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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
2132009
A Riemann–Hilbert approach for the Degasperis–Procesi equation
A Boutet de Monvel, D Shepelsky
Nonlinearity 26 (7), 2081-2107, 2013
106*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
962004
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
962003
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
912006
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
742006
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
692017
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
692011
The Ostrovsky-Vakhnenko equation by a Riemann-Hilbert approach
AB de Monvel, D Shepelsky
arXiv preprint arXiv:1311.0495, 2013
612013
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
Y Rybalko, D Shepelsky
Journal of Mathematical Physics 60 (3), 2019
552019
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
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
51*2015
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
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
462004
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
A Riemann-Hilbert approach for the Novikov equation
A Boutet de Monvel, D Shepelsky, L Zielinski
arXiv preprint arXiv:1603.08842, 2016
352016
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
352013
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
352011
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