Dx2αu+ia3Dx3αu+a4Dx4α+ibDxα|u|2u+iσ|u|2Dxαu+iλDxα|u|2=c1|u|2u+c2|u|4,which is called the generalized nonlinear fractional Schrödinger–Hirota equation with conformable derivative.
Ahmad Sharif
doaj  

Logistic function as solution of many nonlinear differential equations [PDF]

arXiv, 2014
The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary differential equations. The list of the differential equations having solution in the form of the logistic function is presented.
arxiv  

Stabilization of the catalytically active structure of a molybdenum‐dependent formate dehydrogenase depends on a highly conserved lysine residue

The FEBS Journal, EarlyView.
Molybdenum‐dependent formate dehydrogenases (Mo‐FDHs) contain a strictly conserved lysine residue (K44) in the vicinity of an electron‐transferring [4Fe‐4S] cluster and a catalytically active molybdenum atom coordinated by two molybdopterins (MPT‐1 and MPT‐2).
Feilong Li, Michael Lienemann
wiley   +1 more source

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

Results in Physics, 2018
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif, E.A-B. Abdel-Salam, M.A. El-Aasser   +2 more
doaj