## Ratliff, Daniel J.

Compute Distance To:
 Author ID: ratliff.daniel-j Published as: Ratliff, Daniel J.; Ratliff, D. J.
 Documents Indexed: 17 Publications since 2015 Co-Authors: 5 Co-Authors with 9 Joint Publications 115 Co-Co-Authors

### Co-Authors

 8 single-authored 8 Bridges, Thomas J. 1 Castelino, Jennifer K. 1 Rucklidge, Alastair M. 1 Subramanian, Priya 1 Topaz, Chad M.
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### Serials

 3 Studies in Applied Mathematics 3 Physica D 2 Nonlinearity 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 IMA Journal of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Chaos 1 Proceedings A. Royal Society of London 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Water Waves
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### Fields

 16 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

14 Publications have been cited 54 times in 21 Documents Cited by Year
On the elliptic-hyperbolic transition in Whitham modulation theory. Zbl 1375.74047
Bridges, Thomas J.; Ratliff, Daniel J.
2017
Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation. Zbl 1371.35257
Ratliff, Daniel J.; Bridges, Thomas J.
2016
Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics. Zbl 1415.35231
Ratliff, Daniel J.; Bridges, Thomas J.
2016
Phase dynamics of periodic wavetrains leading to the 5th order KP equation. Zbl 1378.35272
Ratliff, Daniel J.
2017
Double degeneracy in multiphase modulation and the emergence of the Boussinesq equation. Zbl 1388.35174
Ratliff, Daniel J.
2018
Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321
Bridges, Thomas J.; Ratliff, Daniel J.
2019
Phase dynamics of periodic waves leading to the Kadomtsev-Petviashvili equation in $$3+1$$ dimensions. Zbl 1371.35256
Ratliff, Daniel J.; Bridges, Thomas J.
2015
The modulation of multiple phases leading to the modified Korteweg-de Vries equation. Zbl 1406.35334
Ratliff, D. J.
2018
Reduction to modified KdV and its KP-like generalization via phase modulation. Zbl 1403.35266
Ratliff, Daniel J.; Bridges, Thomas J.
2018
Dispersive dynamics in the characteristic moving frame. Zbl 1427.35242
Ratliff, D. J.
2019
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086
Bridges, Thomas J.; Ratliff, Daniel J.
2021
Nonlinear modulation near the Lighthill instability threshold in $$2+1$$ Whitham theory. Zbl 1402.35177
Bridges, Thomas J.; Ratliff, Daniel J.
2018
Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324
Ratliff, Daniel J.
2019
On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain. Zbl 1480.35360
Ratliff, Daniel J.
2017
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086
Bridges, Thomas J.; Ratliff, Daniel J.
2021
Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321
Bridges, Thomas J.; Ratliff, Daniel J.
2019
Dispersive dynamics in the characteristic moving frame. Zbl 1427.35242
Ratliff, D. J.
2019
Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324
Ratliff, Daniel J.
2019
Double degeneracy in multiphase modulation and the emergence of the Boussinesq equation. Zbl 1388.35174
Ratliff, Daniel J.
2018
The modulation of multiple phases leading to the modified Korteweg-de Vries equation. Zbl 1406.35334
Ratliff, D. J.
2018
Reduction to modified KdV and its KP-like generalization via phase modulation. Zbl 1403.35266
Ratliff, Daniel J.; Bridges, Thomas J.
2018
Nonlinear modulation near the Lighthill instability threshold in $$2+1$$ Whitham theory. Zbl 1402.35177
Bridges, Thomas J.; Ratliff, Daniel J.
2018
On the elliptic-hyperbolic transition in Whitham modulation theory. Zbl 1375.74047
Bridges, Thomas J.; Ratliff, Daniel J.
2017
Phase dynamics of periodic wavetrains leading to the 5th order KP equation. Zbl 1378.35272
Ratliff, Daniel J.
2017
On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain. Zbl 1480.35360
Ratliff, Daniel J.
2017
Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation. Zbl 1371.35257
Ratliff, Daniel J.; Bridges, Thomas J.
2016
Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics. Zbl 1415.35231
Ratliff, Daniel J.; Bridges, Thomas J.
2016
Phase dynamics of periodic waves leading to the Kadomtsev-Petviashvili equation in $$3+1$$ dimensions. Zbl 1371.35256
Ratliff, Daniel J.; Bridges, Thomas J.
2015
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### Cited by 22 Authors

 11 Ratliff, Daniel J. 7 Bridges, Thomas J. 3 El, Gennady A. 3 Hoefer, Mark A. 2 Congy, Thibault 2 Kostianko, Anna 1 Anco, Stephen C. 1 Aydagulov, Rustem R. 1 Biondini, Gino 1 Gandarias Núñez, Maria Luz 1 Gandzha, Ivan S. 1 Li, Erbo 1 Minakov, Alexander 1 Recio, Elena 1 Schneider, Guido 1 Sedletsky, Yuri V. 1 Shearer, Michael 1 Wang, Dengshan 1 Xu, Ling 1 Xuan, Zuxing 1 Xue, Yushan 1 Zelik, Sergey V.
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### Cited in 15 Serials

 3 Physica D 2 Nonlinearity 2 Studies in Applied Mathematics 2 Journal of Nonlinear Science 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 SIAM Journal on Applied Mathematics 1 Nonlinear Dynamics 1 Chaos 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Water Waves
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### Cited in 7 Fields

 20 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Fluid mechanics (76-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)