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arXiv · 2103.16555

Strong Magnetic Field Limit in a Nonlinear Iwatsuka-Type Model

Evelyn Richman·Christof Sparber
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Abstract

We study the strong magnetic field limit for a nonlinear Iwatsuka-type model, i.e. a nonlinear Schr\"odinger 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.

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Evelyn Richman, Christof Sparber. 2021-03-30. Strong Magnetic Field Limit in a Nonlinear Iwatsuka-Type Model. https://arxiv.org/abs/2103.16555

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