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Solitons, Nonlinear Evolution Equations and Inverse Scattering / Edition 1
     

Solitons, Nonlinear Evolution Equations and Inverse Scattering / Edition 1

by M. A. Ablowitz, P. A. Clarkson, Peter A. Clarkson
 

ISBN-10: 0521387302

ISBN-13: 9780521387309

Pub. Date: 12/12/1991

Publisher: Cambridge University Press

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.

Overview

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.

Product Details

ISBN-13:
9780521387309
Publisher:
Cambridge University Press
Publication date:
12/12/1991
Series:
London Mathematical Society Lecture Note Series , #149
Edition description:
New Edition
Pages:
532
Product dimensions:
5.98(w) x 8.98(h) x 1.18(d)

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.

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