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Solitons, Nonlinear Evolution Equations and Inverse Scattering

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€ 154,99
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kartoniert
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März 2003

Beschreibung

Beschreibung

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.

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.

Pressestimmen

'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
EAN: 9780521387309
ISBN: 0521387302
Untertitel: 'Cambridge Studies in Social an'. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: März 2003
Seitenanzahl: 532 Seiten
Format: kartoniert
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