BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Y. Stepanyants (University of Southern Queensland) DTSTART:20230330T110000Z DTEND:20230330T120000Z DTSTAMP:20260423T021322Z UID:mmandim/54 DESCRIPTION:Title: Solitary waves in the cylindrical Kadomtsev–Petviashvili equation\n by Y. Stepanyants (University of Southern Queensland) as part of Mathemati cal models and integration methods\n\n\nAbstract\nWe present exact solutio ns in the form of solitary waves in the cylindrical Kadomtsev–Petviashvi li (cKP) equation (alias Johnson equation) which describes nonlinear wave processes in dispersive media. This equation belongs to the class of compl etely integrable systems\; however\, its exact solutions were not studied in detail albeit some particular solutions were found. We show that this e quation has relationships with the classical Korteweg–de Vries and plane Kadomtsev–Petviashvili equations. Using these relationships\, some new solutions can be formally obtained that represent cylindrically diverging solitary waves and compact solitary waves called lumps. We demonstrate int eresting properties of lumps solutions specific for the cylindrical geomet ry. Exact solutions describing normal and anomalous lump interactions are found and graphically illustrated.\n LOCATION:https://researchseminars.org/talk/mmandim/54/ END:VEVENT END:VCALENDAR