| Autor: |
Gilman, O. A., Grimshaw, R., Stepanyants, Yu. A. |
| Zdroj: |
Studies in Applied Mathematics; July 1995, Vol. 95 Issue: 1 p115-126, 12p |
| Abstrakt: |
Approximate stationary solutions of the Ostrovsky equation describing long weakly nonlinear waves in a rotating liquid are constructed. These solutions may be regarded as a periodic sequence of arcs of parabolas containing Korteweg‐de Vries solitons at the junctures. Results of numerical computations of the dynamics of the approximate solutions obtained from the nonstationary Ostrovsky equation are presented. It is found that, in the presence of negative dispersion, the shape of a stationary wave is well predicted by the approximate theory, whereas the calculated wave velocity differs slightly from the theoretical value. The stationary solutions in media with positive dispersion are evidently unstable (at least for sufficiently strong rotation), and numerical computations demonstrate a complicated picture of nonstationary destruction. |
| Databáze: |
Supplemental Index |
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