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This article is cited in 3 scientific papers (total in 3 papers)
Asymptotics of rarefaction wave solution to the mKdV equation
A. Minakov Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
Key words and phrases:
nonlinear equations, Riemann–Hilbert problem, the steepest descent method, asymptotics.
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MSC: 35Q15,35B40 Received: 04.04.2010
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A. Minakov, “Asymptotics of rarefaction wave solution to the mKdV equation”, Zh. Mat. Fiz. Anal. Geom., 7:1 (2011), 59–86
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\yr 2011
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This publication is cited in the following articles:
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V. Kotlyarov, A. Minakov, “Step-initial function to the mKdV equation: hyper-elliptic long-time asymptotics of the solution”, Zhurn. matem. fiz., anal., geom., 8:1 (2012), 38–62
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Kotlyarov V. Minakov A., “Modulated Elliptic Wave and Asymptotic Solitons in a Shock Problem To the Modified Korteweg-de Vries Equation”, J. Phys. A-Math. Theor., 48:30 (2015), 305201
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Iryna Egorova, Johanna Michor, Gerald Teschl, “Long-time asymptotics for the Toda shock problem: non-overlapping spectra”, Zhurn. matem. fiz., anal., geom., 14:4 (2018), 406–451
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