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”, Журн. матем. физ., анал., геом., 13:2 (2017), 119–153
V. P. Kotlyarov, E. A. Moskovchenko, “Matrix Riemann–Hilbert Problems and Maxwell–Bloch Equations without Spectral Broadening”, Журн. матем. физ., анал., геом., 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
О. М. Киселев, “Асимптотика решений многомерных интегрируемых уравнений и их возмущений”, Уравнения математической физики, СМФН, 11, МАИ, М., 2004, 3–149 ; 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