Del 30 i serien Cambridge Texts in Applied Mathematics

Bäcklund and Darboux Transformations

Geometry and Modern Applications in Soliton Theory

Inbunden, Engelska, 2002

AvC. Rogers,W. K. Schief,M. J. Ablowitz

3 009 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

1 239 kr

Skickas inom 5-8 vardagar

This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Bäcklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Bäcklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text is concerned. In this geometric context, solitonic equations arise out of the Gauß-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Bäcklund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics.

Produktinformation

Utgivningsdatum2002-06-24
Mått158 x 237 x 27 mm
Vikt712 g
FormatInbunden
SpråkEngelska
SerieCambridge Texts in Applied Mathematics
Antal sidor432
FörlagCambridge University Press
ISBN9780521813310

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Tillämpad matematik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik

Preface; Acknowledgements; General introduction and outline; 1. Pseudospherical surfaces and the classical Bäcklund 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 Schrödinger 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. Bäcklund transformation and Darboux matrix connections; 8. Bianchi and Ernst systems: Bäcklund transformations and permutability theorems; 9. Projective-minimal and isothermal-asymptotic surfaces; A. The su(2)-so(3) isomorphism; B. CC-ideals; C. Biographies; Bibliography.

Mer från samma författare

Researching the Police in the 21st Century

Colin Rogers, J. Gravelle, C. Rogers

Inbunden, 2014

1 429 kr

Researching the Police in the 21st Century

J. Gravelle, C. Rogers

Häftad, 2014

1 579 kr

Mer från samma serie

Del 56

Numerical Linear Algebra

Holger Wendland

Häftad, 2017

769 kr

Del 31

Finite Volume Methods for Hyperbolic Problems

Randall J. LeVeque, D. G. Crighton

Häftad, 2002

1 379 kr

Del 32

Introduction to Hydrodynamic Stability

P. G. Drazin

Häftad, 2002

1 179 kr

Del 36

A First Course in Combinatorial Optimization

Jon Lee, D. G. Crighton, M. J. Ablowitz

Häftad, 2004

1 019 kr

Del 33

Theory of Vortex Sound

M. S. Howe

Häftad, 2002

809 kr

Del 37

Hydrodynamic Instabilities

François Charru

Häftad, 2011

1 659 kr

Del 45

A Physical Introduction to Suspension Dynamics

Élisabeth Guazzelli, Jeffrey F. Morris

Häftad, 2011

929 kr

Del 46

Iterative Methods in Combinatorial Optimization

Lap Chi Lau, R. Ravi, Mohit Singh

Häftad, 2011

1 039 kr

Del 45

A Physical Introduction to Suspension Dynamics

Élisabeth Guazzelli, Jeffrey F. Morris

Inbunden, 2011

2 049 kr

Del 2

Solitons

P. G. Drazin, R. S. Johnson, D. G. Crighton

Häftad, 1989

859 kr

Du kanske också är intresserad av

Del 30