| 000 -LEADER |
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| fixed length control field |
07468nam a2200805 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
8940932 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200413152931.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
191223s2020 caua fob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781681737133 |
| Qualifying information |
electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681737140 |
| Qualifying information |
hardcover |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681737126 |
| Qualifying information |
paperback |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.2200/S00963ED1V01Y201910WAV002 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(CaBNVSL)mat00979859 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1133127431 |
| 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 |
QA927 |
| Item number |
.T367 2020eb |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
531/.1133 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Tanaka, Mitsuhiro, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Physics of nonlinear waves / |
| Statement of responsibility, etc. |
Mitsuhiro Tanaka. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
[San Rafael, California] : |
| Name of producer, publisher, distributor, manufacturer |
Morgan & Claypool, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2020] |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 PDF (xv, 237 pages) : |
| 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 |
Synthesis lectures on wave phenomena in the physical sciences ; |
| Volume/sequential designation |
#2 |
| 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. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Part of: Synthesis digital library of engineering and computer science. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. The simplest nonlinear wave equation -- 1.1. The simplest wave equation -- 1.2. From conservation law to wave equation -- 1.3. Method of characteristics -- 1.4. Intersection of characteristics and occurrence of multivaluedness -- 1.5. Shock fitting -- 1.6. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
2. Burgers equation : effect of diffusion -- 2.1. Burgers equation -- 2.2. Diffusion effect -- 2.3. Hopf-Cole transformation : close relation to diffusion equation -- 2.4. Typical solutions of the Burgers equation -- 2.5. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
3. Basics of linear water waves -- 3.1. Dispersion relation -- 3.2. Linear sinusoidal wave solution of water wave -- 3.3. Wave energy and its propagation velocity -- 3.4. Extension of linear solution to nonlinear solution -- 3.5. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
4. Perturbation method and multiple scale analysis -- 4.1. Necessity of approximate solution method -- 4.2. Perturbation method -- 4.3. Application to nonlinear pendulum -- 4.4. Multiple scale analysis -- 4.5. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
5. KdV equation : effect of dispersion -- 5.1. KdV equation and its intuitive derivation -- 5.2. Solitary wave solution : balance between nonlinearity and dispersion -- 5.3. Soliton : solitary wave with particle nature -- 5.4. Relatives of KdV equation -- 5.5. Whitham equation and wave breaking -- 5.6. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
6. Modulation and self-interaction of a wavetrain -- 6.1. Modulated or quasi-monochromatic wavetrain -- 6.2. Group velocity -- 6.3. Nonlinear Schrödinger equation : equation governing modulation -- 6.4. Modulational instability -- 6.5. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
7. Resonant interaction between waves -- 7.1. Three-wave interaction -- 7.2. Three-wave interaction equation -- 7.3. Wave generation and excitation by three-wave resonance -- 7.4. Special types of three-wave resonance -- 7.5. Four-wave resonant interaction -- 7.6. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
8. Wave turbulence : interaction of innumerable waves -- 8.1. Energy spectrum -- 8.2. Statistics about wave height -- 8.3. Evolution equation of energy spectrum -- 8.4. Power law appearing in energy spectrum -- 8.5. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
A. Conservation law in 3D -- A.1. Flux density vector -- A.2. Conservation law in integral form -- A.3. Conservation law of differential form |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
B. System of simultaneous wave equations -- B.1. Hyperbolic equation -- B.2. Mechanism of temporal evolution of hyperbolic system -- B.3. Riemann invariant -- B.4. Simple wave -- B.5. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
C. Summary of Fourier analysis -- C.1. Fourier series -- C.2. Fourier transform -- C.3. Solution of the diffusion equation |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
D. Derivation of governing equations for water waves -- D.1. Mass conservation law -- D.2. Equation of motion -- D.3. Lagrangian derivative -- D.4. Kelvin's circulation theorem -- D.5. Potential flow and Bernoulli's theorem -- D.6. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
E. Summary to dimensional analysis -- E.1. Dimension and SI system -- E.2. Physical quantities with independent dimensions -- E.3. Conversion of unit system -- E.4. Pi theorem -- E.5. Drag on an object by dimensional analysis -- E.6. References.215 |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
F. Derivation of the KdV equation for water waves -- F.1. The basic equations -- F.2. Derivation of long wave equation -- F.3. Derivation of the KdV equation -- F.4. References |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
G. FPU recurrence and the KdV equation -- G.1. Normal mode of oscillation -- G.2. FPU recurrence -- G.3. Derivation of the KdV equation for nonlinear lattice -- G.4. References. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
Abstract freely available; full-text restricted to subscribers or individual document purchasers. |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Compendex |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
INSPEC |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google scholar |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google book search |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This is an introductory book about nonlinear waves. It focuses on two properties that various different wave phenomena have in common, the "nonlinearity" and "dispersion", and explains them in a style that is easy to understand for first-time students. Both of these properties have important effects on wave phenomena. Nonlinearity, for example, makes the wave lean forward and leads to wave breaking, or enables waves with different wavenumber and frequency to interact with each other and exchange their energies. Dispersion, for example, sorts irregular waves containing various wavelengths into gentler wavetrains with almost uniform wavelengths as they propagate, or cause a difference between the propagation speeds of the wave waveform and the wave energy. Many phenomena are introduced and explained using water waves as an example, but this is just a tool to make it easier to draw physical images. Most of the phenomena introduced in this book are common to all nonlinear and dispersive waves. This book focuses on understanding the physical aspects of wave phenomena, and requires very little mathematical knowledge. The necessary minimum knowledges about Fourier analysis, perturbation method, dimensional analysis, the governing equations of water waves, etc. are provided in the text and appendices, so even second- or third-year undergraduate students will be able to fully understand the contents of the book and enjoy the fan of nonlinear wave phenomena without relying on other books. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
|---|
| Additional physical form available note |
Also available in print. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Title from PDF title page (viewed on December 23, 2019). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Nonlinear waves. |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
nonlinear wave |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
dispersive wave |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
water wave |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
soliton |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
modulated wavetrain |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
wave-wave interaction |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
wave turbulence |
| 655 #0 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781681737126 |
| -- |
9781681737140 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis digital library of engineering and computer science. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis lectures on wave phenomena in the physical sciences ; |
| Volume/sequential designation |
#2. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to resource |
| Uniform Resource Identifier |
https://ieeexplore.ieee.org/servlet/opac?bknumber=8940932 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to full text |
| Uniform Resource Identifier |
https://doi.org/10.2200/S00963ED1V01Y201910WAV002 |
