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SUMMARY:Observation of breathers and their interactions from solitary-cnoi
 dal-like wave interactions - Yifeng Mao (University of Colorado Boulder)
DTSTART:20221209T143000Z
DTEND:20221209T150000Z
UID:TALK183836@talks.cam.ac.uk
DESCRIPTION:Breathers are coherent structures in nonlinear dispersive medi
 a that are localized disturbances in space (or time) and periodic in time 
 (or space) in a comoving reference frame. They consist of two distinct tim
 e scales: one associated with propagation and the other associated with in
 ternal oscillations\, exhibiting rich mathematical properties due to the c
 omplexity of their two-phase configuration. Breathers are ubiquitous excit
 ations in many physical systems\, including large ocean waves\, optics\, l
 attices\, and materials. Theoretical constructions of the exact breather s
 olutions have focused on the nonlinear superposition of solitons and cnoid
 al waves in weakly nonlinear\, completely integrable systems. However\, ex
 perimental confirmation of this superposition and its applicability in ful
 ly nonlinear systems are lacking. In this work\, breathers of both bright 
 and dark types in a physical two-Stokes core-annular flow system are inves
 tigated experimentally. Single breathers and breather interactions are rea
 lized to be the result of the nonlinear superposition of locally created s
 olitary waves and locally created cnoidal-like waves. Moreover\, the exact
  breather solutions to the two-Stokes interfacial wave model are obtained 
 by numerical computations of a space-time boundary value problem. The expe
 rimental measurements are found to quantitatively agree with the exact sol
 utions.\nCo-Authors: Sathyanarayanan Chandramouli (Florida State Universit
 y)\, Mark Hoefer (University of Colorado Boulder)
LOCATION:Seminar Room 1\, Newton Institute
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