B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Strong coupling between RF photons and plasmons of electrons on liquid helium

Plasmons, arising from the collective motion of electrons, can interact strongly with electromagnetic fields or photons; this capability has been exploited across a broad range of applications, from chemical reactivity to biosensing. Recently, there has been growing interest in p...

The sine-Gordon equation in light-cone coordinates on the half-lines revisited: a Riemann–Hilbert approach

Abstract In this work, we study the initial-boundary value (IBV) problems for the sine-Gordon (sG) equation in the light-cone coordinates $$u_{xt}=\sin u$$ u xt = sin u in the quarter-planes $$x> 0, t > 0$$ x > 0 , t > 0 and $$x < 0, t > 0$$ x < 0 , t > 0 , assuming a suitable de...