Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics DJ Ratliff, TJ Bridges Physica D: Nonlinear Phenomena 333, 107-116, 2016 | 24 | 2016 |

Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg–de Vries equation DJ Ratliff, TJ Bridges Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016 | 13 | 2016 |

On The Elliptic-Hyperbolic Transition in Whitham Modulation Theory T Bridges, D Ratliff SIAM Journal on Applied Mathematics, 2017 | 12 | 2017 |

Double Degeneracy in Multiphase Modulation and the Emergence of the Boussinesq Equation DJ Ratliff Studies in Applied Mathematics 140 (1), 48-77, 2017 | 12 | 2017 |

Phase dynamics of periodic waves leading to the Kadomtsev-Petviashvili equation in 3+ 1 dimensions TJ Bridges, DJ Ratliff Proceedings of the Royal Society of London: Mathematical, Physical and …, 2015 | 11 | 2015 |

Deriving phase field crystal theory from dynamical density functional theory: Consequences of the approximations AJ Archer, DJ Ratliff, AM Rucklidge, P Subramanian Physical Review E 100 (2), 022140, 2019 | 8 | 2019 |

Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics TJ Bridges, DJ Ratliff Physics of Fluids 28, 062103, 2016 | 7 | 2016 |

Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals? DJ Ratliff, AJ Archer, P Subramanian, AM Rucklidge arXiv preprint arXiv:1907.05805, 2019 | 6 | 2019 |

On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain DJ Ratliff IMA Journal of Applied Mathematics, 2017 | 6 | 2017 |

Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic” TJ Bridges, DJ Ratliff Studies in Applied Mathematics 142 (3), 314-335, 2019 | 5 | 2019 |

Nonlinear modulation near the Lighthill instability threshold in 2+ 1 Whitham theory TJ Bridges, DJ Ratliff Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018 | 5 | 2018 |

Phase dynamics of periodic wavetrains leading to the 5th order KP equation DJ Ratliff Physica D: Nonlinear Phenomena 353, 11-19, 2017 | 5 | 2017 |

Dispersive Dynamics in the Characteristic Moving Frame DJ Ratliff Proc. Roy. Soc A. 475 (2223), 2019 | 4 | 2019 |

Reduction to modified KdV and its KP-like generalization via phase modulation DJ Ratliff, TJ Bridges Nonlinearity 31 (8), 3794, 2018 | 4 | 2018 |

The Modulation of Multiple Phases Leading to the Modified Korteweg de Vries Equation DJ Ratliff Chaos 28 (9), 093117, 2018 | 3 | 2018 |

Vanishing characteristic speeds and critical dispersive points in nonlinear interfacial wave problems DJ Ratliff Physics of Fluids 29 (11), 112104-112116, 2017 | 3 | 2017 |

Conservation Laws, Modulation and the Emergence of Universal Forms DJ Ratliff PQDT-Global, 2017 | 3 | 2017 |

Supplementary material forSpatiotemporal chaos and quasipatterns in coupled reaction-diffusion systems' JK Castelino, DJ Ratliff, A Rucklidge, P Subramanian, CM Topaz University of Leeds, 2020 | 2 | 2020 |

Flux singularities in multiphase wavetrains and the Kadomtsev‐Petviashvili equation with applications to stratified hydrodynamics DJ Ratliff Studies in Applied Mathematics 142, 2019 | 2 | 2019 |

Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory TJ Bridges, DJ Ratliff arXiv preprint arXiv:2005.01022, 2020 | 1 | 2020 |