Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Інший ID:
2000 Mathematics Subject Classification: 37K10; 35Q53; 37K20
Посилання:
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 45 назв. — англ.
Підтримка:
We are grateful to Professor V.V. Sokolov for helpful discussions. This work was supported by Federal Agency for Education of Russian Federation, project # 1.5.07.
Дата:
2008
Переглядів:
535
Завантажень:
224
Анотація:
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with 4 × 4 matrices are presented.
