Exact Solutions of the Self-Induced Transparency Equations

1971 ◽  
Vol 27 (6) ◽  
pp. 330-333 ◽  
Author(s):  
R. K. Bullough ◽  
F. Ahmad
Keyword(s):  
Exact Solutions ◽  
The Self ◽  
Induced Transparency

scholarly journals Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

10.14311/1352 ◽  
2011 ◽  
Vol 51 (2) ◽  
Author(s):  
A. Dimakis ◽  
N. Kanning ◽  
F. Müller-Hoissen
Keyword(s):  
Linear System ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Infinite Family ◽  
The Self ◽  
Sine Gordon Equation ◽  
Arbitrary Matrix ◽  
Matrix Size ◽  
Induced Transparency ◽  
Side Result

We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a general result that generates exact solutions from solutions of a linear system of arbitrary matrix size. A side result is a solution formula for the sine-Gordon equation.

The Influence of Level Degeneracy on the Self-Induced Transparency Effect

1968 ◽  
Vol 21 (16) ◽  
pp. 1151-1155 ◽  
Author(s):  
C. K. Rhodes ◽  
A. Szöke ◽  
A. Javan
Keyword(s):  
The Self ◽  
Level Degeneracy ◽  
Induced Transparency

The effect of retarded interaction on the self-induced transparency phenomenon

1979 ◽  
Vol 92 (2) ◽  
pp. 467-472
Author(s):  
V. R. Nagibarov ◽  
O. Kh. Khasanov
Keyword(s):  
The Self ◽  
Induced Transparency

scholarly journals Self-similar cosmological solutions in f(R,T) gravity theory

2021 ◽  
pp. 2150206
Author(s):  
José Antonio Belinchón ◽  
Carlos González ◽  
Sami Dib
Keyword(s):  
Exact Solutions ◽  
The Self ◽  
Exact Form ◽  
Field Equations ◽  
Self Similarity ◽  
Similarity Hypothesis ◽  
Geometrical Quantity ◽  
Cosmological Solutions ◽  
Self Similar ◽  
Matter Collineation

We study the [Formula: see text] cosmological models under the self-similarity hypothesis. We determine the exact form that each physical and geometrical quantity may take in order that the field equations (FE) admit exact self-similar (SS) solutions through the matter collineation approach. We study two models: the case[Formula: see text] and the case [Formula: see text]. In each case, we state general theorems which determine completely the form of the unknown functions [Formula: see text] such that the FE admit SS solutions. We also state some corollaries as limiting cases. These results are quite general and valid for any homogeneous SS metric[Formula: see text] In this way, we are able to generate new cosmological scenarios. As examples, we study two cases by finding exact solutions to these particular models.

The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

2015 ◽  
Vol 7 (5) ◽  
pp. 663-674 ◽  
Author(s):  
Q. Li ◽  
J. B. Zhang ◽  
D. Y. Chen
Keyword(s):  
Exact Solutions ◽  
Spectral Problem ◽  
Inverse Scattering ◽  
Soliton Solutions ◽  
Inverse Scattering Transform ◽  
The Self ◽  
Scattering Transform ◽  
Self Consistent ◽  
Exact Soliton Solutions ◽  
Mkdv Hierarchy

AbstractAnother form of the discrete mKdV hierarchy with self-consistent sources is given in the paper. The self-consistent sources is presented only by the eigenfunctions corresponding to the reduction of the Ablowitz-Ladik spectral problem. The exact soliton solutions are also derived by the inverse scattering transform.

EXACT SOLUTIONS OF THE SELF-DUALITY EQUATIONS ON THE MINKOWSKI SPACE-TIME

2001 ◽  
Vol 12 (06) ◽  
pp. 801-806 ◽  
Author(s):  
V. MANTA ◽  
G. ZET
Keyword(s):  
Gauge Theory ◽  
Exact Solutions ◽  
Minkowski Space ◽  
Space Time ◽  
The Self ◽  
Gauge Fields ◽  
Self Duality ◽  
Minkowski Space Time ◽  
Dynamical Type ◽  
Analytical Program

A SU(2) Gauge Theory with spherical symmetry over the Minkowski space-time is considered. The self-duality equation of the gauge fields are written and their solutions are obtained. Two exact solutions, one of which is statical and another of dynamical type are given. All the calculations are performed using an analytical program written in GRTensor computer algebra package, which runs on the MapleV platform.

Coupled-mode analysis of the self-induced-transparency soliton switch

1992 ◽  
Vol 46 (3) ◽  
pp. 1594-1605 ◽  
Author(s):  
A. Guzman ◽  
F. S. Locati ◽  
M. Romagnoli ◽  
S. Wabnitz
Keyword(s):  
The Self ◽  
Mode Analysis ◽  
Coupled Mode ◽  
Induced Transparency
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