Geodesic
Solutions Classification to the Extended Reduced Ostrovsky Equation
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane method, analysis of homoclinic trajectories and the like. Such an approach is seemed more vivid and free of some restrictions contained in [SIGMA 4 (2008), 053, 17 pages].
Keywords: reduced Ostrovsky equation; mechanical analogy; phase plane; periodic waves; solitary waves
Mots-clés : compactons. 
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     title = {Solutions {Classification} to the {Extended} {Reduced} {Ostrovsky} {Equation}},
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Yury A. Stepanyants. Solutions Classification to the Extended Reduced Ostrovsky Equation. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a72/

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