Abstract:
A method is proposed by means of which one can in principle decide whether a given
nonlinear differential equation has an LL-A-pair and construct this pair. The method
is applied to the equation describing the nonresonant interaction of electromagnetic
radiation with a two-level medium.
Citation:
V. A. Andreev, “On the connection between “pseudopotentials” and the inverse scattering problem method”, TMF, 36:3 (1978), 335–344; Theoret. and Math. Phys., 36:3 (1978), 773–779
\Bibitem{And78}
\by V.~A.~Andreev
\paper On the connection between ``pseudopotentials'' and the inverse scattering problem method
\jour TMF
\yr 1978
\vol 36
\issue 3
\pages 335--344
\mathnet{http://mi.mathnet.ru/tmf3085}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=511316}
\zmath{https://zbmath.org/?q=an:0409.35063}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 36
\issue 3
\pages 773--779
\crossref{https://doi.org/10.1007/BF01035753}
Linking options:
https://www.mathnet.ru/eng/tmf3085
https://www.mathnet.ru/eng/tmf/v36/i3/p335
This publication is cited in the following 5 articles:
V. A. Andreev, “Matrix sine-Gordon equation”, Theoret. and Math. Phys., 84:3 (1990), 920–929
A.I. Maimistov, A.M. Basharov, S.O. Elyutin, Yu.M. Sklyarov, “Present state of self-induced transparency theory”, Physics Reports, 191:1 (1990), 1
V. A. Andreev, “Odd bases of Lie superalgebras and integrable equations”, Theoret. and Math. Phys., 72:1 (1987), 758–764
V. A. Andreev, “Bäcklund transformations of the Painlevé equations and rational solutions of the Korteweg–de Vries equation”, Theoret. and Math. Phys., 61:1 (1984), 973–976
A.I. Maimistov, E.A. Manykin, “Prolongation structure for the reduced Maxwell-Bloch equations describing the two-photon self-induced transparency”, Physics Letters A, 95:5 (1983), 216
Citation in format AMSBIB
Contact us: