| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1859178 | Physics Letters A | 2014 | 4 Pages |
Abstract
•The hierarchy of super sl(2|1)sl(2|1) KdV equations is derived.•Each equation in the hierarchy is shown to be bi-super-Hamiltonian.•The Holod–Pakuliak super KdV equation is a member of the hierarchy.•A Darboux transformation of the hierarchy is constructed.•A super lattice potential KdV (lpKdV) equation with two discrete variables is obtained.
A hierarchy of super KdV equations is derived from sl(2|1)sl(2|1) supermatrix-valued spectral problem. Each equation in the hierarchy is shown to be bi-super-Hamiltonian. Moreover, a Darboux transformation of the hierarchy is constructed. As the compatibility condition of a pair of the Darboux transformations, we obtain a super lattice potential KdV (lpKdV) equation with two discrete variables.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Ruguang Zhou,