Solitons, Nonlinear Evolution Equations And Inverse Scattering by M. A. AblowitzSolitons, Nonlinear Evolution Equations And Inverse Scattering by M. A. Ablowitz

Solitons, Nonlinear Evolution Equations And Inverse Scattering

byM. A. Ablowitz, P. A. Clarkson

Paperback | January 31, 1992

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This book brings together several aspects of soliton theory currently available only in research papers. Emphasis is given to the multi-dimensional problems which arise and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the dbar method.
Title:Solitons, Nonlinear Evolution Equations And Inverse ScatteringFormat:PaperbackDimensions:532 pages, 8.98 × 5.98 × 1.18 inPublished:January 31, 1992Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521387302

ISBN - 13:9780521387309


Table of Contents

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.

Editorial Reviews

"...reflects the changing emphasis of current research into solitons and integrable systems by concentrating on systems with more than one space dimension....valuable in bridging the diverse approaches to the subject by analysts and algebraic geometers. It records the relationships between results of gauge theory, Lie algebras and functional analysis and those of classical and numerical analysis....a well-ordered treasure house of ancient and modern work on integrable systems, fascinating and useful to browse in...essential for all specialists on integrable systems and for all major mathematical libraries." P.G. Drazin, Bulletin of the London Mathematical Society