A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
2006
Symmetry, Integrability and Geometry: Methods and Applications
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 applied to the analysis of symmetries, conservation laws, recursion operators, and Hamiltonian structures. A fermionic extension of the Burgers equation is related with the Burgers flows on associative
doi:10.3842/sigma.2006.030
fatcat:annups6pnzdvnmirbs74mov4aq