Edit Profile (opens in new tab) Ratliff, Daniel J. Compute Distance To: Compute 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1375.74047Bridges, Thomas J.; Ratliff, Daniel J. 8 2017 Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation. Zbl 1371.35257Ratliff, Daniel J.; Bridges, Thomas J. 7 2016 Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics. Zbl 1415.35231Ratliff, Daniel J.; Bridges, Thomas J. 6 2016 Phase dynamics of periodic wavetrains leading to the 5th order KP equation. Zbl 1378.35272Ratliff, Daniel J. 5 2017 Double degeneracy in multiphase modulation and the emergence of the Boussinesq equation. Zbl 1388.35174Ratliff, Daniel J. 4 2018 Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321Bridges, Thomas J.; Ratliff, Daniel J. 4 2019 Phase dynamics of periodic waves leading to the Kadomtsev-Petviashvili equation in \(3+1\) dimensions. Zbl 1371.35256Ratliff, Daniel J.; Bridges, Thomas J. 4 2015 The modulation of multiple phases leading to the modified Korteweg-de Vries equation. Zbl 1406.35334Ratliff, D. J. 3 2018 Reduction to modified KdV and its KP-like generalization via phase modulation. Zbl 1403.35266Ratliff, Daniel J.; Bridges, Thomas J. 3 2018 Dispersive dynamics in the characteristic moving frame. Zbl 1427.35242Ratliff, D. J. 3 2019 Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086Bridges, Thomas J.; Ratliff, Daniel J. 3 2021 Nonlinear modulation near the Lighthill instability threshold in \(2+1\) Whitham theory. Zbl 1402.35177Bridges, Thomas J.; Ratliff, Daniel J. 2 2018 Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324Ratliff, Daniel J. 1 2019 On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain. Zbl 1480.35360Ratliff, Daniel J. 1 2017 Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086Bridges, Thomas J.; Ratliff, Daniel J. 3 2021 Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321Bridges, Thomas J.; Ratliff, Daniel J. 4 2019 Dispersive dynamics in the characteristic moving frame. Zbl 1427.35242Ratliff, D. J. 3 2019 Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324Ratliff, Daniel J. 1 2019 Double degeneracy in multiphase modulation and the emergence of the Boussinesq equation. Zbl 1388.35174Ratliff, Daniel J. 4 2018 The modulation of multiple phases leading to the modified Korteweg-de Vries equation. Zbl 1406.35334Ratliff, D. J. 3 2018 Reduction to modified KdV and its KP-like generalization via phase modulation. Zbl 1403.35266Ratliff, Daniel J.; Bridges, Thomas J. 3 2018 Nonlinear modulation near the Lighthill instability threshold in \(2+1\) Whitham theory. Zbl 1402.35177Bridges, Thomas J.; Ratliff, Daniel J. 2 2018 On the elliptic-hyperbolic transition in Whitham modulation theory. Zbl 1375.74047Bridges, Thomas J.; Ratliff, Daniel J. 8 2017 Phase dynamics of periodic wavetrains leading to the 5th order KP equation. Zbl 1378.35272Ratliff, Daniel J. 5 2017 On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain. Zbl 1480.35360Ratliff, Daniel J. 1 2017 Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation. Zbl 1371.35257Ratliff, Daniel J.; Bridges, Thomas J. 7 2016 Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics. Zbl 1415.35231Ratliff, Daniel J.; Bridges, Thomas J. 6 2016 Phase dynamics of periodic waves leading to the Kadomtsev-Petviashvili equation in \(3+1\) dimensions. Zbl 1371.35256Ratliff, Daniel J.; Bridges, Thomas J. 4 2015 all cited Publications top 5 cited Publications all top 5 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. all top 5 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 all top 5 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) Citations by Year