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Dmitry Shepelsky
Dmitry Shepelsky
B.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine
Verified email at ilt.kharkov.ua - Homepage
Title
Cited by
Cited by
Year
Long-time asymptotics for the Camassa–Holm equation
A Boutet de Monvel, A Kostenko, D Shepelsky, G Teschl
SIAM Journal on Mathematical Analysis 41 (4), 1559-1588, 2009
2112009
A Riemann–Hilbert approach for the Degasperis–Procesi equation
A Boutet de Monvel, D Shepelsky
Nonlinearity 26 (7), 2081-2107, 2013
102*2013
The mKdV equation on the half-line
A Boutet de Monvel, AS Fokas, D Shepelsky
Journal of the Institute of Mathematics of Jussieu 3 (2), 139-164, 2004
942004
Analysis of the global relation for the nonlinear Schrödinger equation on the half-line
A Boutet de Monvel, AS Fokas, D Shepelsky
Letters in Mathematical Physics 65 (3), 199-212, 2003
932003
Riemann–Hilbert approach for the Camassa–Holm equation on the line
A Boutet de Monvel, D Shepelsky
Comptes Rendus Mathematique 343 (10), 627-632, 2006
882006
The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions
DG Shepelsky
Adv. Soviet Math 19, 209-231, 1994
861994
Integrable nonlinear evolution equations on a finite interval
A Boutet de Monvel, AS Fokas, D Shepelsky
Communications in mathematical physics 263 (1), 133-172, 2006
732006
Focusing NLS equation: Long-time dynamics of step-like initial data
A Boutet de Monvel, VP Kotlyarov, D Shepelsky
International Mathematics Research Notices 2011 (7), 1613-1653, 2011
672011
The short pulse equation by a Riemann–Hilbert approach
A Boutet de Monvel, D Shepelsky, L Zielinski
Letters in Mathematical Physics 107 (7), 1345-1373, 2017
662017
The Ostrovsky-Vakhnenko equation by a Riemann-Hilbert approach
AB de Monvel, D Shepelsky
arXiv preprint arXiv:1311.0495, 2013
582013
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
Y Rybalko, D Shepelsky
Journal of Mathematical Physics 60 (3), 2019
542019
Painlevé-type asymptotics for the Camassa–Holm equation
A Boutet de Monvel, A Its, D Shepelsky
SIAM Journal on Mathematical Analysis 42 (4), 1854-1873, 2010
542010
Inverse scattering method in electromagnetic sounding theory
EY Khruslov, DG Shepelsky
Inverse problems 10 (1), 1, 1994
521994
Riemann–Hilbert problem in the inverse scattering for the Camassa–Holm equation on the line
A Boutet de Monvel, D Shepelsky
Probability, geometry and integrable systems 55, 53-75, 2008
502008
Long-time asymptotics for the Degasperis-Procesi equation on the half-line
A Boutet de Monvel, J Lenells, D Shepelsky
arXiv preprint arXiv:1508.04097, 2015
48*2015
Initial boundary value problem for the mKdV equation on a finite interval
A Boutet de Monvel, D Shepelsky
Annales de l'institut Fourier 54 (5), 1477-1495, 2004
452004
Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation
A Vasylchenkova, JE Prilepsky, D Shepelsky, A Chattopadhyay
Communications in Nonlinear Science and Numerical Simulation 68, 347-371, 2019
362019
Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition
A Boutet de Monvel, V Kotlyarov, D Shepelsky
International Mathematics Research Notices 2009 (3), 547-577, 2009
352009
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach
A Its, D Shepelsky
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013
342013
The short-wave model for the CamassaHolm equation: a RiemannHilbert approach
A Boutet de Monvel, D Shepelsky, L Zielinski
Inverse Problems 27 (10), 105006, 2011
342011
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