2021/04/13 by Conte, Robert, Paris-Saclay, ENS
#33E05 (secondary) #35C05 #35Q55 (primary) #FOS: Physical sciences #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS) #Superconductivity (cond-mat.supr-con)
paper · doi:10.48550/arxiv.2104.06205
We present a one-line closed form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.