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On the elliptic sinh–Gordon equation with integrable boundary conditions
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Date
2021-06-28
Authors
Kilian, Martin
Smith, G.
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IOP Publishing
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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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Keywords
Free boundary , Constant mean curvature , Integrable systems
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
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© 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