9780521387309: LMS: 149 Solitons, Nonlinear Evoltn

Sinossi

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.

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Recensione

'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

Contenuti

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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