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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Observation of breathers and their interactions fr
 om solitary-cnoidal-like wave interactions - Yifen
 g Mao (University of Colorado Boulder)
DTSTART;TZID=Europe/London:20221209T143000
DTEND;TZID=Europe/London:20221209T150000
UID:TALK183836AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/183836
DESCRIPTION:Breathers are coherent structures in nonlinear dis
 persive media that are localized disturbances in s
 pace (or time) and periodic in time (or space) in 
 a comoving reference frame. They consist of two di
 stinct time scales: one associated with propagatio
 n and the other associated with internal oscillati
 ons\, exhibiting rich mathematical properties due 
 to the complexity of their two-phase configuration
 . Breathers are ubiquitous excitations in many phy
 sical systems\, including large ocean waves\, opti
 cs\, lattices\, and materials. Theoretical constru
 ctions of the exact breather solutions have focuse
 d on the nonlinear superposition of solitons and c
 noidal waves in weakly nonlinear\, completely inte
 grable systems. However\, experimental confirmatio
 n of this superposition and its applicability in f
 ully nonlinear systems are lacking. In this work\,
  breathers of both bright and dark types in a phys
 ical two-Stokes core-annular flow system are inves
 tigated experimentally. Single breathers and breat
 her interactions are realized to be the result of 
 the nonlinear superposition of locally created sol
 itary waves and locally created cnoidal-like waves
 . Moreover\, the exact breather solutions to the t
 wo-Stokes interfacial wave model are obtained by n
 umerical computations of a space-time boundary val
 ue problem. The experimental measurements are foun
 d to quantitatively agree with the exact solutions
 .\nCo-Authors: Sathyanarayanan Chandramouli (Flori
 da State University)\, Mark Hoefer (University of 
 Colorado Boulder)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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