Handbook of exact solutions to the nonlinear Schr�odinger equations / (Record no. 68519)
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| fixed length control field | 08565nam a2200769 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780750359542 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IOP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20251030124832.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 241003s2024 enka fob 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750359542 |
| Qualifying information | ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750359535 |
| Qualifying information | mobi |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750359528 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750359559 |
| Qualifying information | myPrint |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1088/978-0-7503-5954-2 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNVSL)thg00083989 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1458669174 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CaBNVSL |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | CaBNVSL |
| Modifying agency | CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC174.26.W28 |
| Item number | K535 2024eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Khawaja, Usama Al, |
| Relator term | author. |
| 9 (RLIN) | 97113 |
| 245 1# - TITLE STATEMENT | |
| Title | Handbook of exact solutions to the nonlinear Schr�odinger equations / |
| Statement of responsibility, etc. | Usama Al Khawaja, Laila Al Sakkaf. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Second edition. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |
| Name of producer, publisher, distributor, manufacturer | IOP Publishing, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2024] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (various pagings) : |
| Other physical details | illustrations (some color). |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | electronic |
| Source | isbdmedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | [IOP release $release] |
| 490 1# - SERIES STATEMENT | |
| Series statement | IOP ebooks. [2024 collection] |
| 500 ## - GENERAL NOTE | |
| General note | "Version: 20240901"--Title page verso. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Introduction -- 2. Fundamental nonlinear Schr�odinger equation -- 2.1. Introduction -- 2.2. NLSE with cubic nonlinearity |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. Nonlinear Schr�odinger equation with power law and dual power law nonlinearities -- 3.1. Introduction -- 3.2. NLSE with power law nonlinearity -- 3.3. Summary of section 3.2 -- 3.4. NLSE with dual power law nonlinearity -- 3.5. Summary of section 3.4 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. Nonlinear Schr�odinger equation with higher order terms -- 4.1. Introduction -- 4.2. NLSE with third order dispersion, self-steepening, and self-frequency shift -- 4.3. Summary of section 4.2 -- 4.4. Special cases of equation (4.17) -- 4.5. NLSE with first and third order dispersions, self-steepening, self-frequency shift, and potential -- 4.6. Summary of section 4.5 -- 4.7. NLSE with t-dependent coefficients and first order dispersion -- 4.8. Summary of section 4.7 -- 4.9. NLSE with fourth order dispersion -- 4.10. Summary of section 4.9 -- 4.11. NLSE with fourth order dispersion and power law nonlinearity -- 4.12. Summary of section 4.11 -- 4.13. NLSE with third and fourth order dispersions and cubic and quintic nonlinearities -- 4.14. Summary of section 4.13 -- 4.15. NLSE with third and fourth order dispersions, self-steepening, self-frequency shift, and cubic and quintic nonlinearities -- 4.16. Summary of section 4.15 -- 4.17. NLSE with y 2 | | -dependent dispersion -- 4.18. Infinite hierarchy of integrable NLSEs with higher order terms -- 4.19. Summary of section 4.18 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5. Scaling transformations -- 5.1. Introduction -- 5.2. Fundamental NLSE to fundamental NLSE with different constant coefficients -- 5.3. Defocusing (focusing) NLSE to focusing (defocusing) NLSE -- 5.4. Galilean transformation (moving solutions) -- 5.5. Function coefficients -- 5.6. Solution-dependent transformation -- 5.7. Summary of sections 5.2-5.6 -- 5.8. Other equations -- 5.9. Summary of section 5.8 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6. Nonlinear Schr�odinger equation in (N + 1)-dimensions -- 6.1. Introduction -- 6.2. (N + 1)-dimensional NLSE with cubic nonlinearity -- 6.3. (N + 1)-dimensional NLSE with power law nonlinearity -- 6.4. (N + 1)-dimensional NLSE with dual power law nonlinearity -- 6.5. Galilean transformation in (N + 1)-dimensions (moving solutions) -- 6.6. NLSE in (2 + 1)-dimensions with [phi]x x1 2 term -- 6.7. Summary of sections 6.2-6.6 -- 6.8. (N + 1)-dimensional isotropic NLSE with cubic nonlinearity in polar coordinate system -- 6.9. Summary of section 6.8 -- 6.10. Power series solutions to (2 + 1)-dimensional NLSE with cubic nonlinearity in polar coordinate system |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7. Coupled nonlinear Schr�odinger equations -- 7.1. Introduction -- 7.2. Fundamental coupled NLSE Manakov system -- 7.3. Summary of section 7.2 -- 7.4. Symmetry seductions -- 7.5. Scaling transformations -- 7.6. Summary of sections 7.4-7.5 -- 7.7. (N + 1)-dimensional coupled NLSE (N + 1)-dimensional Manakov system -- 7.8. Symmetry reductions of (N + 1)-dimensional cNLSE to scalar NLSE -- 7.9. (N + 1)-dimensional scaling transformations -- 7.10. Composite solutions: nonlinear superposition -- 7.11. Summary of sections 7.8-7.10 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8. Discrete nonlinear Schr�odinger equation -- 8.1. Introduction -- 8.2. Discrete NLSE with saturable nonlinearity -- 8.3. Summary of section 8.2 -- 8.4. Short-period solutions with general, Kerr, and saturable nonlinearities -- 8.5. ABLOWITZ-LADIK equation -- 8.6. Summary of section 8.5 -- 8.7. Cubic-quintic discrete NLSE -- 8.8. Summary of section 8.7 -- 8.9. Generalized discrete NLSE -- 8.10. Summary of section 8.9 -- 8.11. Coupled Salerno equations -- 8.12. Summary of section 8.11 -- 8.13. Coupled Ablowitz-Ladik equation -- 8.14. Summary of section 8.13 -- 8.15. Coupled saturable discrete NLSE -- 8.16. Summary of section 8.15 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 9. Nonlocal nonlinear Schr�odinger equation -- 9.1. Introduction -- 9.2. Nonlocal NLSE -- 9.3. Yang's nonlocal NLSE -- 9.4. Nonlocal coupled NLSE -- 9.5. Symmetry reductions to scalar nonlocal NLSE -- 9.6. Scaling transformations -- 9.7. Nonlocal discrete NLSE with saturable nonlinearity -- 9.8. Nonlocal Ablowitz-Ladik equation -- 9.9. Nonlocal cubic-quintic discrete NLSE -- 9.10. Summary of chapter 9 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10. Fractional nonlinear Schr�odinger equation -- 10.1. Introduction -- 10.2. Conformable fractional derivative -- 10.3. Summary of section 10.2 -- 10.4. Fractal fractional derivative -- 10.5. Summary of section 10.4 -- 10.6. Atangana ([beta]) fractional derivative -- 10.7. Summary of section 10.6 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Appendix A. Derivation of some solutions of chapters 2 and 3 -- Appendix B. Darboux transformation: single soliton and breather solutions -- Appendix C. Derivation of the similarity transformations in chapter 5. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Full-text restricted to subscribers or individual document purchasers. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | Throughout the long history of the nonlinear Schr�odinger equation (NLSE), many exact analytical solutions have been found and they continue to grow as new solutions are being sought and discovered. This book aims to organize the solutions by classifying and grouping them based on aspects and symmetries they possess. The authors present a systematic derivation of many solutions and even include new derivations. This expanded second edition contains new solutions published or derived since the first edition. Noting the increasing interest in and applications of the fractional nonlinear Schr�odinger equation, a new chapter devoted to this topic has been added. Each chapter now also features an introductory section documenting the history, background, and physical systems described by the equations at hand. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | Professional and scholarly. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| 545 ## - BIOGRAPHICAL OR HISTORICAL DATA | |
| Biographical or historical data | Usama Al Khawaja is a theoretical Physicist who is currently a full professor in the Department of Physics at the University of Jordan. He is specialized in solitons and their applications, exact solutions and methods of solution. Laila Al Sakkaf is currently an assistant professor in the College of Engineering at Abu Dhabi University. She is specialized in solitons and their applications, exact solutions and methods of solution. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Title from PDF title page (viewed on October 3, 2024). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 9 (RLIN) | 97114 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 9 (RLIN) | 97115 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 9 (RLIN) | 97116 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| Source of heading or term | bicssc |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 96672 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sakkaf, Laila Al, |
| Relator term | author. |
| 9 (RLIN) | 97117 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Institute of Physics (Great Britain), |
| Relator term | publisher. |
| 9 (RLIN) | 17702 |
| 776 #8 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780750359528 |
| -- | 9780750359559 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP (Series). |
| Name of part/section of a work | Release 24. |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP ebooks. |
| Name of part/section of a work | 2024 collection. |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://iopscience.iop.org/book/mono/978-0-7503-5954-2">https://iopscience.iop.org/book/mono/978-0-7503-5954-2</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | |
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