Results 41 to 50 of about 82,407 (180)
Nambu-Type Generalization of the Dirac Equation [PDF]
, 1996 Nonlinear generalization of the Dirac equation extending the standard paradigm of nonlinear Hamiltonians is discussed. ``Faster-than-light telegraphs" are absent for all theories formulated within the new framework.
Barut +39 more
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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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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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Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime [PDF]
, 2016 We apply the two-scale formulation approach to propose uniformly accurate (UA) schemes for solving the nonlinear Dirac equation in the nonrelativistic limit regime.
Lemou, Mohammed +2 more
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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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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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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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Nonlinear Dirac equations and nonlinear gauge transformations
, 2003 Nonlinear Dirac equations (NLDE) are derived through a group N^2 of nonlinear (gauge) transformation acting in the corresponding state space. The construction generalises a construction for nonlinear Schr dinger equations. To relate N^2 with physically motivated principles we assume: locality (i.e. it contains no explicit derivative and no derivatives
Doebner, H. -D., Zhdanov, R.
openaire +2 more sources