TY - JOUR
T1 - An unified form of the AKNS and BPT hierarchies with two arbitrary parameters
AU - Fan, Engui
AU - TAM, Hon Wah
AU - Zhang, Yufeng
N1 - Funding Information:
This work was supported by The National Science Foundations of China (10371023, 10471139), National Key Basic Research Project of China (2004CB318000) and Hong Kong Research Grant Council grant No. HKBU 2016/05p.
PY - 2006/12/18
Y1 - 2006/12/18
N2 - We present a new basis of the loop algebra over(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.
AB - We present a new basis of the loop algebra over(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.
KW - AKNS hierarchy
KW - BPT hierarchy
KW - Hamiltonian structure
KW - Loop algebra
UR - http://www.scopus.com/inward/record.url?scp=33750294072&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2006.07.059
DO - 10.1016/j.physleta.2006.07.059
M3 - Article
AN - SCOPUS:33750294072
VL - 360
SP - 99
EP - 104
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 1
ER -