Results 31 to 40 of about 76,709 (184)
On Remarkable Reductions of the Nonlinear Dirac Equation [PDF]
Journal of Nonlinear Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhdanov, Renat, Andreitsev, Andrij
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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 +2 more
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Global Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical Space
Abstract and Applied Analysis, 2013 We study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula.
Hyungjin Huh
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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 +2 more
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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
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Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields [PDF]
, 2012 Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the presence of small external electromagnetic sources. The vacuum is not an empty
C. Hainzl +37 more
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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
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Perturbation method for particlelike solutions of Einstein-Dirac equations
, 2009 The aim of this work is to prove by a perturbation method the existence of solutions of the coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state. We relate the solutions of our equations to
Nodari, Simona Rota
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Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays [PDF]
, 2017 We study analytically and numerically the optical analogue of the Jackiw-Rebbi states in quantum field theory. These solutions exist at the interface of two binary waveguide arrays which are described by two Dirac equations with opposite sign masses.
Biancalana, Fabio, Tran, Truong X.
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Spinor solitons in one-dimensional and planar nonlinear Dirac equations
Partial Differential Equations in Applied MathematicsThis 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
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