Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Gerdjikov, V.S., Kostov, N.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149036
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type / V.S. Gerdjikov, N.A. Kostov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 30 назв. — англ.

New reductions for the multicomponent modified Korteweg-de Vries (MMKdV) equations on the symmetric spaces of DIII-type are derived using the approach based on the reduction group introduced by A.V. Mikhailov. The relevant inverse scattering problem is studied and reduced to a Riemann-Hilbert proble...