Results 31 to 40 of about 3,094 (216)
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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The Dirac equation as a linear tensor equation for one component
European Physical Journal C: Particles and FieldsThe Dirac equation is one of the most fundamental equations of modern physics. It is a spinor equation, but some tensor equivalents of the equation were proposed previously.
Andrey Akhmeteli
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Известия Иркутского государственного университета: Серия "Математика"In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov +2 more
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Advances in Difference Equations, 2019 In this paper we study the Boussinesq equation with power law nonlinearity and dual dispersion which arises in fluid dynamics. A particular kind of product of distributions is introduced and applied to solve non-smooth solutions of this equation.
Shan Zheng, Zhengyong Ouyang, Kuilin Wu
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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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Moiré‐Induced Symmetry Breaking of Charge Order in van der Waals Heterostructures
Advanced Materials, EarlyView.A uniaxial moiré potential in misfit (MS)1+δTaS2 heterostructures selectively reshape charge order: the embedded 1H‐TaS2 layer hosts an incommensurate charge‐density wave, fragmented into nanometer domains and stripped of threefold symmetry. Superconductivity, however, remains uniform and fully gapped, revealing heterosymmetry stacking as a selective ...
Sandra Sajan +12 more
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Advanced Science, EarlyView.First‐principles calculations reveal that monolayer In2O${\rm In}_2{\rm O}$ hosts type‐II Dirac fermions near the Fermi level, which split into Weyl points under spin‐orbit coupling. The material exhibits negative and giant magnetoresistance, a pronounced spin Hall effect, and phonon‐mediated superconductivity at 1.5 K, establishing it as a unique ...
Qing‐Bo Liu +6 more
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Third-order nonlinear Hall effect in two-dimensional Dirac systems
New Journal of Physics, 2023 We theoretically investigate the third-order nonlinear Hall effect by employing the quantum kinetic equation and present an analytic formula for the third-order harmonic conductivity, where the intraband and the mixed inter-band contributions caused by ...
Yang Gao, Zhi-Qiang Zhang, Kai-He Ding
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Giant Bulk Photovoltaic Effect in Two‐Dimensional Topological Ferroelectric Semimetal
Advanced Science, EarlyView.ABSTRACT Ferroelectric (FE) metals have attracted growing interest because they combine ferroelectricity with metallic behavior and enable polarization‐controlled band topology near the Fermi level. However, the number of known ferroelectric metals is still limited.
Jianhua Wang +8 more
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