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Solitons, Nonlinear Evolution Equations and Inverse Scattering
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Artikel-Nr:
9780521387309
Veröffentl:
2003
Einband:
Paperback
Erscheinungsdatum:
21.03.2003
Seiten:
532
Autor:
Mark J. Ablowitz
Gewicht:
854 g
Format:
229x152x31 mm
Sprache:
Englisch
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.
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.