Article ID Journal Published Year Pages File Type
1864225 Physics Letters A 2006 6 Pages PDF
Abstract

We present a new basis of the loop algebra A˜1 which is devote to setting up a new isospectral problem. By using Tu scheme, a new Liouville integrable hierarchy of soliton equations with two arbitrary parameters, which possesses the bi-Hamiltonian structure, is worked out. As reduction cases, it is shown that the hierarchy can be decomposed into the well-known AKNS hierarchy and the BPT hierarchy by taking different values of the parameters respectively. We call the hierarchy as an unified expression of the AKNS and the BPT hierarchies.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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