Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Kiselev, A.V., Wolf, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146439
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations / A.V. Kiselev, T. Wolf // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 27 назв. — англ.

We construct new integrable coupled systems of N = 1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infinitely many higher symmetries is demonstrated by the presence of recursion operators. Various algebraic methods are appl...