Universal nature of the nonlinear stage of modulational instability G Biondini, D Mantzavinos Physical review letters 116 (4), 043902, 2016 | 105 | 2016 |

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 | 83 | 2017 |

The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation AA Himonas, D Mantzavinos Nonlinear Analysis: Theory, Methods & Applications 95, 499-529, 2014 | 73 | 2014 |

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 | 62 | 2017 |

Oscillation structure of localized perturbations in modulationally unstable media G Biondini, S Li, D Mantzavinos Physical Review E 94 (6), 060201, 2016 | 42 | 2016 |

Universal behavior of modulationally unstable media G Biondini, S Li, D Mantzavinos, S Trillo SIAM Review 60 (4), 888-908, 2018 | 37 | 2018 |

Hölder continuity for the Fokas–Olver–Rosenau–Qiao equation AA Himonas, D Mantzavinos Journal of Nonlinear Science 24 (6), 1105-1124, 2014 | 37 | 2014 |

The Korteweg–de Vries equation on the half-line AS Fokas, AA Himonas, D Mantzavinos Nonlinearity 29 (2), 489, 2016 | 36 | 2016 |

An 𝑎𝑏-family of equations with peakon traveling waves A Himonas, D Mantzavinos Proceedings of the American Mathematical Society 144 (9), 3797-3811, 2016 | 32 | 2016 |

The “good” Boussinesq equation on the half-line AA Himonas, D Mantzavinos Journal of Differential Equations 258 (9), 3107-3160, 2015 | 30 | 2015 |

The Cauchy problem for a 4-parameter family of equations with peakon traveling waves AA Himonas, D Mantzavinos Nonlinear Analysis 133, 161-199, 2016 | 26 | 2016 |

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 | 23 | 2016 |

The initial value problem for a Novikov system AA Himonas, D Mantzavinos Journal of Mathematical Physics 57 (7), 071503, 2016 | 21 | 2016 |

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 | 18 | 2013 |

Well-posedness of the nonlinear Schrödinger equation on the half-plane AA Himonas, D Mantzavinos Nonlinearity 33 (10), 5567, 2020 | 15 | 2020 |

The Kadomtsev–Petviashvili II equation on the half-plane D Mantzavinos, AS Fokas Physica D: Nonlinear Phenomena 240 (6), 477-511, 2011 | 15 | 2011 |

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 | 14 | 2021 |

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 | 13 | 2019 |

The Korteweg-de Vries equation on an interval AA Himonas, D Mantzavinos, F Yan Journal of Mathematical Physics 60 (5), 051507, 2019 | 13 | 2019 |

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 | 12 | 2021 |