Results 31 to 40 of about 82,407 (180)

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

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

On Remarkable Reductions of the Nonlinear Dirac Equation [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhdanov, Renat, Andreitsev, Andrij
openaire   +1 more source

Dirac solitons in optical microresonators

open access: yesLight: Science & Applications, 2020
Dirac solitons: Equation describes new properties The intriguing properties of a new type of ultrashort light pulse in microresonators are described. Called a Dirac soliton, Heming Wang and colleagues at the California Institute of Technology say that ...
Heming Wang   +6 more
doaj   +1 more source

Dust-ion acoustic shock wave in four-component magnetized dusty plasma [PDF]

open access: yesمجله علوم و فنون هسته‌ای, 2022
The Zakharov-Kuznetsov-Burgers (ZKB) equation for the Dust Ion Acoustic (DIA) Shock waves in four-component magnetized dusty plasma using standard reductive perturbation technique and hydrodynamics model have been theoretically investigated.
M. Ghasemloo
doaj   +1 more source

Stable directions for small nonlinear Dirac standing waves [PDF]

open access: yes, 2006
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates.
A. Alvarez   +48 more
core   +2 more sources

Solitary waves in a discrete nonlinear Dirac equation [PDF]

open access: yesJournal 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   +2 more
openaire   +4 more sources

Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity [PDF]

open access: yes, 2017
In this paper we prove the existence of an exponentially localized stationary solution for a two-dimensional cubic Dirac equation. It appears as an effective equation in the description of nonlinear waves for some Condensed Matter (Bose-Einstein ...
Borrelli, William
core   +3 more sources

Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems [PDF]

open access: yesCommunications in Mathematical Physics, 2019
Abstract We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
openaire   +6 more sources

Nonlinear Wave Equations Related to Nonextensive Thermostatistics

open access: yesEntropy, 2017
We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive S q entropies.
Angel R. Plastino, Roseli S. Wedemann
doaj   +1 more source

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