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Existence of periodic traveling wave solutions for the Ostrovsky equation
Author(s) -
Ishimura Naoyuki,
Mizumachi Tetsu
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.990
Subject(s) - traveling wave , mathematics , periodic wave , nonlinear system , mathematical analysis , basis (linear algebra) , rotation (mathematics) , physics , geometry , quantum mechanics
We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyright © 2008 John Wiley & Sons, Ltd.

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