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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
1382016
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
1032017
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
872017
The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation
AA Himonas, D Mantzavinos
Nonlinear Analysis: Theory, Methods & Applications 95, 499-529, 2014
862014
The Korteweg–de Vries equation on the half-line
AS Fokas, AA Himonas, D Mantzavinos
Nonlinearity 29 (2), 489, 2016
592016
Universal behavior of modulationally unstable media
G Biondini, S Li, D Mantzavinos, S Trillo
SIAM Review 60 (4), 888-908, 2018
542018
Oscillation structure of localized perturbations in modulationally unstable media
G Biondini, S Li, D Mantzavinos
Physical Review E 94 (6), 060201, 2016
462016
Hölder continuity for the Fokas–Olver–Rosenau–Qiao equation
AA Himonas, D Mantzavinos
Journal of Nonlinear Science 24, 1105-1124, 2014
462014
The “good” Boussinesq equation on the half-line
AA Himonas, D Mantzavinos
Journal of Differential Equations 258 (9), 3107-3160, 2015
432015
An 𝑎𝑏-family of equations with peakon traveling waves
A Himonas, D Mantzavinos
Proceedings of the American Mathematical Society 144 (9), 3797-3811, 2016
362016
Well-posedness of the nonlinear Schrödinger equation on the half-plane
AA Himonas, D Mantzavinos
Nonlinearity 33 (10), 5567, 2020
312020
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, 1495-1577, 2021
282021
The Korteweg-de Vries equation on an interval
AA Himonas, D Mantzavinos, F Yan
Journal of Mathematical Physics 60 (5), 2019
282019
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
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
252013
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), 2016
202016
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
182021
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
182019
Soliton trapping, transmission, and wake in modulationally unstable media
G Biondini, S Li, D Mantzavinos
Physical Review E 98 (4), 042211, 2018
172018
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