Daniel Ratliff
Title
Cited by
Cited by
Year
Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics
DJ Ratliff, TJ Bridges
Physica D: Nonlinear Phenomena 333, 107-116, 2016
242016
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
132016
On The Elliptic-Hyperbolic Transition in Whitham Modulation Theory
T Bridges, D Ratliff
SIAM Journal on Applied Mathematics, 2017
122017
Double Degeneracy in Multiphase Modulation and the Emergence of the Boussinesq Equation
DJ Ratliff
Studies in Applied Mathematics 140 (1), 48-77, 2017
122017
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
112015
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
82019
Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics
TJ Bridges, DJ Ratliff
Physics of Fluids 28, 062103, 2016
72016
Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals?
DJ Ratliff, AJ Archer, P Subramanian, AM Rucklidge
arXiv preprint arXiv:1907.05805, 2019
62019
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
62017
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
52019
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
52018
Phase dynamics of periodic wavetrains leading to the 5th order KP equation
DJ Ratliff
Physica D: Nonlinear Phenomena 353, 11-19, 2017
52017
Dispersive Dynamics in the Characteristic Moving Frame
DJ Ratliff
Proc. Roy. Soc A. 475 (2223), 2019
42019
Reduction to modified KdV and its KP-like generalization via phase modulation
DJ Ratliff, TJ Bridges
Nonlinearity 31 (8), 3794, 2018
42018
The Modulation of Multiple Phases Leading to the Modified Korteweg de Vries Equation
DJ Ratliff
Chaos 28 (9), 093117, 2018
32018
Vanishing characteristic speeds and critical dispersive points in nonlinear interfacial wave problems
DJ Ratliff
Physics of Fluids 29 (11), 112104-112116, 2017
32017
Conservation Laws, Modulation and the Emergence of Universal Forms
DJ Ratliff
PQDT-Global, 2017
32017
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
22020
Flux singularities in multiphase wavetrains and the Kadomtsev‐Petviashvili equation with applications to stratified hydrodynamics
DJ Ratliff
Studies in Applied Mathematics 142, 2019
22019
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory
TJ Bridges, DJ Ratliff
arXiv preprint arXiv:2005.01022, 2020
12020
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Articles 1–20