Results 41 to 50 of about 2,003,558 (249)

Solitary waves in a discrete nonlinear Dirac equation [PDF]

Journal of Physics A: Mathematical and Theoretical, 2015
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form of a discretization of the Gross-Neveu model. The motivation for this discrete model proposal is both computational (near the continuum limit) and theoretical (using the understanding of the anti-continuum limit of vanishing coupling).
Cuevas–Maraver, Jesús, Kevrekidis, Panayotis G., Saxena, Avadh   +2 more
openaire   +4 more sources

A SHOCK LAYER ARISING AS THE SOURCE TERM COLLAPSES IN THE P(X)-LAPLACIAN EQUATION

Проблемы анализа, 2020
We study the Cauchy–Dirichlet problem for the p(x)-Laplacian equation with a regular finite nonlinear minor term. The minor term depends on a small parameter ε > 0 and, as ε → 0, converges weakly* to the expression incorporating the Dirac delta function,
S. N. Antontsev, I. V. Kuznetsov, S. A. Sazhenkov   +2 more
doaj   +1 more source

Fluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations

Journal of High Energy Physics, 2022
In this paper we consider an Euler fluid coupled to external electromagnetism. We prove that the Hopfion fluid-electromagnetic knot, carrying fluid and electromagnetic (EM) helicities, solves the fluid dynamical equations as well as the Abanov Wiegmann ...
Horatiu Nastase, Jacob Sonnenschein
doaj   +1 more source

Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2004
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S, J. Sayers, Jack Sayers, Sayers, J., J. Wang, Sayers, Jack, Sanders, J.A., Hereman, Willy, Jing Ping Wang, J. Sanders, W. Hereman, Willy Hereman, Wang, J.P., Wang, Jing Ping, Sanders, Jan A., Hereman, W.   +15 more
core   +1 more source

Gauge Invariance of Nonlinear Klein-Gordon

Positron, 2013
We have discussed the gauge invariance of nonlinear Klein-Gordon equation which describes the interaction of electromagnetic initially proposed by Hermann Weyl. The construction of nonlinear Klein-Gordon itself is formulated by two classical conservation
T. B. Prayitno
doaj   +1 more source

Nonlinear extensions of the Dirac equation and their implications in QED [PDF]

Physical Review A, 1988
We investigate the influence of additional nonlinear terms in the Dirac Lagrangian on strongly bound electron states in heavy and superheavy atoms. Upper bounds for the coupling constants are deduced by comparison with precision spectroscopy data in QED.
Ionescu, Dorin Cezar, Reinhardt, Joachim, Müller, Berndt, Greiner, Walter, Soff, Gerhard   +4 more
openaire   +2 more sources

Spinor solitons in one-dimensional and planar nonlinear Dirac equations

Partial Differential Equations in Applied Mathematics
This article investigates nonlinear Dirac equations (NLD) with cubic-type nonlinearities, that is, vector and scalar self-interaction nonlinearities. We present analytical solutions of gap-solitons, which are self-localised, moving or quiescent pulses ...
Realeboga Dikole
doaj   +1 more source

The cubic nonlinear Dirac equation [PDF]

Journées équations aux dérivées partielles, 2013
We present some results obtained in collaboration with prof. Piero D’Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in H 1
openaire   +2 more sources

Integration of the negative order Nonlinear Schr¨odinger Equation with self-consistent source

Қарағанды университетінің хабаршысы. Математика сериясы
This paper focuses on the integrability properties of the negative-order nonlinear Schro¨dinger equation with a source. The source consists of the combination of the eigenfunctions of the corresponding spectral problem for the Dirac system which has not
G.U. Urazboev, I.I. Baltaeva
doaj   +1 more source

Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains

Advances in Mathematical Physics, 2020
We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2.
Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch, Juan Bory Reyes   +3 more
doaj   +1 more source