Results 41 to 50 of about 3,094 (216)

CONSTRUCTION OF CONSERVATION LAWS FOR NONLINEAR EQUATIONS CONNECTED WITH THE DIRAC SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
Introduction: the problem of integrability of nonlinear partial differential equations, even for the second order, is not always an obvious fact, since inding a general solution is possible only in rare cases.
Tatyana Valentinovna Redkina
doaj  

Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity [PDF]

open access: yesPhysical Review E, 2014
35 pages, 13 ...
Shao, Sihong   +5 more
openaire   +3 more sources

Observation of Magnetic‐Anisotropy Crossover and High‐Temperature Skyrmions in the Dirac Magnet Fe3Ge with a Distorted Kagome Lattice

open access: yesAdvanced Science, EarlyView.
A temperature‐driven magnetic anisotropy crossover is revealed in the Dirac kagome magnet Fe3Ge with a distorted kagome lattice. The transition from easy‐plane to easy‐axis magnetic anisotropy stabilizes robust Bloch‐type skyrmions over an exceptionally wide temperature window of 375–650 K.
Yalei Huang   +15 more
wiley   +1 more source

Low-regularity integrators for nonlinear Dirac equations

open access: yesMathematics of Computation, 2020
In this work, we consider the numerical integration of the nonlinear Dirac equation and the Dirac–Poisson system (NDEs) under rough initial data. We propose an ultra low-regularity integrator (ULI) for solving the NDEs which enables optimal first-order time convergence in
Katharina, Schratz   +2 more
openaire   +5 more sources

From Sensing Mechanisms to System Co‐Design: Graphene‐Based Sensors and Readout Circuits

open access: yesAdvanced Science, EarlyView.
This review establishes a unified PS–EQ–RF framework linking graphene sensing mechanisms, native electrical outputs, and output‐specific readout circuits. Voltage‐, current‐, resistance‐, and capacitance‐type sensing systems are systematically classified to guide architecture selection, low‐noise design, system co‐design, and practical integration ...
Jinduo Zhang   +5 more
wiley   +1 more source

Decay of Solutions of Nonlinear Dirac Equations

open access: yesCommunications in Mathematical Physics
We study the long-time behavior of small and large solutions to a broad class of nonlinear Dirac-type equations. Our results are classified in 1D massless and massive cases, 3D general and $n$ dimensional in generality. In the 1D massless case we prove that any globally defined solution converges to zero as time tends to infinity, within a spatial ...
Herr, Sebastian   +2 more
openaire   +3 more sources

Continuous-Discrete Path Integral Filtering

open access: yesEntropy, 2009
A summary of the relationship between the Langevin equation, Fokker-Planck-Kolmogorov forward equation (FPKfe) and the Feynman path integral descriptions of stochastic processes relevant for the solution of the continuous-discrete filtering problem is ...
Bhashyam Balaji
doaj   +1 more source

Ion‐Gating Reservoir Computing for Preprocessing‐Free Speech Recognition from Throat Vibrations

open access: yesAdvanced Electronic Materials, EarlyView.
This work presents a throat‐mounted mechanoelectric sensor integrated with an ion‐gel/graphene reservoir device for on‐device speech recognition. The system converts raw biomechanical vibrations into rich nonlinear current dynamics, enabling efficient classification through a simple linear readout. The approach highlights a compact and tunable physical‐
Daiki Nishioka   +5 more
wiley   +1 more source

The nonlinear Dirac equation in Bose–Einstein condensates: superfluid fluctuations and emergent theories from relativistic linear stability equations

open access: yesNew Journal of Physics, 2015
We present the theoretical and mathematical foundations of stability analysis for a Bose–Einstein condensate (BEC) at Dirac points of a honeycomb optical lattice. The combination of s -wave scattering for bosons and lattice interaction places constraints
L H Haddad, Lincoln D Carr
doaj   +1 more source

Nuts and bolts of supersymmetry

open access: yesPhysical Review Research, 2020
A topological mechanism is a zero-elastic-energy deformation of a mechanical structure that is robust against smooth changes in system parameters.
Nitin Upadhyaya   +2 more
doaj   +1 more source

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