A nonperturbative solution of a nonlinear field equation of motion

1971 ◽  
Vol 4 (3) ◽  
pp. 647-675 ◽  
Author(s):  
E. van der Spuy
Keyword(s):  
Field Equation ◽  
Equation Of Motion ◽  
Nonlinear Field ◽  
Nonperturbative Solution

Approximate Solution of a Nonlinear Field Equation

1963 ◽  
Vol 4 (3) ◽  
pp. 334-338 ◽  
Author(s):  
D. D. Betts ◽  
H. Schiff ◽  
W. B. Strickfaden
Keyword(s):  
Approximate Solution ◽  
Field Equation ◽  
Nonlinear Field

Analytic Lyapunov exponents in a classical nonlinear field equation

2000 ◽  
Vol 61 (4) ◽  
pp. R3299-R3302 ◽  
Author(s):  
Roberto Franzosi ◽  
Raoul Gatto ◽  
Giulio Pettini ◽  
Marco Pettini
Keyword(s):  
Field Equation ◽  
Lyapunov Exponents ◽  
Nonlinear Field

Numerical twistor procedure for solving a nonlinear field equation

1994 ◽  
Vol 35 (12) ◽  
pp. 6489-6497
Author(s):  
T. Moorhouse ◽  
R. S. Ward
Keyword(s):  
Field Equation ◽  
Nonlinear Field

scholarly journals DILATON COUPLED QUINTESSENCE MODEL IN THE ω - ω′ PLANE

2007 ◽  
Vol 16 (07) ◽  
pp. 1109-1117 ◽  
Author(s):  
Z. G. HUANG ◽  
H. Q. LU ◽  
W. FANG
Keyword(s):  
Dark Energy ◽  
Field Equation ◽  
Scalar Field ◽  
Equation Of State ◽  
State Parameter ◽  
Equation Of Motion ◽  
Gravitational Theory ◽  
Scalar Field Equation ◽  
Equation Of State Parameter ◽  
Quintessence Model

In this paper, we regard the dilaton in Weyl-scaled induced gravitational theory as a coupled quintessence. Based on this consideration, we investigate the dilaton coupled quintessence (DCQ) model in the ω - ω′ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to N (the logarithm of the scale factor a). We find the scalar field equation of motion in the ω - ω′ plane, and show mathematically the properties of attractor solutions which correspond to ωσ ~ -1, ωσ = 1. Finally, we find that our model is a tracking one which belongs to "freezing" type models classified in the ω - ω′ plane.

scholarly journals Electromagnetic field with induced massive term: Case with scalar field

Open Physics ◽  
2011 ◽  
Vol 9 (5) ◽  
Author(s):  
Yuri Rybakov ◽  
Georgi Shikin ◽  
Yuri Popov ◽  
Bijan Saha
Keyword(s):  
Electromagnetic Field ◽  
Field Equation ◽  
Scalar Field ◽  
Cosmological Model ◽  
Bianchi Type ◽  
Rest Mass ◽  
Additional Term ◽  
Equation Of Motion ◽  
Massless Scalar ◽  
Type I

AbstractWe consider an interacting system of massless scalar and electromagnetic fields, with the Lagrangian explicitly depending on the electromagnetic potentials, i.e., interaction with broken gauge invariance. The Lagrangian for interaction is chosen in such a way that the electromagnetic field equation acquires an additional term, which in some cases is proportional to the vector potential of the electromagnetic field. This equation can be interpreted as the equation of motion of photon with induced nonzero rest-mass. This system of interacting fields is considered within the scope of Bianchi type-I (BI) cosmological model. It is shown that, as a result of interaction the isotropization process of the expansion takes place.

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