## Abstract We study the variableβbottom, generalized Kortewegβde Vries (bKdV) equation β~__t__~__u__ = ββ~__x__~(β__u__ + __f__(__u__) β __b__(__t,x__)__u__), where __f__ is a nonlinearity and __b__ is a small, bounded, and slowly varying function related to the varying depth of a channel of water
β¦ LIBER β¦
Internal solitary waves in a variable medium
β Scribed by Roger Grimshaw
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 145 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0936-7195
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β¦ Synopsis
Abstract
In both the ocean and the atmosphere, the interaction of a density stratified flow with topography can generate largeβamplitude, horizontally propagating internal solitary waves. Often these waves are observed in regions where the waveguide properties vary in the direction of propagation. In this article we consider nonlinear evolution equations of the Kortewegde Vries type, with variable coefficients, and use these models to review the properties of slowlyβvarying periodic and solitary waves. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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