Solitons, Nonlinear Evolution Equations and Inverse Scattering

Erscheinungsjahr 2003
ISBN: 978-0-521-38730-9
Verlag: Cambridge University Press

Buch, Englisch, Band 149, 528 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 854 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Ablowitz, Mark J.

Ablowitz, M. A.

Clarkson, P. A.

Clarkson, Peter A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.