Affiliation:
1. Department of Mathematics, Shanghai University, Shanghai 200444, China
Abstract
In this paper, we firstly recall some basic facts on the Two-Boson hierarchy. Then, introducing some time variables that consist of a non-abelian Lie algebra. Next, we construct additional symmetries for the Two-Boson hierarchy with the aid of the Orlov–Schulman operator, which depend on the time variables and dressing operator. In addition, we give the additional flow equations of the Two-Boson hierarchy as a simple example, and prove that the additional flows are symmetries of the Two-Boson hierarchy. In this way, an isomorphism between the additional symmetries of the Two-Boson hierarchy and the [Formula: see text] algebra is constructed. Finally, the multi-component Two-Boson hierarchy can be defined, and we consider the additional symmetries for the multi-component Two-Boson hierarchy with the method of Dickey, Orlov, and Shulman.
Funder
the Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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