BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yury Stepanyants (School of Sciences\, University of Southern Quee nsland\, Toowoomba\, Australia) DTSTART:20210311T110000Z DTEND:20210311T120000Z DTSTAMP:20260423T005815Z UID:mmandim/17 DESCRIPTION:Title: The asymptotic approach to the description of two-dimensional soliton pat terns in the oceans\nby Yury Stepanyants (School of Sciences\, Univers ity of Southern Queensland\, Toowoomba\, Australia) as part of Mathematica l models and integration methods\n\n\nAbstract\nThe asymptotic approach is suggested for the description of interacting surface and internal oceanic solitary waves. This approach allows one to describe a stationary moving wave patterns consisting of two plane solitary waves moving at an angle to each other. The results obtained within the approximate asymptotic theory is validated by comparison with the exact two-soliton solution of the Kad omtsev–Petviashvili equation. The suggested approach is equally applicab le to a wide class of non-integrable equations too. As an example\, the as ymptotic theory is applied to the description of wave patterns in the 2D B enjamin–Ono equation describing internal waves in the infinitely deep oc ean containing a relatively thin one of the layers.\n LOCATION:https://researchseminars.org/talk/mmandim/17/ END:VEVENT END:VCALENDAR