Results 71 to 80 of about 76,709 (184)

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
openaire   +3 more sources

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, Zhao, Xiaofei, Yan, Wang   +2 more
openaire   +4 more sources

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

The general integrable inhomogeneous Dirac–Manakov equations: Darboux-dressing transformation and N-soliton solutions

Nuclear Physics B
By means of the zero-curvature equation and two sets of Lenard recursion sequences, we construct a nonisospectral generalized 3 × 3 Ablowitz–Kaup–Newell–Segur (AKNS) integrable hierarchy.
Jiao Wei, Xin Wang, Yanpei Zhen, Chendi Zhu, Tengjin Zhao   +4 more
doaj   +1 more source

Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations

, 2008
We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical formalism. We show that these equations describe several physical systems such as: chemotaxis of bacterial populations ...
Chavanis, Pierre-Henri
core   +4 more sources

Global strong solution to a nonlinear Dirac type equation in one dimension

, 2012
This paper studies a class of nonlinear massless Dirac equations in one dimension, which include the equations for massless Thirring model and massless Gross-Neveu model.
Bachelot, Bachelot, Bony, Bressan, Candy, Chungunova, Dafermos, Delgado, Dias, Dias, Dias, Escobedo, Esteban, Glimm, Gross, Ha, Huh, Machihara, Selberg, Tartar, Thirring, Yongqian Zhang, Zhou   +22 more
core   +1 more source

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
openaire   +3 more sources

Multi-Dirac Structures and Hamilton-Pontryagin Principles for Lagrange-Dirac Field Theories [PDF]

, 2010
The purpose of this paper is to define the concept of multi-Dirac structures and to describe their role in the description of classical field theories.
Marsden, Jerrold E., Vankerschaver, Joris, Yoshimura, Hiroaki   +2 more
core  

Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings

, 2010
Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model (GN2), and its chiral cousin, the NJL2 model, have shown that there are phases with inhomogeneous crystalline condensates.
A Barducci, A Basu, A Calini, A Klotzek, A Neveu, A Sym, A Sym, AI Bobenko, AI Bobenko, AI Bobenko, AI Bobenko, AS Fokas, AS Fokas, B Grossman, B Rosenstein, BG Konopelchenko, BG Konopelchenko, BG Konopelchenko, BG Konopelchenko, D Nickel, D Nickel, D Nickel, DJ Gross, DM Hofman, E Antonyan, F Correa, F Lund, F Lund, F Lund, G Basar, G Basar, G Basar, G Gat, Gerald V. Dunne, GL Lamb, GL Lamb, GL Lamb, GV Dunne, GV Dunne, Gökçe Başar, H Hopf, HJ Vega De, IA Taimanov, IA Taimanov, IE Frolov, J Feinberg, JL Davis, K Kenmotsu, K Pohlmeyer, KG Klimenko, L Martina, LF Alday, LH Haddad, LP Eisenhart, LS Rios Da, LV Bogdanov, LV Bogdanov, LY Glozman, M Grigoriev, M Thies, M Thies, M Thies, MJ Ablowitz, N Dorey, NJ Hitchin, P Forcrand de, R Hasimoto, RF Dashen, RK Dodd, RL Ricca, RS Ward, S Hands, S Hands, SP Novikov, SP Novikov, SP Novikov, SP Novikov, T Kojo, T Kojo, TF Treml, U Wolff, V Schon, V Schon, W Bietenholz   +83 more
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Relativistic linear stability equations for the nonlinear Dirac equation in Bose-Einstein condensates

, 2011
We present relativistic linear stability equations (RLSE) for quasi-relativistic cold atoms in a honeycomb optical lattice. These equations are derived from first principles and provide a method for computing stabilities of arbitrary localized solutions ...
Becker C., Hartnoll S. A., Jelley J. V., L. D. Carr, L. H. Haddad, Lim L.-K., Pitaevskii L. P.   +6 more
core   +1 more source