Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger 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
Clasificación:Libro Electrónico
Autor principal: Kamvissis, Spyridon
Otros Autores: McLaughlin, Kenneth D.T-R, Miller, Peter D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2003.
Colección:Annals of mathematics studies.
Temas:
Schrödinger equation.
Équation de Schrödinger.
Schrödinger equation
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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