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

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

Author: Sebastian Klein

Publisher: Springer

Published: 2018-12-05

Total Pages: 326

ISBN-13: 303001276X

DOWNLOAD EBOOK

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. 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. Using methods of asymptotic estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the change of the spectral data under translation of the solution u. The book's primary audience will be research mathematicians interested in the theory of infinite-dimensional integrable systems, or in the geometry of constant mean curvature surfaces.


Book Synopsis A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation by : Sebastian Klein

Download or read book A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation written by Sebastian Klein and published by Springer. This book was released on 2018-12-05 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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. Using methods of asymptotic estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the change of the spectral data under translation of the solution u. The book's primary audience will be research mathematicians interested in the theory of infinite-dimensional integrable systems, or in the geometry of constant mean curvature surfaces.


The Spectral Theory of Periodic Differential Equations

The Spectral Theory of Periodic Differential Equations

Author: Michael Stephen Patrick Eastham

Publisher:

Published: 1973

Total Pages: 148

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis The Spectral Theory of Periodic Differential Equations by : Michael Stephen Patrick Eastham

Download or read book The Spectral Theory of Periodic Differential Equations written by Michael Stephen Patrick Eastham and published by . This book was released on 1973 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Spectral Theory and Differential Equations

Spectral Theory and Differential Equations

Author: W.N. Everitt

Publisher: Springer

Published: 2006-11-15

Total Pages: 338

ISBN-13: 3540374442

DOWNLOAD EBOOK


Book Synopsis Spectral Theory and Differential Equations by : W.N. Everitt

Download or read book Spectral Theory and Differential Equations written by W.N. Everitt and published by Springer. This book was released on 2006-11-15 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Spectral Theory and Differential Equations

Spectral Theory and Differential Equations

Author: W. N. Everitt

Publisher:

Published: 2014-01-15

Total Pages: 340

ISBN-13: 9783662171356

DOWNLOAD EBOOK


Book Synopsis Spectral Theory and Differential Equations by : W. N. Everitt

Download or read book Spectral Theory and Differential Equations written by W. N. Everitt and published by . This book was released on 2014-01-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:


数理科学講究錄

数理科学講究錄

Author:

Publisher:

Published: 1978

Total Pages: 602

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis 数理科学講究錄 by :

Download or read book 数理科学講究錄 written by and published by . This book was released on 1978 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Spectral Theory and Asymptotics of Differential Equations

Spectral Theory and Asymptotics of Differential Equations

Author:

Publisher:

Published: 1974

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Spectral Theory and Asymptotics of Differential Equations by :

Download or read book Spectral Theory and Asymptotics of Differential Equations written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Partial Differential Equations

Partial Differential Equations

Author:

Publisher:

Published: 1991

Total Pages:

ISBN-13: 9780387546773

DOWNLOAD EBOOK


Book Synopsis Partial Differential Equations by :

Download or read book Partial Differential Equations written by and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Nonlinear Processes in Physics

Nonlinear Processes in Physics

Author: A.S. Fokas

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 343

ISBN-13: 3642777694

DOWNLOAD EBOOK

In 1979, a historical meeting took place at the Institute for Theoretical Physics in Kiev, USSR, where 48 American Scientists, specialists in nonlinear and turbulent processes, met for two weeks with their soviet counterparts. This meeting pro vided the unique opportunity for USA and USSR participants to directly interact personally and scientifically with each other. This interaction was of great impor not only for the individuals involved but also for the science of nonlinear tance phenomena in general. At the end of the meeting, it was agreed that this exchange should continue, and it was decided to have the next meeting in the USA in 1981. Unfortunately, due to the political situation at that time, the second meeting in the USA never materialized. However, in 1983, the Soviet scientists organized in Kiev a second Workshop. This second meeting was again quite successful. Similar meetings, with growing success were organized at Kiev in 1987, and 1989. It should be noted that 405 participants from 22 countries participated at the fourth Kiev workshop on Nonlinear and Turbulent Processes. The Chainnan of this workshop was V. Zakharov, who has also been a co-chainnan of all the previous workshops.


Book Synopsis Nonlinear Processes in Physics by : A.S. Fokas

Download or read book Nonlinear Processes in Physics written by A.S. Fokas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1979, a historical meeting took place at the Institute for Theoretical Physics in Kiev, USSR, where 48 American Scientists, specialists in nonlinear and turbulent processes, met for two weeks with their soviet counterparts. This meeting pro vided the unique opportunity for USA and USSR participants to directly interact personally and scientifically with each other. This interaction was of great impor not only for the individuals involved but also for the science of nonlinear tance phenomena in general. At the end of the meeting, it was agreed that this exchange should continue, and it was decided to have the next meeting in the USA in 1981. Unfortunately, due to the political situation at that time, the second meeting in the USA never materialized. However, in 1983, the Soviet scientists organized in Kiev a second Workshop. This second meeting was again quite successful. Similar meetings, with growing success were organized at Kiev in 1987, and 1989. It should be noted that 405 participants from 22 countries participated at the fourth Kiev workshop on Nonlinear and Turbulent Processes. The Chainnan of this workshop was V. Zakharov, who has also been a co-chainnan of all the previous workshops.


Partial Differential Equations

Partial Differential Equations

Author: Robert C. McOwen

Publisher: 清华大学出版社有限公司

Published: 2004

Total Pages: 446

ISBN-13: 9787302099802

DOWNLOAD EBOOK


Book Synopsis Partial Differential Equations by : Robert C. McOwen

Download or read book Partial Differential Equations written by Robert C. McOwen and published by 清华大学出版社有限公司. This book was released on 2004 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Spectral Theory

Spectral Theory

Author: M. Sh Birman

Publisher:

Published: 1969

Total Pages: 99

ISBN-13: 9780608304373

DOWNLOAD EBOOK


Book Synopsis Spectral Theory by : M. Sh Birman

Download or read book Spectral Theory written by M. Sh Birman and published by . This book was released on 1969 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: