Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1868440 | Physics Letters A | 2006 | 6 Pages |
Abstract
A relation between semi-direct sums of Lie algebras and integrable couplings of continuous soliton equations is presented, and correspondingly, a feasible way to construct integrable couplings is furnished. A direct application to the AKNS spectral problem leads to a novel hierarchy of integrable couplings of the AKNS hierarchy of soliton equations. It is also indicated that the study of integrable couplings using semi-direct sums of Lie algebras is an important step towards complete classification of integrable systems.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Wen-Xiu Ma, Xi-Xiang Xu, Yufeng Zhang,