Bäcklund and Darboux Transformations : Geometry and Modern Applications in Soliton Theory.
- 1st ed.
- 1 online resource (431 pages)
- Cambridge Texts in Applied Mathematics Series ; v.Series Number 30 .
- Cambridge Texts in Applied Mathematics Series .
Intro -- Contents -- Preface -- Acknowledgements -- General Introduction and Outline -- Appendix A The su(2)-so(3) Isomorphism -- Appendix B CC-Ideals -- Appendix C Biographies -- Bibliography and Author Index -- Subject Index.
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 with exercises, it is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.