Kamvissis / McLaughlin / Miller Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation

Course Book
ISBN: 978-1-4008-3718-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 154, 312 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation".

Autoren/Hrsg.

Kamvissis, Spyridon

McLaughlin, Kenneth D.T-R

Miller, Peter D.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Frontmatter, pg. i
Contents, pg. v
Figures and Tables, pg. ix
Preface, pg. xi
Chapter 1. Introduction and Overview, pg. 1
Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons, pg. 13
Chapter 3. Semiclassical Soliton Ensembles, pg. 23
Chapter 4. Asymptotic Analysis of the Inverse Problem, pg. 37
Chapter 5. Direct Construction of the Complex Phase, pg. 121
Chapter 6. The Genus - Zero Ansatz, pg. 163
Chapter 7. The Transition to Genus Two, pg. 195
Chapter 8. Variational Theory of the Complex Phase, pg. 215
Chapter 9. Conclusion and Outlook, pg. 223
Appendix A. H¨older Theory of Local Riemann-Hilbert Problems, pg. 229
Appendix B. Near-Identity Riemann-Hilbert Problems in L2, pg. 253
Bibliography, pg. 255
Index, pg. 259

Über Autor(innen)

Spyridon Kamvissis is a researcher at the Max Planck Institute of Mathematics in Bonn, Germany, and a Professor of Mathematics at the National Technical University in Athens, Greece. Kenneth D. T-R McLaughlin is Associate Professor of Mathematics at the University of North Carolina, Chapel Hill. Peter D. Miller is Assistant Professor of Mathematics at the University of Michigan, Ann Arbor.