Results 11 to 20 of about 2,989 (204)

Monopole solutions in SU(2) Yang-Mills-plus-massive-nonlinear-spinor-field theory

open access: yesPhysics Letters B, 2020
Monopole solutions in SU(2) Yang-Mills theory which includes spinor fields described by the nonlinear Dirac equation are obtained. It is demonstrated that the energy spectrum of such a system possesses a global minimum whose appearance is brought about ...
Vladimir Dzhunushaliev   +2 more
doaj   +1 more source

Born-infeld electrodynamics: Clifford number and spinor representations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
The Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space-time is introduced as coordinate independent form of fully antisymmetric fourth-rank tensor.
Alexander A. Chernitskii
doaj   +1 more source

Parameterization of kernels of the Volterra series for systems given by nonlinear differential equations [PDF]

open access: yesE3S Web of Conferences, 2023
The presented article is devoted on an issue regarding to the transformation of nonlinear models of a certain class to the Volterra functional series. The new identification method based on analytical input and output of a system was developed.
Kislovskiy Evgeniy   +2 more
doaj   +1 more source

Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation

open access: yesDiscrete Dynamics in Nature and Society, 2017
A high-order accuracy numerical method is proposed to solve the (1+1)-dimensional nonlinear Dirac equation in this work. We construct the compact finite difference scheme for the spatial discretization and obtain a nonlinear ordinary differential system.
Jing-Jing Zhang   +2 more
doaj   +1 more source

Global bifurcation for nonlinear Dirac problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we consider the nonlinear eigenvalue problems for the one-dimensional Dirac equation. To exploit oscillatory properties of the components of the eigenvector-functions of linear one-dimensional Dirac system an appropriate family of sets is ...
Ziyatkhan Aliyev, Humay Rzayeva
doaj   +1 more source

Analytical method of optical wave behavior studying in nonlinear medium with periodically arranged conducting nanofilms [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2023
The purpose of this work is to build the analytical model of the behavior of a harmonic wave in a nonlinear optical medium with periodically arranged nanofilms. Methods.
Volkova, Svetlana Anatolena   +5 more
doaj   +1 more source

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

open access: yesПроблемы 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   +2 more
doaj   +1 more source

Gauge Invariance of Nonlinear Klein-Gordon

open access: yesPositron, 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

Solutions of a Nonlinear Dirac Equation with External Fields [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanheng Ding, B. Ruf
openaire   +1 more source

Existence of global attractor for one-dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half-line

open access: yesAdvances in Difference Equations, 2017
We consider a nonlinear Schrödinger equation with Dirac interaction defect. Moreover, non-standard boundary conditions are introduced in connection to the behavior of the solutions.
Mostafa Abounouh   +2 more
doaj   +1 more source

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