Stepanyants, Yury A. (2008) Solutions classification to the extended reduced Ostrovsky equation. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 4.
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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].
|Item Type:||Article (Commonwealth Reporting Category C)|
|Additional Information:||The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.|
|Uncontrolled Keywords:||reduced Ostrovsky equation; mechanical analogy; phase plane; periodic waves; solitary waves; compactons|
|Subjects:||230000 Mathematical Sciences > 239900 Other Mathematical Sciences > 239999 Mathematical Sciences not elsewhere classified
230000 Mathematical Sciences > 230100 Mathematics > 230107 Differential, Difference and Integral Equations
|Depositing User:||Assoc Prof Yury Stepanyants|
|Date Deposited:||30 Jan 2010 07:39|
|Last Modified:||02 Jul 2013 23:24|
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