Results 1 to 10 of about 2,003,558 (249)
Decay of Solutions of Nonlinear Dirac Equations
Communications in Mathematical PhysicsWe study the long-time behavior of small and large solutions to a broad class of nonlinear Dirac-type equations. Our results are classified in 1D massless and massive cases, 3D general and $n$ dimensional in generality. In the 1D massless case we prove that any globally defined solution converges to zero as time tends to infinity, within a spatial ...
Herr, Sebastian +2 more
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Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity [PDF]
Physical Review E, 2014 35 pages, 13 ...
Shao, Sihong +5 more
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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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Low-regularity integrators for nonlinear Dirac equations
Mathematics of Computation, 2020 In this work, we consider the numerical integration of the nonlinear Dirac equation and the Dirac–Poisson system (NDEs) under rough initial data. We propose an ultra low-regularity integrator (ULI) for solving the NDEs which enables optimal first-order time convergence in
Katharina, Schratz +2 more
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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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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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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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Interaction of exact gravitational waves with matter
Physics Letters BWe consider interactions of exact (i.e., solutions of full nonlinear field equations) gravitational waves with matter by using the Einstein-Boltzmann equation.
Morteza Mohseni, Saurya Das
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Nonlinear equations in private derivatives, related to the operator of Dirak
Наука. Инновации. Технологии, 2022 Theory of integrable nonlinear equations possessing soliton solutions of a new type - tipper solitons. The operator examines the design proposed by O.I. Bogoyavlensky, and having attractors in the phase space.
Olga Sergeevna Yanovskaya +1 more
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