brief communication: multiscaled solitary waves

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ID: 230483
2017
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Abstract
It is analytically shown how competing nonlinearities yield multiscaled structures for internal solitary waves in stratified shallow fluids. These solitary waves only exist for large amplitudes beyond the limit of applicability of the Korteweg–de Vries (KdV) equation or its usual extensions. The multiscaling phenomenon exists or does not exist for almost identical density profiles. The trapped core inside the wave prevents the appearance of such multiple scales within the core area. The structural stability of waves of large amplitudes is briefly discussed. Waves of large amplitudes displaying quadratic, cubic and higher-order nonlinear terms have stable and unstable branches. Multiscaled waves without a vortex core are shown to be structurally unstable. It is anticipated that multiscaling phenomena will exist for solitary waves in various physical contexts.
Reference Key
derzho2017nonlinearbrief Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;O. G. Derzho
Journal BMC research notes
Year 2017
DOI
10.5194/npg-24-695-2017
URL
https://www.nonlin-processes-geophys.net/24/695/2017/npg-24-695-2017.pdf
Keywords
cosmic physics sciencephysicsgeophysics

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