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On the development of packets of surface gravity waves moving over an uneven bottomThe object of study is the evolution of packets of gravity waves moving over variable depth, in particular, the transformation of packets moving into a shelf of increased or decreased depth. The variable-coefficient nonlinear Schroedinger equation with inhomogeneous term is derived for gravity waves moving over an uneven bottom. A solution for an envelope-hole soliton moving over variable depth is obtained when the amplitude-length ratio of the soliton is small. For the shelf problem, it is shown that the first soliton on the shelf will be the one with smallest depression, and the last will have greatest depression. This is in contrast to Korteweg-de Vries soliton fission.
Document ID
19790041330
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Djordjevic, V. D.
(Beograd, Univerzitet Belgrade, Yugoslavia)
Redekopp, L. G.
(Southern California, University Los Angeles, Calif., United States)
Date Acquired
August 9, 2013
Publication Date
November 25, 1978
Publication Information
Publication: Zeitschrift fuer angewandte Mathematik und Physik
Volume: 29
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
79A25343
Funding Number(s)
CONTRACT_GRANT: NGR-05-018-178
Distribution Limits
Public
Copyright
Other

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