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Title of Journal: Acta Mechanica

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Abbravation: Acta Mechanica

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Springer-Verlag

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10.1002/prs.10138

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1619-6937

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Macropterons micropterons and similarity reductio

Authors: YiTian Gao Bo Tian ChunYi Zhang
Publish Date: 2006/02/09
Volume: 182, Issue: 1-2, Pages: 17-29
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Abstract

The Ostrovsky model is widely used to describe mechanical and physical problems such as internal or surface waves in the oceans and magnetic sounds in plasmas This model has recently been Grimshawregularized for certain continuity in the mass field while computerized symbolic computation becomes a branch of artificial intelligence In this paper some similarity reductions are found for the regularized OstrovskyGrimshaw model with symbolic computation to a coupled set of nonlinear ordinary differential equations The micropterons and macropterons are analytically presented and discussed and have been found to contain certain solitonic cores plus a number of sinusoidal ``wings Examples are the micropterons and macropterons for fluid velocities in the wave propagation direction and transverse direction respectively

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