Items where Author is "Ratliff, Daniel"

Bridges, Thomas J. and Ratliff, Daniel (2022) Reappraisal of Whitham’s 1967 theory for wave–meanflow interaction in shallow water. Wave Motion, 115. p. 103050. ISSN 0165-2125

Carretero-González, R., Cisneros-Ake, L.A., Decker, R., Koutsokostas, G.N., Frantzeskakis, D.J., Kevrekidis, P.G. and Ratliff, Daniel (2022) Kink–antikink stripe interactions in the two-dimensional sine–Gordon equation. Communications in Nonlinear Science and Numerical Simulation, 109. p. 106123. ISSN 1007-5704

Ratliff, Daniel (2022) Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics. Nonlinearity, 35 (1). pp. 30-65. ISSN 0951-7715

Subramanian, Priya, Ratliff, Daniel, Rucklidge, Alastair M. and Archer, Andrew J. (2021) Density Distribution in Soft Matter Crystals and Quasicrystals. Physical Review Letters, 126 (21). ISSN 0031-9007

Bridges, Thomas J. and Ratliff, Daniel (2021) Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory. Journal of Nonlinear Science, 31 (1). p. 7. ISSN 0938-8974

Castelino, Jennifer K., Ratliff, Daniel, Rucklidge, Alastair M., Subramanian, Priya and Topaz, Chad M. (2020) Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems. Physica D: Nonlinear Phenomena, 409. p. 132475. ISSN 0167-2789

Ratliff, Daniel, Archer, A. J., Subramanian, P. and Rucklidge, A. M. (2019) Which Wave Numbers Determine the Thermodynamic Stability of Soft Matter Quasicrystals? Physical Review Letters, 123 (14). p. 148004. ISSN 0031-9007

Archer, Andrew J., Ratliff, Daniel, Rucklidge, Alastair M. and Subramanian, Priya (2019) Deriving phase field crystal theory from dynamical density functional theory: Consequences of the approximations. Physical Review E, 100 (2). 022140. ISSN 2470-0045

Bridges, Thomas J. and Ratliff, Daniel (2019) Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Studies in Applied Mathematics, 142 (3). pp. 314-335. ISSN 0022-2526

Ratliff, Daniel (2019) Flux singularities in multiphase wavetrains and the Kadomtsev‐Petviashvili equation with applications to stratified hydrodynamics. Studies in Applied Mathematics, 142 (2). pp. 109-138. ISSN 0022-2526

Ratliff, Daniel (2018) The modulation of multiple phases leading to the modified Korteweg–de Vries equation. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28 (9). 093117. ISSN 1054-1500

Ratliff, Daniel and Bridges, Thomas J (2018) Reduction to modified KdV and its KP-like generalization via phase modulation. Nonlinearity, 31 (8). pp. 3794-3813. ISSN 0951-7715

Ratliff, Daniel (2018) Double Degeneracy in Multiphase Modulation and the Emergence of the Boussinesq Equation. Studies in Applied Mathematics, 140 (1). pp. 48-77. ISSN 0022-2526

Bridges, Thomas J. and Ratliff, Daniel (2017) On the Elliptic-Hyperbolic Transition in Whitham Modulation Theory. SIAM Journal on Applied Mathematics, 77 (6). pp. 1989-2011. ISSN 0036-1399

Ratliff, Daniel (2017) Phase dynamics of periodic wavetrains leading to the 5th order KP equation. Physica D: Nonlinear Phenomena, 353/4. pp. 11-19. ISSN 0167-2789

Ratliff, Daniel and Bridges, Thomas J. (2016) Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg–de Vries equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2196). p. 20160456. ISSN 1364-5021

Bridges, Thomas J. and Ratliff, Daniel (2016) Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics. Physics of Fluids, 28 (6). 062103. ISSN 1070-6631

Ratliff, Daniel and Bridges, Thomas J. (2015) Phase dynamics of periodic waves leading to the Kadomtsev–Petviashvili equation in 3+1 dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471 (2178). p. 20150137. ISSN 1364-5021