Bibliographic Details
| Author / Creator: | Todorov, Michail D., author.
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| Imprint: | San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
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| Description: | 1 online resource (various pagings) : illustrations (some color).
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| Language: | English |
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| Series: | [IOP release 5]
IOP concise physics, 2053-2571
Series on wave phenomena in the physical sciences
IOP (Series). Release 5.
IOP concise physics.
Series on wave phenomena in the physical sciences.
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| Subject: | |
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| Format: | E-Resource
Book
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| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11694600 |
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Hidden Bibliographic Details
| Other authors / contributors: | Morgan & Claypool Publishers, publisher.
Institute of Physics (Great Britain), publisher.
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| ISBN: | 9781643270470
9781643270456
9781643270449
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| Notes: | "Version: 20180801"--Title page verso.
"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Includes bibliographical references.
Also available in print.
System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Michail Todorov graduated in 1984 and received PhD degree in 1989 from the St. Kliment Ohridski University of Sofia, Bulgaria. Since 1990, he has been Associate Professor and Full Professor (2012) with the Department of Applied Mathematics and Computer Science by the Technical University of Sofia, Bulgaria. For the last few years, his primary research areas have been mathematical modeling, computational studies, and scientific computing of nonlinear phenomena including soliton interactions, nonlinear electrodynamics, nonlinear optics, mathematical biology and bioengineering, and astrophysics.
Title from PDF title page (viewed on September 10, 2018).
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| Summary: | 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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| Other form: | Print version: 9781643270449
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| Standard no.: | 10.1088/978-1-64327-047-0
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