Nonlinear waves (Record no. 72664)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03408nmm a22004098a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00011025 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220711214154.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181022s2018 si a ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789813271616 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 531/.113301515353 |
| 100 1# - AUTHOR NAME | |
| Author | Popivanov, Peter R. |
| 245 10 - TITLE STATEMENT | |
| Title | Nonlinear waves |
| Sub Title | a geometrical approach / |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific Publishing Co. Pte Ltd., |
| Year of publication | ©2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (208 p.) : |
| 490 0# - SERIES STATEMENT | |
| Series statement | Series on analysis, applications, and computation ; |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Traveling waves and their profiles -- Solvability of PDEs from physics and geometry -- Interaction of peakons and kinks -- Dressing method and geometrical applications -- Hirota's method in soliton theory -- Special type solutions of evolution PDEs -- Regularity properties of nonlinear hyperbolic PDEs. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics. Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used. This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics, quantum mechanics, amongst others."-- |
| 700 1# - AUTHOR 2 | |
| Author 2 | Slavova, Angela. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/11025#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 588 ## - | |
| -- | Title from web page (viewed December 5, 2018). |
| 520 ## - SUMMARY, ETC. | |
| -- | Publisher's website. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear wave equations. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear waves. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear partial differential operators. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electronic books. |
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