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Nonlinear Waves in Fluids : Recent Advances and Modern Applications / edited by Roger Grimshaw.

Contributor(s): Material type: TextTextPublication details: Wien ; New York : Springer, 2005.Description: 196 p. : ill. ; 24 cmISBN:
  • 3211252592 (pbk.)
  • 9783211252598 (pbk.)
Subject(s): DDC classification:
  • 532/.0593 22
LOC classification:
  • QA927 .N685 2005
Other classification:
  • 33.27
Contents:
Korteweg-de Vries Equation (R. Grimshaw).- Weakly Nonlinear Wave Packets and the Nonlinear Schrodinger Equation (F. Dias, T. Bridges).- Wave Interactions (J. Vanneste).- Wave-mean Interaction Theory (O. Buhler).- Wave Turbulence with Applications to Atmospheric and Oceanic Waves (V. Zeitlin).- Nonlinear Amplitude Equations and Solitons in Bose-Einstein Condensates (G. Huang).
Summary: The work covers asymptotic methods for the derivation of canonical evolution equations, such as the Korteweg-deVries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applications. These themes are interlocked, and this will be demonstrated throughout the text. The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications been found.
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Includes bibliographical references.

Korteweg-de Vries Equation (R. Grimshaw).- Weakly Nonlinear Wave Packets and the Nonlinear Schrodinger Equation (F. Dias, T. Bridges).- Wave Interactions (J. Vanneste).- Wave-mean Interaction Theory (O. Buhler).- Wave Turbulence with Applications to Atmospheric and Oceanic Waves (V. Zeitlin).- Nonlinear Amplitude Equations and Solitons in Bose-Einstein Condensates (G. Huang).

The work covers asymptotic methods for the derivation of canonical evolution equations, such as the Korteweg-deVries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applications. These themes are interlocked, and this will be demonstrated throughout the text. The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications been found.

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