Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Justin T. Cole"'
Publikováno v:
Studies in Applied Mathematics. 150:380-419
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36788b6c11b4cf9cad95089a47ebea0d
https://doi.org/10.1111/sapm.12543
https://doi.org/10.1111/sapm.12543
Autor:
Mark J. Ablowitz, Justin T. Cole
In recent years, there has been considerable interest in the study of wave propagation in nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led researchers to manipulate light and discover new and interesting phenome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d96b011dcec997b164c34004c0ef949
http://arxiv.org/abs/2212.11993
http://arxiv.org/abs/2212.11993
Autor:
Justin T. Cole, Mark J. Ablowitz
Publikováno v:
Physical Review Letters. 127
Rogue waves are abnormally large waves which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, one time (1+1) nonlinear Schr\"odinger equation is often used to model rogue waves; it is an enve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::996cd73c93acd34eb480609135d647b9
https://doi.org/10.1103/physrevlett.127.104101
https://doi.org/10.1103/physrevlett.127.104101
Publikováno v:
Studies in Applied Mathematics. 142:269-313
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9260069652317d7a6250db9834a7adc
https://doi.org/10.1111/sapm.12254
https://doi.org/10.1111/sapm.12254
The Peierls-Nabarro barrier is a discrete effect that frequently occurs in discrete nonlinear systems. A signature of the barrier is the slowing and eventual stopping of discrete solitary waves. This work examines intense electromagnetic waves propag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b962b6925146fa4617b5d6dd8f6390e
Publikováno v:
Proc Math Phys Eng Sci
The semi-classical Korteweg-deVries equation for step-like data is considered with a small parameter in front of the highest derivative. Using perturbation analysis Whitham theory is constructed to higher order. This allows the order one phase and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41e3c42aabfe6ed0e6eb735fcf78aeaf
http://arxiv.org/abs/2006.03924
http://arxiv.org/abs/2006.03924
Autor:
Mark J. Ablowitz, Justin T. Cole
Publikováno v:
Physical Review A. 101
Topologically protected waves in the linearly polarized Maxwell's equations with gyrotropic, magneto-optic media were studied a decade ago both computationally and experimentally. This paper develops a robust tight-binding model for this system that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::144ab8b12b2cb61e660166e558eb228b
https://doi.org/10.1103/physreva.101.023811
https://doi.org/10.1103/physreva.101.023811
Autor:
Katherine L. Reinshagen, Justin T Cole, Lorenz Epprecht, Daniel J. Lee, Fred G. Barker, Nicholas A. Dewyer
Publikováno v:
Otologyneurotology : official publication of the American Otological Society, American Neurotology Society [and] European Academy of Otology and Neurotology. 41(1)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd5cde05b7e218e43489b658fbdcb073
https://pubmed.ncbi.nlm.nih.gov/31834188
https://pubmed.ncbi.nlm.nih.gov/31834188
Autor:
Mark J. Ablowitz, Justin T. Cole
Publikováno v:
Science. 368:821-822
A laser-fabricated waveguide array creates a nonlinear medium that supports solitons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::505b269e93d9417abaf5570f6dc3bac4
https://doi.org/10.1126/science.abb5162
https://doi.org/10.1126/science.abb5162
Autor:
Ziad H. Musslimani, Justin T. Cole
Publikováno v:
Physica D: Nonlinear Phenomena. 313:26-36
Spectral transverse instabilities of one-dimensional solitary wave solutions to the two-dimensional nonlinear Schrodinger (NLS) equation with fourth-order dispersion/diffraction subject to higher-dimensional perturbations are studied. A linear bounda
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ec054daa3052673212a18bf618f8480
https://doi.org/10.1016/j.physd.2015.09.005
https://doi.org/10.1016/j.physd.2015.09.005