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Dionyssios Mantzavinos
Title
Cited by
Cited by
Year
Universal nature of the nonlinear stage of modulational instability
G Biondini, D Mantzavinos
Physical review letters 116 (4), 043902, 2016
1052016
Long‐time asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions at infinity and asymptotic stage of modulational instability
G Biondini, D Mantzavinos
Communications on Pure and Applied Mathematics 70 (12), 2300-2365, 2017
832017
The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation
AA Himonas, D Mantzavinos
Nonlinear Analysis: Theory, Methods & Applications 95, 499-529, 2014
732014
The nonlinear Schrödinger equation on the half-line
A Fokas, A Himonas, D Mantzavinos
Transactions of the American Mathematical Society 369 (1), 681-709, 2017
622017
Oscillation structure of localized perturbations in modulationally unstable media
G Biondini, S Li, D Mantzavinos
Physical Review E 94 (6), 060201, 2016
422016
Universal behavior of modulationally unstable media
G Biondini, S Li, D Mantzavinos, S Trillo
SIAM Review 60 (4), 888-908, 2018
372018
Hölder continuity for the Fokas–Olver–Rosenau–Qiao equation
AA Himonas, D Mantzavinos
Journal of Nonlinear Science 24 (6), 1105-1124, 2014
372014
The Korteweg–de Vries equation on the half-line
AS Fokas, AA Himonas, D Mantzavinos
Nonlinearity 29 (2), 489, 2016
362016
An 𝑎𝑏-family of equations with peakon traveling waves
A Himonas, D Mantzavinos
Proceedings of the American Mathematical Society 144 (9), 3797-3811, 2016
322016
The “good” Boussinesq equation on the half-line
AA Himonas, D Mantzavinos
Journal of Differential Equations 258 (9), 3107-3160, 2015
302015
The Cauchy problem for a 4-parameter family of equations with peakon traveling waves
AA Himonas, D Mantzavinos
Nonlinear Analysis 133, 161-199, 2016
262016
Fokas transform method for a brain tumor invasion model with heterogeneous diffusion in 1+ 1 dimensions
D Mantzavinos, MG Papadomanolaki, YG Saridakis, AG Sifalakis
Applied Numerical Mathematics 104, 47-61, 2016
232016
The initial value problem for a Novikov system
AA Himonas, D Mantzavinos
Journal of Mathematical Physics 57 (7), 071503, 2016
212016
The unified method for the heat equation: I. non-separable boundary conditions and non-local constraints in one dimension
D Mantzavinos, AS Fokas
European Journal of Applied Mathematics 24 (6), 857-886, 2013
182013
Well-posedness of the nonlinear Schrödinger equation on the half-plane
AA Himonas, D Mantzavinos
Nonlinearity 33 (10), 5567, 2020
152020
The Kadomtsev–Petviashvili II equation on the half-plane
D Mantzavinos, AS Fokas
Physica D: Nonlinear Phenomena 240 (6), 477-511, 2011
152011
Long-time asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions in the presence of a discrete spectrum
G Biondini, S Li, D Mantzavinos
Communications in Mathematical Physics 382 (3), 1495-1577, 2021
142021
The nonlinear Schrödinger equation on the half-line with Neumann boundary conditions
AA Himonas, D Mantzavinos, F Yan
Applied Numerical Mathematics 141, 2-18, 2019
132019
The Korteweg-de Vries equation on an interval
AA Himonas, D Mantzavinos, F Yan
Journal of Mathematical Physics 60 (5), 051507, 2019
132019
Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows
G Biondini, J Lottes, D Mantzavinos
Studies in Applied Mathematics 146 (2), 371-439, 2021
122021
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