Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation /

This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrödinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important appl...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Kamvissis, Spyridon
Other Authors: McLaughlin, K. T-R (Kenneth T-R), 1969-, Miller, Peter D. (Peter David), 1967-
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. : Princeton University Press, ©2003.
Series:Annals of mathematics studies ; no. 154.
Subjects:
Schrödinger equation.
Équation de Schrödinger.
SCIENCE > Waves & Wave Mechanics.
MATHEMATICS > Complex Analysis.
Schrödinger equation
Nichtlineare Schrödinger-Gleichung
Schrödinger-Gleichung
Soliton
Schrödingervergelijking.
Solitons.
Online Access:Texto completo
Table of Contents:
  • Cover; Title; Copyright; Contents; List of Figures and Tables; Preface; Chapter 1. Introduction and Overview; Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons; Chapter 3. Semiclassical Soliton Ensembles; Chapter 4. Asymptotic Analysis of the Inverse Problem; Chapter 5. Direct Construction of the Complex Phase; Chapter 6. The Genus-Zero Ansatz; Chapter 7. The Transition to Genus Two; Chapter 8. Variational Theory of the Complex Phase; Chapter 9. Conclusion and Outlook; Appendix A. Hölder Theory of Local Riemann-Hilbert Problems
  • Appendix B. Near-Identity Riemann-Hilbert Problems in L2Bibliography; Index

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