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Solitons, Nonlinear Evolution Equations and Inverse Scattering de M. A. Ablowitz

Solitons, Nonlinear Evolution Equations and Inverse Scattering: London Mathematical Society Lecture Note Series, cartea 149

Autor M. A. Ablowitz, P. A. Clarkson
en Limba Engleză Paperback – 11 dec 1991
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.
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Specificații

ISBN-13: 9780521387309
ISBN-10: 0521387302
Pagini: 532
Ilustrații: 58 b/w illus. 1 table
Dimensiuni: 152 x 229 x 34 mm
Greutate: 0.79 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

'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.' LSM

Descriere

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.