Maxwell--Bloch equation and the inverse scattering method
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 11-31
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The inverse scattering method is used to construct general solutions of the Maxwell–Bloch system, these solutions being determined by specification of the polarization as $t\to\infty$. The solutions are classified. An approximate solution is obtained for the mixed boundary-value problem for the Maxwell–Bloch system describing the phenomenon of superfluorescence (generation of a pulse from initial fluctuations of the polarization in a mirrorless laser).
@article{TMF_1985_63_1_a1,
author = {I. R. Gabitov and V. E. Zakharov and A. V. Mikhailov},
title = {Maxwell--Bloch equation and the inverse scattering method},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {11--31},
publisher = {mathdoc},
volume = {63},
number = {1},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a1/}
}
TY - JOUR AU - I. R. Gabitov AU - V. E. Zakharov AU - A. V. Mikhailov TI - Maxwell--Bloch equation and the inverse scattering method JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 11 EP - 31 VL - 63 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a1/ LA - ru ID - TMF_1985_63_1_a1 ER -
I. R. Gabitov; V. E. Zakharov; A. V. Mikhailov. Maxwell--Bloch equation and the inverse scattering method. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 11-31. http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a1/