Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1889793 | Chaos, Solitons & Fractals | 2008 | 7 Pages |
Abstract
A few reduced equations from the self-dual Yang-Mills equations are presented, which are seemly extended zero curvature equations. As their applications, a good many nonlinear evolution equations could be obtained. In this paper, a (2Â +Â 1)-dimensional AKNS hierarchy of soliton equations is generated from one of reduced equations of the self-dual Yang-Mills equations. With the help of a proper loop algebra, the Hamiltonian structure of its expanding integrable model (actually, its integrable couplings) is worked out by using the quadratic-form identity, which is Liouville integrable. The way presented in the paper has extensive applications. That is to say, making use of the approach specially a few higher-dimensional zero curvature equations in the paper could produce a lots of higher-dimensional integrable coupling systems and their corresponding Hamiltonian structures.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Yufeng Zhang, Honwah Tam, Wei Jiang,