LMS: 149 Solitons, Nonlinear Evoltn - Brossura

Ablowitz/Clarkson

Brossura

ISBN 10: 0521387302 ISBN 13: 9780521387309

Casa editrice: Cambridge University Press, 2008

Riassunto

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.

Su questo libro

Recensione

'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

Contenuti

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.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521387302
• ISBN 13: 9780521387309
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 532