Results 61 to 70 of about 82,407 (180)
Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
Advances in Mathematical Physics, 2020 We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2.
Yudier Peña Pérez +3 more
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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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Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations
, 1999 We generalize the method of obtaining the fundamental linear partial differential equations such as the diffusion and Schrodinger equation, Dirac and telegrapher's equation from a simple stochastic consideration to arrive at certain nonlinear form of ...
A. Munier +9 more
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Local equilibration of fermions and bosons
Results in Physics, 2019 Local kinetic equilibration is a prerequisite for hydrodynamics to be valid. Here it is described through a nonlinear diffusion equation for finite systems of fermions and bosons.
Georg Wolschin
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U(1) Connection, Nonlinear Dirac-Like Equations, and Seiberg–Witten Equations
International Journal of Theoretical Physics, 1998 By analysing the work of Campolattaro we argue that the second Seiberg-Witten equation over the Spin^c_4 manifold, i.e., F^+_{ij}=< M,S_ij M >, is the generalization of the Campolattaro's description of the electromagnetic field tensor F^{ } in the bilinear form F^{ }=\bar S^{ } .
Hu, Liangzhong, Hu, Liangyou
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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 H r H^r for solutions in H
Katharina, Schratz +2 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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Singular limit of an integrodifferential system related to the entropy balance
, 2014 A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system
Bonetti, Elena +2 more
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, 2012 More recently, N. Roy et al. [Phys. Plasmas \textbf{19}, 033705 (2012)] have investigated the occurrence of nonlinear solitary and double-layers in an ultrarelativistic dusty electron-positron-ion degenerate plasma using a Sagdeev potential method.
Akbari-Moghanjoughi, M.
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Structure of Dirac matrices and invariants for nonlinear Dirac equations
Differential and Integral Equations, 2004 We present invariants for nonlinear Dirac equations in space-time ${\mathbb R}^{n+1}$, by which we prove that a special choice of the Cauchy data yields free solutions. Our argument works for Klein-Gordon-Dirac equations with Yukawa coupling as well. Related problems on the structure of Dirac matrices are studied.
Ozawa, Tohru, Yamauchi, Kazuyuki
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