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Lecture Notes in Mathematics

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Klein, Sebastian

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Lecture Notes in Mathematics

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Lecture Notes in Mathematics: A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

 

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space.


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Beschrijving Lecture Notes in Mathematics: A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization.


ISBN
9783030012755
Pagina's
334
Verschenen
Serie
Lecture Notes in Mathematics
NUR
918
Druk
1
Uitvoering
Paperback / softback
Taal
Engels
Uitgever
Springer Nature Switzerland AG

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