Results 41 to 50 of about 19,010 (265)

A Toolkit for Targeted Neuromodulation of Striatal Direct Pathway Neurons Rescues Parkinsonian Motor Deficits in Mice

open access: yesAdvanced Science, EarlyView.
An adeno‐associated virus (AAV) toolkit enables selective anatomical and functional targeting of striatal D1‐MSNs through retrograde transduction. Enhanced capsids and engineered enhancers drive robust transgene expression across murine and primate models.
Zexuan Hong   +14 more
wiley   +1 more source

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization

open access: yesScientific Reports
Hamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki   +2 more
doaj   +1 more source

Energy decay rate of multidimensional inhomogeneous Landau–Lifshitz–Gilbert equation and Schrödinger map equation on the sphere

open access: yesAdvances in Difference Equations, 2018
We consider the multidimensional dimensional inhomogeneous Landau–Lifshitz–Gilbert (ILLG) equation and its degenerate case, the Schrödinger map equation.
Penghong Zhong, Chao Zhang, Fengong Wu
doaj   +1 more source

Solving a nonlinear fractional Schrödinger equation using cubic B-splines

open access: yesAdvances in Difference Equations, 2020
We study the inhomogeneous nonlinear time-fractional Schrödinger equation for linear potential, where the order of fractional time derivative parameter α varies between 0 < α < 1 $0 < \alpha < 1$ .
M. Erfanian   +3 more
doaj   +1 more source

Some Spectral Properties of Schrödinger Operators on Semi Axis

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
The main aim of this work is to investigate some spectral properties of Schrödinger operators on semi axis. We first present the Schrödinger equation with a piecewise continuous potential function q so that the problem differs from the classical ...
İbrahim Erdal
doaj   +1 more source

ANKS1B in the Nucleus Accumbens Controls Escalated Cocaine Self‐Administration via Regulating CBP‐FoxO3 Complex

open access: yesAdvanced Science, EarlyView.
ANKS1B in the nucleus accumbens plays a critical role in the transition from controlled to escalated cocaine intake. Mechanistically, ANKS1B interacts with CBP to epigenetically suppress FoxO3 through H3K27 acetylation. The ANKS1B‐CBP‐FoxO3 signaling cascade presents a novel theraputic target for the treatment of cocaine addiction.
Liping Yang   +15 more
wiley   +1 more source

Steady-state solutions for Schrodinger equations in photonic lattice

open access: yesElectronic Journal of Differential Equations, 2018
In this article, we study a nonlinear Schrodinger equation arising in optics. Firstly we prove the existence of multiple solutions of this equation. Secondly, we consider a nonlinear Schrodinger system which is intimately related to the Schrodinger ...
Wen-Long Li
doaj  

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

open access: yesScientific 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

open access: yesPartial 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

Exact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative

open access: yesThe Scientific World Journal, 2014
Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota’s approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated.
Qi Li, Qiu-yuan Duan, Jian-bing Zhang
doaj   +1 more source

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