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Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
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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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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:
516
Завантажень:
218
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.
