Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation / (Record no. 2750998)

MARC details
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fixed length control field 130415s2003 njua ob 001 0 eng d
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400837182
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1400837189
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1299443451
Qualifying information (ebk)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781299443457
Qualifying information (ebk)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 0691114838
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780691114835
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Cancelled/invalid ISBN 069111482X
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Cancelled/invalid ISBN 9780691114828
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1515/9781400837182
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037 ## - SOURCE OF ACQUISITION
Stock number 22573/ctt2f0vrc
Source of stock number/acquisition JSTOR
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC174.26.W28
Item number K35 2003eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 067000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT040000
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082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.12/4
Edition number 22
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049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kamvissis, Spyridon.
9 (RLIN) 342886
245 10 - TITLE STATEMENT
Title Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation /
Statement of responsibility, etc Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Princeton, N.J. :
Name of publisher, distributor, etc Princeton University Press,
Date of publication, distribution, etc ©2003.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xii, 265 pages) :
Other physical details illustrations
336 ## -
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-- online resource
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347 ## -
-- data file
380 ## -
-- Bibliography
490 1# - SERIES STATEMENT
Series statement Annals of mathematics studies ;
Volume number/sequential designation no. 154
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 255-258) and index.
588 0# -
-- Print version record.
520 ## - SUMMARY, ETC.
Summary, etc 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 the semiclassical behavior. In doing so they also aim to explain the observed gradient catastrophe for the underlying nonlinear elliptic partial differential equations, and to set forth a detailed, pointwise asymptotic description of the violent oscillations that emerge following the gradient catastrophe. To achieve this, the authors have extended the reach of two powerful analytical techniques that have arisen through the asymptotic analysis of integrable systems: the Lax-Levermore-Venakides variational approach to singular limits in integrable systems, and Deift and Zhou's nonlinear Steepest-Descent/Stationary Phase method for the analysis of Riemann-Hilbert problems. In particular, they introduce a systematic procedure for handling certain Riemann-Hilbert problems with poles accumulating on curves in the plane. This book, which includes an appendix on the use of the Fredholm theory for Riemann-Hilbert problems in the Hölder class, is intended for researchers and graduate students of applied mathematics and analysis, especially those with an interest in integrable systems, nonlinear waves, or complex analysis.
546 ## - LANGUAGE NOTE
Language note In English.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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# - FORMATTED CONTENTS NOTE
Formatted contents note Appendix B. Near-Identity Riemann-Hilbert Problems in L2Bibliography; Index
590 ## - LOCAL NOTE (RLIN)
Local note eBooks on EBSCOhost
Provenance (VM) [OBSOLETE] EBSCO eBook Subscription Academic Collection - Worldwide
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrödinger equation.
9 (RLIN) 516753
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Équation de Schrödinger.
9 (RLIN) 931180
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element SCIENCE
General subdivision Waves & Wave Mechanics.
Source of heading or term bisacsh
9 (RLIN) 872137
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Complex Analysis.
Source of heading or term bisacsh
9 (RLIN) 904240
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrödinger equation.
Source of heading or term fast
-- (OCoLC)fst01108121
9 (RLIN) 516753
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Nichtlineare Schrödinger-Gleichung
Source of heading or term gnd
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrödinger-Gleichung
Source of heading or term gnd
9 (RLIN) 939547
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Soliton
Source of heading or term gnd
9 (RLIN) 900075
650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrödingervergelijking.
Source of heading or term gtt
9 (RLIN) 876861
650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Solitons.
Source of heading or term gtt
9 (RLIN) 145379
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Genre/form data or focus term Electronic books.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name McLaughlin, K. T-R
Fuller form of name (Kenneth T-R),
Dates associated with a name 1969-
9 (RLIN) 342888
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Miller, Peter D.
Fuller form of name (Peter David),
Dates associated with a name 1967-
9 (RLIN) 342889
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Kamvissis, Spyridon.
Title Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation.
Place, publisher, and date of publication Princeton, N.J. : Princeton University Press, ©2003
International Standard Book Number 0691114838
Record control number (DLC) 2003108056
-- (OCoLC)51780336
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Annals of mathematics studies ;
Volume number/sequential designation no. 154.
9 (RLIN) 215873
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=563758">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=563758</a>
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Holdings
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