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Indexed by:Journal Papers

Date of Publication:2015-10-01

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

Included Journals:SCIE、Scopus

Volume:70

Issue:10

Page Number:791-796

ISSN No.: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.