The super-Kadomtsev-Petviashvili (SKP) hierarchy is introduced, and the general solutions are explicitly represented in terms of a superdeterminant. It is proved that the SKP hierarchy can be regarded as a dynamical system on a super-Grassmann manifold of infinite dimensions.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics