Bäcklund and Darboux Transformations

Bäcklund and Darboux Transformations
Author :
Publisher : Cambridge University Press
Total Pages : 436
Release :
ISBN-10 : 0521012880
ISBN-13 : 9780521012881
Rating : 4/5 (881 Downloads)

Book Synopsis Bäcklund and Darboux Transformations by : C. Rogers

Download or read book Bäcklund and Darboux Transformations written by C. Rogers and published by Cambridge University Press. This book was released on 2002-06-24 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.


Bäcklund and Darboux Transformations Related Books

Bäcklund and Darboux Transformations
Language: en
Pages: 436
Authors: C. Rogers
Categories: Mathematics
Type: BOOK - Published: 2002-06-24 - Publisher: Cambridge University Press

GET EBOOK

This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of
Darboux Transformations in Integrable Systems
Language: en
Pages: 317
Authors: Chaohao Gu
Categories: Science
Type: BOOK - Published: 2006-07-09 - Publisher: Springer Science & Business Media

GET EBOOK

The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called
Discrete Integrable Systems
Language: en
Pages: 460
Authors: Basil Grammaticos
Categories:
Type: BOOK - Published: 2014-01-15 - Publisher:

GET EBOOK

Constrained Willmore Surfaces
Language: en
Pages: 261
Authors: Áurea Casinhas Quintino
Categories: Mathematics
Type: BOOK - Published: 2021-06-10 - Publisher: Cambridge University Press

GET EBOOK

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvat
Quantum Theory and Symmetries
Language: en
Pages: 670
Authors: M. B. Paranjape
Categories: Electronic books
Type: BOOK - Published: 2021 - Publisher: Springer Nature

GET EBOOK

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum T