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Bäcklund and Darboux Transformations : Geometry and Modern Applications in Soliton Theory.

Author: C Rogers; W K Schief; EBSCOhost.
Publisher: New York : Cambridge University Press, June 2002.
Series: Cambridge Texts in Applied Mathematics Ser.
Edition/Format:   Computer file : Online system or service : EnglishView all editions and formats
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Material Type: Online system or service, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: C Rogers; W K Schief; EBSCOhost.
ISBN: 052181331X 9780521813310 0521012880 9780521012881
OCLC Number: 847049388
Description: electronic text.
Contents: Preface; Acknowledgements; General introduction and outline; 1. Pseudospherical surfaces and the classical Backlund transformation: the Bianchi system; 2. The motion of curves and surfaces. soliton connections; 3. Tzitzeica surfaces: conjugate nets and the Toda Lattice scheme; 4. Hasimoto Surfaces and the Nonlinear Schroedinger Equation: Geometry and associated soliton equations; 5. Isothermic surfaces: the Calapso and Zoomeron equations; 6. General aspects of soliton surfaces: role of gauge and reciprocal transfomations; 7. Backlund transformation and Darboux matrix connections; 8. Bianchi and Ernst systems: Backlund transformations and permutability theorems; 9. Projective-minimal and isothermal-asymptotic surfaces; A. The su(2)-so(3) isomorphism; B. CC-ideals; C. Biographies; Bibliography.
Series Title: Cambridge Texts in Applied Mathematics Ser.
Other Titles: EBook Academic Subscription Collection - Worldwide.

Abstract:

This book explores the profound connections between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces. Punctuated  Read more...

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