Results 51 to 60 of about 76,709 (184)
A Solution of the Maxwell-Dirac Equations in 3+1 Dimensions [PDF]
, 1994 We investigate a class of localized, stationary, particular numerical solutions to the Maxwell-Dirac system of classical nonlinear field equations. The solutions are discrete energy eigenstates bound predominantly by the self-produced electric field ...
A G Lisi +5 more
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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.
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Multi-hump solitary waves of a nonlinear Dirac equation [PDF]
Communications in Mathematical Sciences, 2015 34 pages, 6 ...
Xu, Jian +3 more
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Alexandria Engineering JournalThis research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels.
Abdon Atangana, Seda Igret Araz
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Dynamics of a physically nonlinear viscoelastic cylindrical shell with a concentrated mass [PDF]
Инженерно-строительный журнал, 2019 It is known that the theory of linear and nonlinear elastic plates and shells is the most developed part of the theory of elasticity. In this area, the necessary equations are obtained and the methods to solve them are developed.
D.A. Khodzhaev +2 more
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NeuroImage, 2023 This paper introduces methods and a novel toolbox that efficiently integrates high-dimensional Neural Mass Models (NMMs) specified by two essential components. The first is the set of nonlinear Random Differential Equations (RDEs) of the dynamics of each
Anisleidy González Mitjans +10 more
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A graph-theoretic approach to sparse matrix inversion for implicit differential algebraic equations [PDF]
Mechanical Sciences, 2013 In this paper, we propose an efficient numerical scheme to compute sparse matrix inversions for Implicit Differential Algebraic Equations of large-scale nonlinear mechanical systems.
H. Yoshimura
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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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Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology [PDF]
, 2006 We discuss a general class of nonlinear mean-field Fokker-Planck equations [P.H. Chavanis, Phys. Rev. E, 68, 036108 (2003)] and show their applications in different domains of physics, astrophysics and biology.
Borland +47 more
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New Journal of Physics, 2015 The nonlinear Dirac equation for Bose–Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions.
L H Haddad, Lincoln D Carr
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