Nonlinear waves : theory, computer simulation, experiment /
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| Format: | eBook |
| Language: | English |
| Published: |
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :
Morgan and Claypool Publishers,
[2018]
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| Series: | IOP (Series). Release 5.
IOP concise physics. Series on wave phenomena in the physical sciences. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Abstract: | The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. The prevalent part of the known analytical and numerical solutions, however, relates to the 1d case while for multidimensional cases, almost nothing is known so far. An exclusion is the solutions of the Kadomtsev-Petviashvili equation. The difficulties originate from the lack of known analytic initial conditions and the nonintegrability in the multidimensional case. Another problem is which kind of nonlinearity will keep the temporal stability of localized solutions. |
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| Item Description: | "Version: 20180801"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. |
| Physical Description: | 1 online resource (various pagings) : illustrations (some color). Also available in printing. |
| Format: | Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781643270470 9781643270456 |
| ISSN: | 2053-2571 |