Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Nishiyama, S., da Providência, J., Providência, C., Cordeiro, F., Komatsu, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149250
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results / S. Nishiyama, J. da Providência, C. Providência, F. Cordeiro, T. Komatsu // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 89 назв. — англ.

The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a symmetry of a collective submanifold in which a canonicity condition makes the...