Exact solutions to non-linear chiral field equations

1978 ◽  
Vol 11 (5) ◽  
pp. 995-999 ◽  
Author(s):  
D Ray
Keyword(s):  
Exact Solutions ◽  
Chiral Field ◽  
Field Equations ◽  
Non Linear

Some exact solutions of nonlinear chiral field equations

1984 ◽  
Vol 25 (8) ◽  
pp. 2557-2562 ◽  
Author(s):  
Pranab Krishna Chanda ◽  
Dipankar Ray ◽  
Utpal Kumar De
Keyword(s):  
Exact Solutions ◽  
Chiral Field ◽  
Field Equations

SOLUTIONS FOR THE SU(2) CHIRAL FIELD EQUATIONS WITHOUT SPATIAL SYMMETRY

1989 ◽  
Vol 04 (20) ◽  
pp. 1915-1922
Author(s):  
HANS J. WOSPAKRIK
Keyword(s):  
Harmonic Function ◽  
Exact Solutions ◽  
Harmonic Mappings ◽  
Chiral Field ◽  
Field Equations ◽  
Spatial Symmetry ◽  
Affine Parameter ◽  
Dimensional Spacetime

Some exact solutions for the SU(2) chiral field equations in the Euclidean and Minkowskian four dimensional spacetime without spatial symmetry are presented. This is achieved by using the harmonic mappings method. Precisely, these solutions correspond to the geodesics of the 3-sphere S3, where the affine parameter is a harmonic function of spacetime.

scholarly journals Some nozzle flows found by the hodograph method

1959 ◽  
Vol 1 (1) ◽  
pp. 80-94 ◽  
Author(s):  
T. M. Cherry
Keyword(s):  
Exact Solutions ◽  
Two Dimensions ◽  
Nozzle Design ◽  
Perfect Gas ◽  
Field Equations ◽  
Rigid Boundary ◽  
Hodograph Method ◽  
Isentropic Flow ◽  
Fixed Boundaries ◽  
Nozzle Flows

For investigating the steady irrotational isentropic flow of a perfect gas in two dimensions, the hodograph method is to determine in the first instance the position coordinates x, y and the stream function ψ as functions of velocity compoments, conveniently taken as q (the speed) and θ (direction angle). Inversion then gives ψ, q, θ as functions of x, y. The method has the great advantage that its field equations are linear, so that it is practicable to obtain exact solutions, and from any two solutions an infinity of others are obtainable by superposition. For problems of flow past fixed boundaries the linearity of the field equations is usually offset by non-linearity in the boundary conditions, but this objection does not arise in problems of transsonic nozzle design, where the rigid boundary is the end-point of the investigation.

Investigating cosmology with equation of state

2019 ◽  
Vol 97 (7) ◽  
pp. 752-760 ◽  
Author(s):  
M. Farasat Shamir ◽  
Adnan Malik
Keyword(s):  
Equation Of State ◽  
Exact Solutions ◽  
Scalar Potential ◽  
State Parameter ◽  
Field Equations ◽  
Equation Of State Parameter ◽  
Radiation Universe ◽  
Modified Formula ◽  
Friedmann Robertson Walker ◽  
Dust Universe

The aim of this paper is to investigate the field equations of modified [Formula: see text] theory of gravity, where R and [Formula: see text] represent the Ricci scalar and scalar potential, respectively. We consider the Friedmann–Robertson–Walker space–time for finding some exact solutions by using different values of equation of state parameter. In this regard, different possibilities of the exact solutions have been discussed for dust universe, radiation universe, ultra-relativistic universe, sub-relativistic universe, stiff universe, and dark energy universe. Mainly power law and exponential forms of the scale factor are chosen for the analysis.

Symmetry and Some Exact Solutions of Non-Linear Polywave Equations

1995 ◽  
Vol 31 (2) ◽  
pp. 75-79 ◽  
Author(s):  
W. I Fushchych ◽  
O. V Roman ◽  
R. Z Zhdanov
Keyword(s):  
Exact Solutions ◽  
Non Linear
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