On the elliptic sinh-Gordon equation with integrable boundary conditions

M. Kilian; G. Smith

doi:10.1088/1361-6544/abd7ca

On the elliptic sinh-Gordon equation with integrable boundary conditions

M. Kilian
, G. Smith

School of Mathematical Sciences

Universidade Federal do Rio de Janeiro

Research output: Contribution to journal › Article › peer-review

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 ℝ3 are of finite type.

Original language	English
Pages (from-to)	5119-5135
Number of pages	17
Journal	Nonlinearity
Volume	34
Issue number	8
DOIs	https://doi.org/10.1088/1361-6544/abd7ca
Publication status	Published - Aug 2021

Keywords

37K10
constant mean curvature
free boundary
integrable systems Mathematics Subject Classification numbers: 53A10

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10.1088/1361-6544/abd7ca

https://hdl.handle.net/10468/11733Licence: CC BY-NC-ND

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title = "On the elliptic sinh-Gordon equation with integrable boundary conditions",

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 ℝ3 are of finite type.",

keywords = "37K10, constant mean curvature, free boundary, integrable systems Mathematics Subject Classification numbers: 53A10",

author = "M. Kilian and G. Smith",

note = "Publisher Copyright: {\textcopyright} 2021 IOP Publishing Ltd \& London Mathematical Society.",

year = "2021",

month = aug,

doi = "10.1088/1361-6544/abd7ca",

language = "English",

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AU - Smith, G.

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N2 - 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 ℝ3 are of finite type.

AB - 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 ℝ3 are of finite type.

KW - 37K10

KW - constant mean curvature

KW - free boundary

KW - integrable systems Mathematics Subject Classification numbers: 53A10

UR - https://www.scopus.com/pages/publications/85110450659

U2 - 10.1088/1361-6544/abd7ca

DO - 10.1088/1361-6544/abd7ca

M3 - Article

AN - SCOPUS:85110450659

SN - 0951-7715

VL - 34

SP - 5119

EP - 5135

JO - Nonlinearity

JF - Nonlinearity

IS - 8

ER -

On the elliptic sinh-Gordon equation with integrable boundary conditions

Abstract

Keywords

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