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Solutions Classification to the Extended Reduced Ostrovsky Equation
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
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Solutions Classification to the Extended Reduced Ostrovsky Equation
Інший ID:
2000 Mathematics Subject Classification: 35Q58; 35Q53; 35C05
Посилання:
Solutions Classification to the Extended Reduced Ostrovsky Equation / Y.A. Stepanyants // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ.
Дата:
2008
Переглядів:
438
Завантажень:
246
Анотація:
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].
