Solitons, Nonlinear Evolution Equations and Inverse Scattering
Published on 12. December 1991
Book
Paperback/Softback
532 pages
978-0-521-38730-9 (ISBN)
Description
Solitons have been of considerable interest to mathematicians since their discovery by Kruskal and Zabusky. This book brings together several aspects of soliton theory currently only available in research papers. Emphasis is given to the multi-dimensional problems arising and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the ? method. Thus, this book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
Reviews / Votes
'It is valuable in bridging the diverse approaches to the subject by analysts and algebraic geometeers ... Their book is a well-ordered treasure-house of ancient and modern work ... essential for all specialists on integrable systems and for all major mathematical libraries.' LSMMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
1 Tables, unspecified; 58 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 31 mm
Weight
854 gr
ISBN-13
978-0-521-38730-9 (9780521387309)
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Schweitzer Classification
Other editions
Additional editions
M. A. Ablowitz | P. A. Clarkson
Solitons, Nonlinear Evolution Equations and Inverse Scattering
E-Book
02/2011
1st Edition
Cambridge University Press
€124.99
Available for download
Persons
Content
1. Introduction; 2. Inverse scattering for the Korteweg-de Vries equation; 3. General inverse scattering in one dimension; 4. Inverse scattering for integro-differential equations; 5. Inverse scattering in two dimensions; 6. Inverse scattering in multidimensions; 7. The Painleve equations; 8. Discussion and open problems; Appendix A: Remarks on Riemann-Hilbert problems; Appendix B: Remarks on problems; References; Subject index; Author index.