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Daniel Ratliff
Tytuł
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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
562019
Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals?
DJ Ratliff, AJ Archer, P Subramanian, AM Rucklidge
arXiv preprint arXiv:1907.05805, 2019
262019
Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics
DJ Ratliff, TJ Bridges
Physica D: Nonlinear Phenomena 333, 107-116, 2016
252016
Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems
JK Castelino, DJ Ratliff, AM Rucklidge, P Subramanian, CM Topaz
Physica D: Nonlinear Phenomena 409, 132475, 2020
182020
On The Elliptic-Hyperbolic Transition in Whitham Modulation Theory
T Bridges, D Ratliff
SIAM Journal on Applied Mathematics, 2017
172017
Kink–antikink stripe interactions in the two-dimensional sine–Gordon equation
R Carretero-González, LA Cisneros-Ake, R Decker, GN Koutsokostas, ...
Communications in Nonlinear Science and Numerical Simulation 109, 106123, 2022
162022
Double Degeneracy in Multiphase Modulation and the Emergence of the Boussinesq Equation
DJ Ratliff
Studies in Applied Mathematics 140 (1), 48-77, 2017
122017
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
122016
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
122015
Phase dynamics of periodic wavetrains leading to the 5th order KP equation
DJ Ratliff
Physica D: Nonlinear Phenomena 353, 11-19, 2017
82017
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory
TJ Bridges, DJ Ratliff
Journal of Nonlinear Science 31, 1-45, 2021
72021
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
72019
Dispersive Dynamics in the Characteristic Moving Frame
DJ Ratliff
Proc. Roy. Soc A. 475 (2223), 2019
72019
Reduction to modified KdV and its KP-like generalization via phase modulation
DJ Ratliff, TJ Bridges
Nonlinearity 31 (8), 3794, 2018
72018
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
72017
Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics
TJ Bridges, DJ Ratliff
Physics of Fluids 28, 062103, 2016
72016
The challenge to understand the zoo of particle transport regimes during resonant wave-particle interactions for given survey-mode wave spectra
O Allanson, D Ma, A Osmane, JM Albert, J Bortnik, CEJ Watt, S Chapman, ...
Frontiers in Astronomy and Space Sciences 11, 1332931, 2024
62024
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
62018
Conservation Laws, Modulation and the Emergence of Universal Forms
DJ Ratliff
PQDT-Global, 2017
62017
Reappraisal of Whitham's 1967 theory for wave-mean flow interaction in shallow water
TJ Bridges, DJ Ratliff
arXiv preprint arXiv:2203.04033, 2022
52022
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