Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154) /

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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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Detalles Bibliográficos
Autor principal: Kamvissis, Spyridon
Otros Autores: Miller, Peter D. (Peter David), 1967-, McLaughlin, K. T-R (Kenneth T-R), 1969-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 2003.
Colección:Book collections on Project MUSE.
Temas:
Solitons.
Schrödingervergelijking.
Soliton
Schrödinger-Gleichung
Nichtlineare Schrödinger-Gleichung
Schrödinger equation.
MATHEMATICS > Complex Analysis.
SCIENCE > Waves & Wave Mechanics.
Équation de Schrödinger.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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