Filipkovska, M. S.; Kotlyarov, V. P. Propagation of electric field generated by periodic pumping in a stable medium of two-level atoms of the Maxwell-Bloch model. (English) Zbl 1460.78021 J. Math. Phys. 61, No. 12, 123502, 31 p. (2020). Reviewer: Eric Stachura (Marietta) MSC: 78A60 78A40 78M35 37K15 35Q15 35Q60 PDFBibTeX XMLCite \textit{M. S. Filipkovska} and \textit{V. P. Kotlyarov}, J. Math. Phys. 61, No. 12, 123502, 31 p. (2020; Zbl 1460.78021) Full Text: DOI
Kotlyarov, Vladimir; Minakov, Alexander Modulated elliptic wave and asymptotic solitons in a shock problem to the modified Korteweg-de Vries equation. (English) Zbl 1332.35328 J. Phys. A, Math. Theor. 48, No. 30, Article ID 305201, 35 p. (2015). Reviewer: Santosh Bhattarai (Buffalo) MSC: 35Q53 35C08 35Q15 35B40 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{A. Minakov}, J. Phys. A, Math. Theor. 48, No. 30, Article ID 305201, 35 p. (2015; Zbl 1332.35328) Full Text: DOI arXiv
Kotlyarov, V. P.; Moskovchenko, E. A. Matrix Riemann-Hilbert problems and Maxwell-Bloch equations without spectral broadening. (English) Zbl 1301.37052 J. Math. Phys. Anal. Geom. 10, No. 3, 328-349 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 37K15 35Q15 78A46 PDFBibTeX XMLCite \textit{V. P. Kotlyarov} and \textit{E. A. Moskovchenko}, J. Math. Phys. Anal. Geom. 10, No. 3, 328--349 (2014; Zbl 1301.37052) Full Text: DOI Link
Kotlyarov, Vladimir Complete linearization of a mixed problem to the Maxwell-Bloch equations by matrix Riemann-Hilbert problems. (English) Zbl 1287.78003 J. Phys. A, Math. Theor. 46, No. 28, Article ID 285206, 24 p. (2013). Reviewer: Shoukry S. Hassan (Bahrain) MSC: 78A40 78A45 35Q15 78A60 81V80 PDFBibTeX XMLCite \textit{V. Kotlyarov}, J. Phys. A, Math. Theor. 46, No. 28, Article ID 285206, 24 p. (2013; Zbl 1287.78003) Full Text: DOI arXiv
Kotlyarov, V.; Minakov, A. Step-initial function to the MKdV equation: hyper-elliptic long-time asymptotics of the solution. (English) Zbl 1260.35185 J. Math. Phys. Anal. Geom. 8, No. 1, 38-62 (2012). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{A. Minakov}, J. Math. Phys. Anal. Geom. 8, No. 1, 38--62 (2012; Zbl 1260.35185)
Moskovchenko, E. A.; Kotlyarov, V. P. Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior. (English) Zbl 1187.78055 J. Phys. A, Math. Theor. 43, No. 5, Article ID 055205, 31 p. (2010). MSC: 78A60 78A45 35Q15 PDFBibTeX XMLCite \textit{E. A. Moskovchenko} and \textit{V. P. Kotlyarov}, J. Phys. A, Math. Theor. 43, No. 5, Article ID 055205, 31 p. (2010; Zbl 1187.78055) Full Text: DOI
Boutet de Monvel, Anne; Kotlyarov, Vladimir; Shepelsky, Dmitry Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition. (English) Zbl 1165.35464 Int. Math. Res. Not. 2009, No. 3, 547-577 (2009). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35B40 35B05 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Int. Math. Res. Not. 2009, No. 3, 547--577 (2009; Zbl 1165.35464) Full Text: DOI
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. (English) Zbl 1138.35083 C. R., Math., Acad. Sci. Paris 345, No. 11, 615-620 (2007). Reviewer: Jong Yeoul Park (Pusan) MSC: 35Q55 35B40 35B10 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., C. R., Math., Acad. Sci. Paris 345, No. 11, 615--620 (2007; Zbl 1138.35083) Full Text: DOI
Boutet De Monvel, Anne; Kotlyarov, Vladimir The focusing nonlinear Schrödinger equation on the quarter plane with time-periodic boundary condition: A Riemann-Hilbert approach. (English) Zbl 1180.35474 J. Inst. Math. Jussieu 6, No. 4, 579-611 (2007). MSC: 35Q55 37K15 35Q15 PDFBibTeX XMLCite \textit{A. Boutet De Monvel} and \textit{V. Kotlyarov}, J. Inst. Math. Jussieu 6, No. 4, 579--611 (2007; Zbl 1180.35474) Full Text: DOI
Moskovchenko, E. A.; Kotlyarov, V. P. A new Riemann-Hilbert problem in a model of stimulated Raman scattering. (English) Zbl 1111.35053 J. Phys. A, Math. Gen. 39, No. 47, 14591-14610 (2006). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q51 78A25 78A60 PDFBibTeX XMLCite \textit{E. A. Moskovchenko} and \textit{V. P. Kotlyarov}, J. Phys. A, Math. Gen. 39, No. 47, 14591--14610 (2006; Zbl 1111.35053) Full Text: DOI
Boutet de Monvel, A.; Kotlyarov, V. Scattering problem for the Zakharov-Shabat equations on the semi-axis. (English) Zbl 0976.35078 Inverse Probl. 16, No. 6, 1813-1837 (2000). Reviewer: Jan Chrastina (Brno) MSC: 35Q55 35R30 35P25 37K15 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} and \textit{V. Kotlyarov}, Inverse Probl. 16, No. 6, 1813--1837 (2000; Zbl 0976.35078) Full Text: DOI