Results 21 to 30 of about 2,989 (204)
Dirac solitons in optical microresonators
Light: 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
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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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Dust-ion acoustic shock wave in four-component magnetized dusty plasma [PDF]
مجله 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
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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 +4 more
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Nonlinear Wave Equations Related to Nonextensive Thermostatistics
Entropy, 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
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Integration of the negative order Nonlinear Schr¨odinger Equation with self-consistent source
Қарағанды университетінің хабаршысы. Математика сериясыThis 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
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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
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A New Super Extension of Dirac Hierarchy
Abstract and Applied Analysis, 2014 We derive a new super extension of the Dirac hierarchy associated with a 3×3 matrix super spectral problem with the help of the zero-curvature equation. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear
Jiao Zhang, Fucai You, Yan Zhao
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Solutions of nonlinear Dirac equations
Journal of Differential Equations, 2006 Existence and multiplicity results for stationary solutions of the Dirac equation \(-i\partial _{t}\psi =ic\hslash \sum_{k=1}^{3}a_{k}\partial _{k}\psi -mc^{2}\beta \psi +\nabla _{\psi }G(x,\psi )\) are established via variational method. The associated Lagrangian functional is strongly indefinite and the Palais-Smale (PS) condition is not satisfied ...
Bartsch, Thomas, Ding, Yanheng
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On Stability of Standing Waves of Nonlinear Dirac Equations [PDF]
Communications in Partial Differential Equations, 2012 We have corrected the hypotheses adding an extra symmetry to our class of ...
Nabile Boussaid, CUCCAGNA, SCIPIO
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