Kotlyarov, Vladimir; Minakov, Alexander Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation. (English) Zbl 1496.35365 J. Math. Phys. 60, No. 12, 123501, 31 p. (2019). MSC: 35Q55 33C47 35C08 81Q80 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{A. Minakov}, J. Math. Phys. 60, No. 12, 123501, 31 p. (2019; Zbl 1496.35365) Full Text: DOI arXiv
Kotlyarov, Vladimir; Minakov, Alexander Riemann-Hilbert problems and the mKdV equation with step initial data: short-time behavior of solutions and the nonlinear Gibbs-type phenomenon. (English) Zbl 1256.35120 J. Phys. A, Math. Theor. 45, No. 32, Article ID 325201, 17 p. (2012). MSC: 35Q53 35R05 33C10 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{A. Minakov}, J. Phys. A, Math. Theor. 45, No. 32, Article ID 325201, 17 p. (2012; Zbl 1256.35120) Full Text: DOI