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SUMMARY:Non-Hermitian dispersive hydrodynamics - Sathyanarayanan Chandramo
 uli (Florida State University)
DTSTART:20221208T160000Z
DTEND:20221208T163000Z
UID:TALK183815@talks.cam.ac.uk
DESCRIPTION:Dispersive hydrodynamics is an active research area combining 
 mathematical theory and experiments. Most of the research in the area focu
 ses on wave propagation in (a) bulk media\, where the governing equations 
 have constant coefficients\, or (b) inhomogeneous media\, where the underl
 ying dynamical system involves potential terms. In the latter case\, the p
 resence of inhomogeneous terms hinders the formulation of a Riemann proble
 m due to the lack of generalized plane wave-type solutions of constant int
 ensity. However\, such constant-intensity (CI) solutions in non-Hermitian 
 optical media do exist\, allowing us to formulate and study a Riemann prob
 lem for the first time therein. After identifying classes of non-Hermitian
  potentials that support modulationally stable CI states\, we motivate the
  construction of a Riemann problem connecting these CI states. The gain-lo
 ss landscape and the loss of symmetries (present in bulk media) lead to ri
 ch dispersive hydrodynamic phenomena.\nMy work is a collaborative effort w
 ith Nicholas Ossi\, Prof. Ziad Musslimani (Florida State University)\, and
  Prof. Konstantinos Makris (University of Crete).
LOCATION:Seminar Room 1\, Newton Institute
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