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

MARC

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100 1 |a Kamvissis, Spyridon. 
245 1 0 |a Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154). 
260 |a Princeton :  |b Princeton University Press,  |c 2003. 
300 |a 1 online resource (280 pages). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Annals of Mathematics Studies 
588 0 |a Print version record. 
520 |a 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 applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing. 
505 0 |a 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. 
505 8 |a Appendix B. Near-Identity Riemann-Hilbert Problems in L2Bibliography; Index. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Schrödinger equation. 
650 6 |a Équation de Schrödinger. 
650 7 |a Schrödinger equation  |2 fast 
700 1 |a McLaughlin, Kenneth D.T-R. 
700 1 |a Miller, Peter D. 
758 |i has work:  |a Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGJbKRwJDDK3y6J4pDyjRX  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |z 9780691114828 
830 0 |a Annals of mathematics studies. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1163722  |z Texto completo 
994 |a 92  |b IZTAP 

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