Nonlinear waves : theory, computer simulation, experiment / M.D. Todorov.

By: Todorov, Michail D [author.]Contributor(s): Morgan & Claypool Publishers [publisher.] | Institute of Physics, IOP - EBA (Great Britain) [publisher.]Material type: TextTextSeries: IOP (Series)Release 5 | IOP concise physics | Series on wave phenomena in the physical sciencesPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]Description: 1 online resource (various pagings) : illustrations (some color)Content type: text Media type: electronic Carrier type: online resourceISBN: 9781643270470 ebookSubject(s): Nonlinear wave equations | Mathematical physics | Dynamics & statistics | SCIENCE / Mechanics / DynamicsAdditional physical formats: Print version:: No titleDDC classification: 530.155355 LOC classification: QA927 .T646 2018ebOnline resources: e-book Full-text access Also available in print.
Contents:
1. Two-dimensional Boussinesq equation. Boussinesq paradigm and soliton solutions -- 1.1. Boussinesq equations. Generalized wave equation -- 1.2. Investigation of the long-time evolution of localized solutions of a dispersive wave system -- 1.3.
2. Systems of coupled nonlinear Schr�odinger equations. Vector Schr�odinger equation -- 2.1. Conservative scheme in complex arithmetic for vector nonlinear Schr�odinger equations -- 2.2. Finite-difference implementation of conserved
3. Ultrashort optical pulses. Envelope dispersive equations -- 3.1. On a method for solving of multidimensional equations of mathematical physics -- 3.2. Dynamics of high-intensity ultrashort light pulses at some basic propagation regimes -- 3.3
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 wa
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IOP Science eBook - EBA QA927 .T646 2018eb (Browse shelf (Opens below)) Available IOP_20210021

"Version: 20180801"--Title page verso.

"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

1. Two-dimensional Boussinesq equation. Boussinesq paradigm and soliton solutions -- 1.1. Boussinesq equations. Generalized wave equation -- 1.2. Investigation of the long-time evolution of localized solutions of a dispersive wave system -- 1.3.

2. Systems of coupled nonlinear Schr�odinger equations. Vector Schr�odinger equation -- 2.1. Conservative scheme in complex arithmetic for vector nonlinear Schr�odinger equations -- 2.2. Finite-difference implementation of conserved

3. Ultrashort optical pulses. Envelope dispersive equations -- 3.1. On a method for solving of multidimensional equations of mathematical physics -- 3.2. Dynamics of high-intensity ultrashort light pulses at some basic propagation regimes -- 3.3

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 wa

Also available in print.

Mode of access: World Wide Web.

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 C

Title from PDF title page (viewed on September 10, 2018).