Buy Backlund and Darboux Transformations: The Geometry of Solitons (Crm Proceedings and Lecture Notes) on ✓ FREE SHIPPING on qualified. Feb 6, A Darboux transformation and the corresponding Bäcklund transformation are constructed for this equation. Also, a nonlinear superposition. Nov 15, Download Citation on ResearchGate | Bäcklund and Darboux Transformations | This book describes the remarkable connections that exist.

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Cambridge Texts in Applied Mathematics

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Backlund and Darboux Transformations. The Geometry of Solitons

Geometry and Modern Applications in Soliton Theory. Cambridge University Press, Physical description 1 online resource pages: Series Cambridge texts in applied mathematics ; no. Cambridge Core Full view. Contents Preface– Acknowledgements– General introduction and outline– 1.


Pseudospherical surfaces and the classical Backlund transformation: The motion of curves and surfaces. Hasimoto Surfaces and the Nonlinear Schroedinger Equation: Earboux and associated soliton equations– 5. General aspects of soliton surfaces: 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. Nielsen Book Data Publisher’s Summary This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory.

| Cambridge Texts in Applied Mathematics | | C. Rogers | Boeken

The bqcklund also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.

It is with transformafions 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, transformatoons equations arise out of the Gauss-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Backlund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics. Nielsen Book Data ISBN ebook hardback paperback.