On the elliptic sinh–Gordon equation with integrable boundary conditions

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On the elliptic sinh–Gordon equation with integrable boundary conditions

Kilian, Martin; Smith, G.
Date: 2021-06-28
Copyright: © 2021, IOP Publishing Ltd & London Mathematical Society, This is an author-created, un-copyedited version of an article accepted for publication in Nonlinearity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at: https://iopscience.iop.org/article/10.1088/1361-6544/abd7ca
Full text restriction information: Access to this article is restricted until 12 months after publication by request of the publisher.
Restriction lift date: 2022-06-28
Citation: Kilian, M. and Smith, G. (2021) 'On the elliptic sinh–Gordon equation with integrable boundary conditions', Nonlinearity, 34(8), pp. 5119-5135. doi: 10.1088/1361-6544/abd7ca
Published Version: 10.1088/1361-6544/abd7ca

Abstract:

We adapt Sklyanin's K-matrix formalism to the sinh–Gordon equation, and prove that all free boundary constant mean curvature annuli in the unit ball in ${\mathbb{R}}^{3}$ are of finite type.

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