Nonlinear dirac equations - Open Access .click

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Closed-form spin-relativistic corrections from the Dirac equation enabling a modified Schrödinger solver. [PDF]

Sci Rep
Amaro MB, Nazeef, Dussech CJ, Qi C.
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Environmental Effects via Frozen Density Embedding in Real-Time Time-Dependent Dirac-Kohn-Sham Theory: Solvation of Lead Halides. [PDF]

J Chem Theory Comput
De Santis M +6 more
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Stationary states for nonlinear Dirac equations with superlinear nonlinearities

, 2012
In this paper we consider the nonlinear Dirac equation $$ -i\partial_t\psi=ic\hbar\sum^3_{k=1}\alpha_k\partial_k\psi-mc^2\beta\psi+ G_\psi(x,\psi). $$ Under suitable superlinear assumptions on the nonlinearities we can obtain the existence of at least one stationary state for the equation by applying a generalized linking theorem.
Yang, Minbo, Ding, Yanheng
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Magnet-Free Nonreciprocal Edge Plasmons in Optically Pumped Bilayer Graphene. [PDF]

Nanomaterials (Basel)
Ahn S.
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Harmonic trophic potentials and memory effects in ecological dynamics in resource-limited ecosystems through the Generalized Lotka-Volterra model with biomass constraints. [PDF]

Theory Biosci
Marinho JAO, da Rocha HO, Reis FPP.
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Kicked General Fractional Lorenz-Type Equations: Exact Solutions and Multi-Dimensional Discrete Maps. [PDF]

Entropy (Basel)
Tarasov VE.
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Gate-Induced Static and Dynamic Nonlinearity Characteristics of Bilayer Graphene Field-Effect Transistors (Bi-GFETs). [PDF]

Micromachines (Basel)
Kakar VK, Munindra, Pal PK.
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The Port-Hamiltonian Structure of Continuum Mechanics. [PDF]

J Nonlinear Sci
Rashad R, Stramigioli S.
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On the solutions of fractional differential equations with modified Mittag-Leffler kernel and Dirac Delta function: Analytical results and numerical simulations. [PDF]

PLoS One
Al-Refai M, Baleanu D, Alomari AK.
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