New Approaches to Nonlinear Waves (Record no. 12372)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 05691nam a22004935i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-20690-5 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190213151929.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150819s2016 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319206905 |
| -- | 978-3-319-20690-5 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-319-20690-5 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC19.2-20.85 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.1 |
| Edition number | 23 |
| 245 10 - TITLE STATEMENT | |
| Title | New Approaches to Nonlinear Waves |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | edited by Elena Tobisch. |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XV, 298 p. 65 illus., 15 illus. in color. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Physics, |
| International Standard Serial Number | 0075-8450 ; |
| Volume number/sequential designation | 908 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction (E. Tobisch) -- Brief historical overview -- Main notions -- Resonant interactions -- Modulation instability -- Frameworks -- Reality check -- References -- The effective equation method (Sergei Kuksin and Alberto Maiocchi) -- Introduction -- How to construct the effective equation -- Structure of resonances -- CHM: resonance clustering -- Concluding remarks -- References -- On the discovery of the steady-state resonant water waves (Shijun Liao, Dali Xu and Zeng Liu) -- Introduction -- Basic ideas of homotopy analysis method -- Steady-state resonant waves in constant-depth water -- Experimental observation -- Concluding remarks -- References -- Modulational instability in equations of KdV type (Jared C. Bronski, Vera Mikyoung Hur and Mathew A. Johnson) -- Introduction -- Periodic traveling waves of generalized KdV equations -- Formal asymptotics and Whitham’s modulation theory -- Rigorous theory of modulational instability -- Applications -- Concluding remarks -- References -- Modulational instability and rogue waves in shallow water models (R. Grimshaw, K. W. Chow and H. N. Chan) -- Introduction -- Korteweg-de Vries equations -- Boussinesq model -- Hirota-Satsuma model -- Discussion -- References -- Hamiltonian framework for short optical pulses (Shalva Amiranashvili) -- Introduction -- Poisson brackets -- Pulses in optical fibers -- Hamiltonian description of pulses -- Concluding remarks -- References -- Modeling water waves beyond perturbations (Didier Clamond and Denys Dutykh) -- Introduction -- Preliminaries -- Variational formulations -- Examples -- Discussion -- References -- Quantitative Analysis of Nonlinear Water-Waves: a Perspective of an Experimentalist (Lev Shemer) -- Introduction -- The experimental facilities -- The Nonlinear Schrödinger Equation -- The Modified Nonlinear Schrödinger (Dysthe) Equation -- The Spatial Zakharov Equation -- Statistics of nonlinear unidirectional water waves -- Discussion and Conclusions -- References. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima, KdV-type, Klein-Gordon, NLS-type, Serre, Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics. . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Statistical physics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Theoretical, Mathematical and Computational Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19005 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Classical and Continuum Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P2100X |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Complex Systems. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P33000 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geophysics and Environmental Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P32000 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Statistical Physics and Dynamical Systems. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19090 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tobisch, Elena. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319206899 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319206912 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Lecture Notes in Physics, |
| -- | 0075-8450 ; |
| Volume number/sequential designation | 908 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-20690-5 |
| 912 ## - | |
| -- | ZDB-2-PHA |
| 912 ## - | |
| -- | ZDB-2-LNP |
No items available.