This volume is a collection of papers presented at a special session on integrable systems and Riemann-Hilbert problems. The goal of the meeting was to foster new research by bringing together experts from different areas. Their contributions to the volume provide a useful portrait of the breadth and depth of integrable systems. Topics covered in this title include discrete Painleve equations, integrable nonlinear partial differential equations, random matrix theory, Bose-Einstein condensation, spectral and inverse spectral theory, and last passage percolation models. In most of these articles, the Riemann-Hilbert problem approach plays a central role, which is powerful both analytically and algebraically. The book is intended for graduate students and researchers interested in integrable systems and its applications.
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ISBN-13
978-0-8218-3203-5 (9780821832035)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
McLaughlin, Kenneth (University of North Carolina, Chapel Hill, and University of Arizona, Tuscon, USA) / Zhou, Xin (Duke University Durham, USA) / Kenneth, D.
Riemann-Hilbert problems for last passage percolation by J. Baik Inverse scattering and some finite-dimensional integrable systems by R. Beals, D. H. Sattinger, and J. Szmigielski Recent results on second harmonic generation by D. J. Kaup and H. Steudel On long-distance intensity asymptotics of solutions to the Cauchy problem for the modified nonlinear Schrodinger equation for vanishing initial data by M. Kovalyov and A. H. Vartanian Integrable models in Bose-Einstein condensates by W. M. Liu and S. T. Chui Long-time asymptotics of solutions to the Cauchy problem for the defocusing non-linear Schrodinger equation with finite-density initial data. I. Solitonless sector by A. H. Vartanian.