Preprints:

  1. Alexander Minakov, Question about integral of product of four Hermite polynomials integrated with squared weight. arXiv:1911.03942

  2. Tamara Grava, Alexander Minakov, On the long time asymptotic of the modified Korteweg de Vries equation with step-like initial data. arXiv:1907.11859

  3. A. Minakov, On the solution of the Zakharov-Shabat system, which arises in the analysis of the largest real eigenvalue in the real Ginibre ensemble. arXiv:1905.03369

  4. Boris Dubrovin, Alexander Minakov, On a class of compact perturbations of the special pole-free joint solution of KdV and $P^2_I$. arXiv:1901.07470

Publications in refereed journals:

  1. Vladimir Kotlyarov and Alexander Minakov. Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation, Journal of Mathematical Physics 60, 123501 (2019), https://doi.org/10.1063/1.5096896 arxiv:1905.02493

  2. Marco Bertola, Alexander Minakov, Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data, Anal.Math.Phys. 9, 1761–1818 (2019), arXiv:1711.02362, PDF arxiv:1711.02362 doi:10.1007/s13324-018-0273-1

  3. A. Minakov, Asymptotics of step-like solutions for the Camassa-Holm equation, Journal of Differential Equations, Volume 261, Issue 11, 2016, Pages 6055-6098. http://dx.doi.org/10.1016/j.jde.2016.08.028

  4. V. Kotlyarov and A. Minakov, Modulated elliptic wave and asymptotic solitons in a shock problem to the modified Korteweg-de Vries equation, J. Phys. A 48 (2015), no. 30, 305201, 35 pp. http://iopscience.iop.org/article/10.1088/1751-8113/48/30/305201/meta

  5. A. Minakov, Riemann-Hilbert problem for Camassa-Holm equation with step-like initial data, Journal of Mathematical Analysis and Applications, 2015, Vol. 429, 81-104. http://www.sciencedirect.com/science/article/pii/S0022247X1500284X

  6. P. Exner, A. Minakov, Curvature-induced bound states in Robin waveguides and their asymptotical properties, Journal of Mathematical Physics, 2014, Vol. 55, 122101. http://dx.doi.org/10.1063/1.4903184

  7. P. Exner, A. Minakov, and L. Parnovski, Asymptotic eigenvalue estimates for a Robin problem with a large parameter, Portugal. Math., 2014, Vol. 71, 2, 141-156. http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=71&iss=2&rank=4

  8. V. Kotlyarov and A. Minakov, Riemann-Hilbert problems and the mKdV equation with step initial data: short time behavior of solutions and the nonlinear Gibbs-type phenomenon, J.Phys.A.: Math. Theor., 2012, Vol. 45, 325201, 17 p. http://iopscience.iop.org/1751-8121/45/32/325201/

  9. V. Kotlyarov and A. Minakov, Step-initial function to the mkdv equation: hyper-elliptic long-time asymptotics of the solution, Journal of mathematical physics, analysis, geometry, 2012, Vol. 8, 1, P. 38-62. http://www.mathnet.ru/links/fd82fc5b40799ebb1df608c94a0e34f0/jmag524.pdf

  10. A. Minakov, Long-time behavior of the solution to the mKdV equation with step-like initial data, J.Phys.A.: Math. Theor., 2011, Vol. 44, 085206, 31 p. http://iopscience.iop.org/1751-8121/44/8/085206/

  11. A. Minakov, Asymptotics of rarefaction wave solution to the mKdV equation, Journal of mathematical physics, analysis, geometry, 2011, Vol. 7, 1, P. 59-86. http://www.mathnet.ru/links/1c124addab6ef4524dbc0083b48bdb15/jmag166.pdf

  12. V. Kotlyarov and A. Minakov, Riemann-Hilbert problem to the modified Korteveg - de Vries equation: Long-time dynamics of the steplike initial data, Journal of Mathematical Physics, 2010, Vol. 51, 093056. http://dx.doi.org/10.1063/1.3470505