| Description |
1 online resource (280 pages) |
| Series |
Annals of Mathematics Studies |
|
Annals of mathematics studies.
|
| 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 |
| Summary |
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 |
| Notes |
English |
|
Print version record |
| Subject |
Schrödinger equation.
|
|
Schrödinger equation
|
| Form |
Electronic book
|
| Author |
McLaughlin, Kenneth D.T-R
|
|
Miller, Peter D
|
| ISBN |
9781400837182 |
|
1400837189 |
|
0691114838 |
|
9780691114835 |
|
