| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1866667 | Physics Letters A | 2016 | 8 Pages |
•The dual system of the supersymmetric two boson system is constructed through the approach of tri-Hamiltonian duality.•The bi-Hamiltonian structure and a new linear spectral problem for the dual sTB system are presented.•The connection of the dual sTB system with the N=2N=2 supersymmetric Camassa–Holm equation have been established.•A new linear spectral problem for the N=2N=2 supersymmetric Camassa–Holm equation is presented.
The dual system of the supersymmetric two boson system is constructed through the approach of tri-Hamiltonian duality, and inferred from this duality, its zero-curvature representation is also figured out. Furthermore, the dual system is shown to be equivalent to a N=2N=2 supersymmetric Camassa–Holm equation, and this relation results in a new linear spectral problem for the N=2N=2 supersymmetric Camassa–Holm equation.
