Boris Dubrovin, Tamara Grava, Christian Klein, Antonio Moro, “On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations”, J Nonlinear Sci, 25, № 3, 2015, 631
Tamara Grava, Christian Klein, “Numerical solution of the small dispersion limit of Korteweg—de Vries and Whitham equations”, Comm Pure Appl Math, 60, № 11, 2007, 1623
V. E. Adler, M. P. Kolesnikov, “Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34 and P3”, Journal of Mathematical Physics, 64, № 10, 2023, 101505
B. I. Suleimanov, “Asymptotics of the Gurevich-Pitaevskii universal special solution of the Korteweg-de Vries equation as |x| → ∞”, Proc. Steklov Inst. Math., 281, № S1, 2013, 137
B. I. Suleimanov, ““Quantizations” of higher Hamiltonian analogues of the Painlevé I and Painlevé II equations with two degrees of freedom”, Funct Anal Its Appl, 48, № 3, 2014, 198
V.R. Kudashev, B.I. Suleimanov, “The effect of small dissipation on the onset of one-dimensional shock waves”, Journal of Applied Mathematics and Mechanics, 65, № 3, 2001, 441
Tom Claeys, “Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation”, Physica D: Nonlinear Phenomena, 241, № 23-24, 2012, 2226
T. Grava, T. Claeys, “The KdV Hierarchy: Universality and a Painlevé Transcendent”, International Mathematics Research Notices, 2012, № 22, 2012, 5063
A. M. Kamchatnov, “Self-similar wave breaking in dispersive Korteweg-de Vries hydrodynamics”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29, № 2, 2019, 023106
Boris Dubrovin, New Trends in Mathematical Physics, 2009, 231