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Bäcklund and Darboux transformations : geometry and modern applications in soliton theory

Author: C Rogers; W K Schief
Publisher: Cambridge ; New York : Cambridge University Press, 2002.
Series: Cambridge texts in applied mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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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Document Type: Book
All Authors / Contributors: C Rogers; W K Schief
ISBN: 052181331X 9780521813310 0521012880 9780521012881
OCLC Number: 912223634
Description: XVII, 413 p. : il. ; 23 cm
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.
Responsibility: C. Rogers, W.K. Schief.

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