Results 71 to 80 of about 2,989 (204)

The incompleteness of the Schroedinger equation

Ratio Mathematica
The Schrodinger equation with the nonlinear term is derived in the framework of the Dirac heuristics. The particle behaves classically in case its mass is infinite.
Miroslav Pardy
doaj   +1 more source

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

Mathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés, Ana Navarro‐Quiles, Sorina Madalina Sferle   +2 more
wiley   +1 more source

EXACT LOCALIZED SOLUTION OF THE NONLINEAR DIRAC EQUATION

, 2023
MAJOR ADVISOR: Dr. A. K. MISHRA ABSTRACT The nonlinear Dirac equation is a relativistic classical field theory that describes the behavior of a system of self-interacting spinor fields. According to this theory, the interactions among spinor fields are represented by additional Kerr-nonlinearity added to the Dirac equation, which justifies and models
openaire   +3 more sources

Speed-of-light pulses in a massless nonlinear Dirac equation

Physical Review E, 2019
In this work, we explore a massless nonlinear Dirac equation, i.e., a nonlinear Weyl equation. We study the dynamics of its pulse solutions and find that a localized one-hump initial condition splits into a localized two-hump pulse, while an associated phase structure emerges in suitable components of the spinor field. For times larger than a transient
Jesús Cuevas-Maraver, P. G. Kevrekidis, Franz G. Mertens, Avadh Saxena   +3 more
openaire   +5 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

The nonlinear dirac equation in Bose–Einstein condensates: vortex solutions and spectra in a weak harmonic trap

New Journal of Physics, 2015
We analyze the vortex solution space of the $(2+1)$ -dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice spacing. Dirac point relativistic covariance combined with s-wave scattering
L H Haddad, Lincoln D Carr
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

A Coupled Extended Finite Element–Cohesive Zone Model for Hydraulic Fracture Propagation Under Poroelastic Effects Across Different Propagation Regimes

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Numerical simulation of hydraulic fracturing remains challenging due to the strong coupling between geomechanics and fluid flow when modelling multiple physical mechanisms of rock deformation, fracture evolution and fluid leak‐off. This study develops a coupled hydraulic fracture propagation framework that combines the extended finite element ...
Ran Tao, Juliana Y. Leung, Samer Adeeb
wiley   +1 more source

Geometrical contribution to neutrino mass matrix

European Physical Journal C: Particles and Fields, 2019
The dynamics of fermions on curved spacetime requires a spin connection, which contains a part called contorsion, an auxiliary field without dynamics but fully expressible in terms of the axial current density of fermions. Its effect is the appearance of
Subhasish Chakrabarty, Amitabha Lahiri
doaj   +1 more source

Insights From the Alphasat Aldo Paraboni Experiment at Tito Scalo and Spino d'Adda: Characterizing Scintillation and Rain Attenuation at Ka‐ and Q‐Band Frequencies

International Journal of Satellite Communications and Networking, EarlyView.
ABSTRACT We present experimental results on the relationship between rain attenuation and simultaneous scintillation during rain events, based on beacon signal measurements at 19.7 (Ka‐band) and 39.4 GHz (Q‐band) from the geosynchronous Alphasat satellite (25° E), received at two Italian ground stations, Spino d'Adda (42.1° slant path) and Tito Scalo ...
Miles Turner, Alef Comisso, Carlo Riva, Lorenzo Luini, Giuseppe Codispoti, Giorgia Parca   +5 more
wiley   +1 more source