Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Daniel J. Ratliff"'
Autor:
Oliver Allanson, Donglai Ma, Adnane Osmane, Jay M. Albert, Jacob Bortnik, Clare E. J. Watt, Sandra C. Chapman, Joseph Spencer, Daniel J. Ratliff, Nigel P. Meredith, Thomas Elsden, Thomas Neukirch, David P. Hartley, Rachel Black, Nicholas W. Watkins, Sean Elvidge
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 11 (2024)
Quasilinear theories have been shown to well describe a range of transport phenomena in magnetospheric, space, astrophysical and laboratory plasma “weak turbulence” scenarios. It is well known that the resonant diffusion quasilinear theory for th
Externí odkaz:
https://doaj.org/article/6412a26bbcba4276a29df5ad318ee67c
Autor:
Thomas J. Bridges, Daniel J. Ratliff
Publikováno v:
Wave Motion. 115:103050
Autor:
Daniel J. Ratliff, Thomas J. Bridges
Publikováno v:
Studies in Applied Mathematics. 142:314-335
In classical Whitham modulation theory, the transition of the dispersionless Whitham equations from hyperbolic to elliptic is associated with a pair of nonzero purely imaginary eigenvalues coalescing and becoming a complex quartet, suggesting that a
Autor:
Daniel J. Ratliff, Thomas J. Bridges
The multiphase Whitham modulation equations with $N$ phases have $2N$ characteristics which may be of hyperbolic or elliptic type. In this paper a nonlinear theory is developed for coalescence, where two characteristics change from hyperbolic to elli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab00569009d4ead11a49179c3f1f984a
http://arxiv.org/abs/2005.01022
http://arxiv.org/abs/2005.01022
Autor:
Alastair M. Rucklidge, Daniel J. Ratliff, Priya Subramanian, Chad M. Topaz, Jennifer K. Castelino
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between these modes can explain the occurrence of spatially complex steady patter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52e0a6892eb08d436f101d247577910c
https://doi.org/10.1016/j.physd.2020.132475
https://doi.org/10.1016/j.physd.2020.132475
Autor:
Daniel J. Ratliff, Thomas J. Bridges
Publikováno v:
Nonlinearity. 31:3794-3813
The main observation of this paper is that the modified Korteweg-de Vries equation has its natural origin in phase modulation of a basic state such as a periodic travelling wave, or more generally, a family of relative equilibria. Extension to 2 + 1
For soft matter to form quasicrystals an important ingredient is to have two characteristic lengthscales in the interparticle interactions. To be more precise, for stable quasicrystals, periodic modulations of the local density distribution with two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68a3859e194ca8a79f74298efa373dfd
https://eprints.whiterose.ac.uk/150308/1/BEL_sigma.pdf
https://eprints.whiterose.ac.uk/150308/1/BEL_sigma.pdf
Autor:
Daniel J. Ratliff
Publikováno v:
IMA Journal of Applied Mathematics. 82:1151-1170
Autor:
Daniel J. Ratliff
Publikováno v:
Physica D: Nonlinear Phenomena. :11-19
Using the previous approach outlined in Ratliff and Bridges (2016, 2015), a novel method is presented to derive the fifth order Kadomtsev–Petviashvili(KP) equation from periodic wavetrains. As a result, the coefficients and criterion for the fifth
Autor:
Daniel J. Ratliff
Publikováno v:
Studies in Applied Mathematics. 140:48-77
In recent years, a connection between conservation law singularity, or more generally zero characteristics arising within the linear Whitham equations, and the emergence of reduced nonlinear partial differential equations (PDEs) from systems generate