Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Theoretical and Mathematical Physics

Maxwell-Bloch equation and the inverse scattering method

Ildar R. Gabitov, Vladimir Evgen'evich Zakharov, А. В. Михайлов

Published Apr 1, 1985• 81 citations
Publisher
DOI
10.1007/bf01017833

Related papers

The Maxwell-Bloch Equations

Viola Folli

Springer theses•Jan 1, 2012•2 citations

6. Maxwell-Bloch Equations

P. R. Berman, Vladimir S. Malinovsky

Princeton University Press eBooks•Dec 31, 2011•0 citations

Testing the Painlevé property of the Maxwell-Bloch and reduced Maxwell-Bloch equations

P. P. Goldstein

Physics Letters A•Mar 1, 1987•9 citations

Complex solutions of Maxwell–Bloch equations

V. A. Andreev

The method of the inverse scattering problem is used to find solutions of the Maxwell–Bloch equations. It is shown that the area theorem does not apply to complex solutions.

Soviet Journal of Quantum Electronics•Oct 31, 1983•0 citations

Solution of the reduced anisotropic Maxwell-Bloch equations by using the Riemann-Hilbert problem

Alexander A. Zabolotskii

We develop a method of solution for recently found integrable system of the reduced Maxwell-Bloch equations with two components of polarization and with an anisotropic dipole momentum by using the appropriate modification of the inverse scattering transform. The method is based on solution of the Riemann-Hilbert problem with taking into account symmetry properties of corresponding fundamental solutions. We show that these symmetries lead to some particular forms of the inverse scattering transform equations which may be used for finding as soliton-type as radiation-type solutions.

Physical Review E•Mar 23, 2007•12 citations

MAXWELL-BLOCH EQUATIONS

Elsevier eBooks•Jan 1, 1985•0 citations
We develop a method of solution for recently found integrable system of the reduced Maxwell-Bloch equations with two components of polarization and with an anisotropic dipole momentum by using the appropriate modification of the inverse scattering transform. The method is based on solution of the Riemann-Hilbert problem with taking into account symmetry properties of corresponding fundamental solutions. We show that these symmetries lead to some particular forms of the inverse scattering transform equations which may be used for finding as soliton-type as radiation-type solutions.