Introduction to the mathematical physics of nonlinear waves / (Record no. 82864)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 07313nam a2200745 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780750337595 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IOP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230516170249.0 |
| 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 bn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 211108s2021 enka fob 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750337595 |
| Qualifying information | ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750337588 |
| Qualifying information | mobi |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750337571 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750337601 |
| Qualifying information | myPrint |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1088/978-0-7503-3759-5 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNVSL)thg00082710 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1275356606 |
| 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 | QC20.7.N6 |
| Item number | F845 2021eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.155355 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Fujimoto, Minoru, |
| Relator term | author. |
| 9 (RLIN) | 70572 |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to the mathematical physics of nonlinear waves / |
| Statement of responsibility, etc. | Minoru Fujimoto. |
| 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 | [2021] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (various pagings) : |
| Other physical details | illustrations. |
| 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. [2021 collection] |
| 500 ## - GENERAL NOTE | |
| General note | "Version: 202110"--Title page verso. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Nonlinearity and elliptic functions in classical mechanics -- 1.1. A pendulum -- 1.2. Vibration by a nonlinear spring force -- 1.3. Hyperbolic and elliptic functions -- 1.4. A jumping rope -- 1.5. Variation principle -- 1.6. Buckling of an elastic rod |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2. Wave propagation, singularities, and boundary conditions -- 2.1. Elastic waves along a linear string in infinite length -- 2.2. Microwave transmission -- 2.3. Wave equations -- 2.4. Sound propagation in air -- 2.5. Asymptotic approximation in air space |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. Order variables for structural phase transitions -- 3.1. Symmetry group in crystals -- 3.2. Solitons and the Ising model for pseudospin correlations -- 3.3. Macroscopic views of structural phase transitions -- 3.4. Observing critical anomalies |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. Soft modes of lattice displacements -- 4.1. The Lyddane-Sachs-Teller relation -- 4.2. Soft modes in perovskite oxides -- 4.3. Dynamics of soft modes -- 4.4. Soft-mode frequency in modulated crystals -- 4.5. Optical studies on symmetry changes at critical temperature |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5. Nonlinearity development in crystals : Korteweg-deVries' equation for collective order variables and the complex potential -- 5.1. The Korteweg-deVries equation -- 5.2. Thermal solution for the Weiss potential -- 5.3. Condensate pinning by the Weiss potential -- 5.4. Nonlinear waves and complex lattice potentials -- 5.5. The complex lattice potential -- 5.6. Isothermal phase transition and entropy production |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6. Soliton mobility in time-temperature conversion for thermal processes : Riccati's theorem -- 6.1. Bargmann's theorem -- 6.2. Riccati's theorem and the modified Korteweg-deVries equation -- 6.3. Soliton mobility studied by computational analysis |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7. Toda's lattice of correlation potentials -- 7.1. The Toda soliton lattice -- 7.2. Developing nonlinearity -- 7.3. Conversion to Korteweg-deVries' lattice potential |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8. Scattering theory of the soliton lattice -- 8.1. Elemental waves -- 8.2. Scattering theory : dissipation, reflection, and transmission -- 8.3. Method of inverse scattering -- 8.4. Entropy production from soliton potentials |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 9. Pseudopotentials and sine-Gordon equation : topological correlations in domain structure -- 9.1. Pseudopotentials in mesoscopic phases -- 9.2. The sine-Gordon equation -- 9.3. Phase solitons in adiabatic processes -- 9.4. The B�acklund transformation and domain boundaries -- 9.5. Computational studies of the B�acklund transformation |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10. Trigonal structural transitions : domain stability in topological order -- 10.1. The sine-Gordon equation -- 10.2. Observing adiabatic fluctuations -- 10.3. Toda's theory of domain stability -- 10.4. Kac's theory of nonlinearity for domain disorder -- 10.5. Domain separation and thermal and quasi-adiabatic transitions -- 10.6. Mesoscopic domains in topological disorder |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 11. Soliton theory of superconducting transitions -- 11.1. The Meissner effect and Fr�ohlich's proposal -- 11.2. Magnetic images of Fr�ohlich's interaction -- 11.3. The Cooper pair and persistent current -- 11.4. Critical temperatures and energy gap in superconducting transitions -- 11.5. Anderson's theory of superconducting phase transitions -- 11.6. Cuprate-layer structure and the Cooper pair -- 11.7. Meissner's effect in cuprate-layers and metallic hydrogen sulfide H3S |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 12. Irreducible thermodynamics of superconducting phase transitions -- 12.1. Superconducting phase transition -- 12.2. Electromagnetic properties of superconductors -- 12.3. The Ginzburg-Landau equation for superconducting phase transitions -- 12.4. Field theory of superconducting transitions. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | Written for students at upper-undergraduate and graduate levels, it is suitable for advanced physics courses on nonlinear physics. The book covers the fundamental properties of nonlinear waves, dealing with both theory and experiment. The aim is to emphasize established tools and introduce new methods underpinning important new developments in this field, especially as applied to solid-state materials. The updated edition has been extended to emphasize the importance of thermodynamics in a description of modulated crystals and contains new chapters on superconductivity that can be interpreted by the soliton mechanism. It is also updated to include new end-of-chapter problems. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | Graduate students in physics and mathematical physics. |
| 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 | Minoru Fujimoto is a retired professor from the University of Guelph, Canada, where he conducted research in the field of magnetic resonance studies on structural phase transitions in crystals which has currently been extended to theoretical work with soliton dynamics especially as applied to crystalline condensed matter systems. He is the author of numerous papers and several books including Physics of Classical Electromagnetism and Thermodynamics of Crystalline States (Springer); Introduction to Mathematical Physics of Nonlinear Waves and Solitons in Crystalline Processes (IOP Publishing). He lives in Mississauga, Ontario. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Title from PDF title page (viewed on November 8, 2021). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Nonlinear waves. |
| 9 (RLIN) | 3824 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Nonlinear theories. |
| 9 (RLIN) | 3339 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical physics. |
| Source of heading or term | bicssc |
| 9 (RLIN) | 11013 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics and computation. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 70439 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Institute of Physics (Great Britain), |
| Relator term | publisher. |
| 9 (RLIN) | 11622 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780750337571 |
| -- | 9780750337601 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP (Series). |
| Name of part/section of a work | Release 21. |
| 9 (RLIN) | 70573 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP ebooks. |
| Name of part/section of a work | 2021 collection. |
| 9 (RLIN) | 70574 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://iopscience.iop.org/book/978-0-7503-3759-5">https://iopscience.iop.org/book/978-0-7503-3759-5</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
No items available.