Zobrazeno 1 - 10
of 55
pro vyhledávání: '"C. M. Schober"'
Autor:
C. M. Schober, A. L. Islas
Publikováno v:
Frontiers in Physics, Vol 9 (2021)
Spatially periodic breather solutions (SPBs) of the nonlinear Schrödinger (NLS) equation are frequently used to model rogue waves and are typically unstable. In this paper we study the effects of dissipation and higher order nonlinearities on the st
Externí odkaz:
https://doaj.org/article/e0784cc4be064a8589cc4f87440a7d39
Autor:
A. Calini, C. M. Schober
Publikováno v:
Natural Hazards and Earth System Sciences, Vol 14, Iss 6, Pp 1431-1440 (2014)
In this article we conduct a broad numerical investigation of stability of breather-type solutions of the nonlinear Schrödinger (NLS) equation, a widely used model of rogue wave generation and dynamics in deep water. NLS breathers rising over an uns
Externí odkaz:
https://doaj.org/article/94c80af679514ca19934d648316e3a93
Autor:
A. Islas, C. M. Schober
Publikováno v:
Natural Hazards and Earth System Sciences, Vol 11, Iss 2, Pp 383-399 (2011)
Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding
Externí odkaz:
https://doaj.org/article/dcb8c68d7f98449d8494ae958d0ee176
Publikováno v:
Applied Numerical Mathematics. 141:36-43
We study the linear stability of the Peregrine breather both numerically and with analytical arguments based on its derivation as the singular limit of a single-mode spatially periodic breather as the spatial period becomes infinite. By constructing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ed16e7c26cfee2428a1be22a4387a59
https://doi.org/10.1016/j.apnum.2018.11.005
https://doi.org/10.1016/j.apnum.2018.11.005
Autor:
C. M. Schober, A. Islas
Publikováno v:
The European Physical Journal Plus. 135
Spatially periodic breather solutions (SPBs) of the nonlinear Schrodinger (NLS) equation, i.e., the heteroclinic orbits of unstable Stokes waves, are typically unstable. In this paper, we study the effects of dissipation on single-mode and multi-mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9149f6035de6a555b21741069e2aea0
https://doi.org/10.1140/epjp/s13360-020-00660-w
https://doi.org/10.1140/epjp/s13360-020-00660-w
Autor:
Annalisa Calini, C. M. Schober
Publikováno v:
Wave Motion. 71:5-17
Rogue waves in random sea states modeled by the JONSWAP power spectrum are high amplitude waves arising over non-uniform backgrounds that cannot be viewed as small amplitude modulations of Stokes waves. In the context of Nonlinear Schrodinger (NLS) m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8be2283162f807ad84885681439a3c3e
https://doi.org/10.1016/j.wavemoti.2016.06.007
https://doi.org/10.1016/j.wavemoti.2016.06.007
Publikováno v:
Mathematics and Computers in Simulation. 127:101-113
The nonlinear Schrodinger (NLS) equation and its higher order extension (HONLS equation) are used extensively in modeling various phenomena in nonlinear optics and wave mechanics. Fast and accurate nonlinear numerical techniques are needed for furthe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d13c512a71b3cb1e6564ce479267892
https://doi.org/10.1016/j.matcom.2013.05.013
https://doi.org/10.1016/j.matcom.2013.05.013
Autor:
C. M. Schober, A. Islas
Publikováno v:
AIP Conference Proceedings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e80069a23d42a8a10f13fd311700716b
https://doi.org/10.1063/1.5064894
https://doi.org/10.1063/1.5064894
Autor:
M. Strawn, C. M. Schober
Publikováno v:
AIP Conference Proceedings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f522b8cad7864f4a617eb2984fd86205
https://doi.org/10.1063/1.5007371
https://doi.org/10.1063/1.5007371
Autor:
Annalisa Calini, C. M. Schober
Publikováno v:
Natural Hazards and Earth System Sciences, Vol 14, Iss 6, Pp 1431-1440 (2014)
In this article we conduct a broad numerical investigation of stability of breather-type solutions of the nonlinear Schrödinger (NLS) equation, a widely used model of rogue wave generation and dynamics in deep water. NLS breathers rising over an uns
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48e79ed92c5c4792a95775872dbc55fb
http://www.nat-hazards-earth-syst-sci.net/14/1431/2014/nhess-14-1431-2014.pdf
http://www.nat-hazards-earth-syst-sci.net/14/1431/2014/nhess-14-1431-2014.pdf