Darboux transformation and soliton solutions for the Heisenberg hierarchy
Abstract
Starting from a spectral problem, we derive the well-known Heisenberg hierarchy. An explicit and universal Darboux transformation for the whole hierarchy is constructed. The soliton solutions for the Heisenberg hierarchy are obtained by applying the Darboux transformation.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- June 2005
- DOI:
- 10.1088/0305-4470/38/23/009
- Bibcode:
- 2005JPhA...38.5217W