O. M. Kiselev, “Solution of Goursat problem for Maxwell–Bloch equations”, TMF, 98:1 (1994), 29–37; Theoret. and Math. Phys., 98:1 (1994), 20

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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 98, Number 1, Pages 29–37 (Mi tmf1398)

This article is cited in 10 scientific papers (total in 10 papers)

Solution of Goursat problem for Maxwell–Bloch equations

O. M. Kiselev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Full-text PDF (705 kB) Citations (10)

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Abstract: The formal solution for initial-boundary problem for Maxwell–Bloch equations at

$x\ge 0$ ,

$t\ge 0$ is obtained by the inverse scattering transform method.

Received: 18.11.1992

English version:
Theoretical and Mathematical Physics, 1994, Volume 98, Issue 1, Pages 20–26
DOI: https://doi.org/10.1007/BF01015119

Bibliographic databases:

Language: Russian

Citation: O. M. Kiselev, “Solution of Goursat problem for Maxwell–Bloch equations”, TMF, 98:1 (1994), 29–37; Theoret. and Math. Phys., 98:1 (1994), 20–26

Citation in format AMSBIB

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\by O.~M.~Kiselev

\paper Solution of Goursat problem for Maxwell--Bloch equations

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\transl

\jour Theoret. and Math. Phys.

\yr 1994

\vol 98

\issue 1

\pages 20--26

\crossref{https://doi.org/10.1007/BF01015119}

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Linking options:

https://www.mathnet.ru/eng/tmf1398

https://www.mathnet.ru/eng/tmf/v98/i1/p29

This publication is cited in the following 10 articles:

M. Filipkovska, “Initial-Boundary Value Problem for the Maxwell–Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function”, SIGMA, 19 (2023), 096, 39 pp.
M. S. Filipkovska, V. P. Kotlyarov, “Propagation of electric field generated by periodic pumping in a stable medium of two-level atoms of the Maxwell–Bloch model”, Journal of Mathematical Physics, 61:12 (2020)
Vladimir P. Kotlyarov, “A Matrix Baker–Akhiezer Function Associated with the Maxwell–Bloch Equations and their Finite-Gap Solutions”, SIGMA, 14 (2018), 082, 27 pp.
M. S. Filipkovska, V. P. Kotlyarov, E. A. Melamedova (Moskovchenko), “Maxwell–Bloch equations without spectral broadening: gauge equivalence, transformation operators and matrix Riemann–Hilbert problems”, Zhurn. matem. fiz., anal., geom., 13:2 (2017), 119–153
V. P. Kotlyarov, E. A. Moskovchenko, “Matrix Riemann–Hilbert Problems and Maxwell–Bloch Equations without Spectral Broadening”, Zhurn. matem. fiz., anal., geom., 10:3 (2014), 328–349
Vladimir Kotlyarov, “Complete linearization of a mixed problem to the Maxwell–Bloch equations by matrix Riemann–Hilbert problems”, J. Phys. A: Math. Theor., 46:28 (2013), 285206
Alexander Sakhnovich, “Second harmonic generation: Goursat problem on the semi-strip, Weyl functions and explicit solutions”, Inverse Problems, 21:2 (2005), 703
O. M. Kiselev, “Asymptotics of solutions of higher-dimensional integrable equations and their perturbations”, Journal of Mathematical Sciences, 138:6 (2006), 6067–6230
A. A. Zabolotskii, “Dynamics of a light field in a composite integrable model”, J. Exp. Theor. Phys., 93:2 (2001), 221
H Steudel, D J Kaup, “Inverse scattering transform on a finite interval”, J. Phys. A: Math. Gen., 32:34 (1999), 6219

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	202
References:	113
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