Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2015-10-01

Journal: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Included Journals: Scopus、SCIE

Volume: 70

Issue: 10

Page Number: 791-796

ISSN: 0932-0784

Key Words: Hamiltonian Structure; Super 2+1 Dimensional Equation; Super Lie Algebra

Abstract: In the article, we make use of the binormial-residue- representation (BRR) to generate super 2+1 dimensional integrable systems. Using these systems, we can deduce a super 2+1 dimensional AKNS hierarchy, which can be reduced to a super 2+1 dimensional nonlinear Schrodinger equation. In particular, two main results are obtained. One of them is a set of super 2+1 dimensional integrable couplings. The other one is a 2+1 dimensional diffusion equation. The Hamiltonian structure of the super 2+1 dimensional hierarchy is derived by using the super-trace identity.