File(s) under embargo
Reason: 24 month embargo
until file(s) become available
Strong magnetic field limit in a nonlinear Iwatsuka-type model
journal contributionposted on 30.03.2022, 17:34 by Evelyn Richman, Christof SparberChristof Sparber
We study the strong magnetic field limit for a nonlinear Iwatsuka-type model, i.e. a nonlinear Schrödinger equation in two spatial dimensions with a magnetic vector potential that only depends on the x-coordinate. Using a high-frequency averaging technique, we show that this equation can be effectively described by a nonlocal nonlinear model, which is no longer dispersive. We also prove that, in this asymptotic regime, inhomogeneous nonlinearities are confined along the y-axis.