A new kind of integrable couplings of soliton hierarchies with self-consistent sources associated with s~l(4) was presented. Based upon this method, a new integrable couplings of Li soliton hierarchy with self-consistent sources was obtained by making use of loop algebra s~l(4). Meanwhile, the Hamiltonian structure of the integrable couplings of Li soliton hierarchy was obtained by making use of variational identity. The method in this study can be applied to other soliton hierarchies with self-consistent sources.

Date Published: 13 March 2013
PDF: 8 pages
Proc. SPIE 8784, Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies, 87840O (13 March 2013); doi: 10.1117/12.2013903

Published in SPIE Proceedings Vol. 8784:
Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies
Yulin Wang; Liansheng Tan; Jianhong Zhou, Editor(s)