Supersymmetric integrable systems in (2+1) dimensions and their Backlund transformation

摘要

Nonlinear integrable systems in (2 + 1) dimensions which are supersymmetric are generated in two different ways. In one approach the homogeneous spaces of super-lie algebra are used, and in the other we use a different technique of extending the dimension of the system. The two sets of equations turn out to be different. The methodologies of Darbux-Backlund transformation and gauge transformation are used to generate the Backlund transformations of these equations. An important result of our analysis is the existence of purely fermionic nonlinear systems in (2 + 1) dimensions. References: 15