TY - JOUR
T1 - A general method for generating multicomponent integrable hierarchies
AU - Tam, Hon Wah
AU - Zhang, Yu Feng
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2005/2
Y1 - 2005/2
N2 - A Lie algebra, whose bases are the forms of M × 3 matrices, is defined. Subsequently two types of loop algebras are constructed, whose commutative operations are equivalent to known ones proposed before. By using the Tu scheme, the mulicomponent KN hierarchy and its integrable coupling system, as well as a generalized multicomponent AKNS integrable hierarchy with five potential functions are obtained. The procedure presented in this paper is simple and straightforward and can be used generally
AB - A Lie algebra, whose bases are the forms of M × 3 matrices, is defined. Subsequently two types of loop algebras are constructed, whose commutative operations are equivalent to known ones proposed before. By using the Tu scheme, the mulicomponent KN hierarchy and its integrable coupling system, as well as a generalized multicomponent AKNS integrable hierarchy with five potential functions are obtained. The procedure presented in this paper is simple and straightforward and can be used generally
UR - https://www.scopus.com/pages/publications/4644312319
U2 - 10.1016/S0960-0779(04)00349-2
DO - 10.1016/S0960-0779(04)00349-2
M3 - Journal article
AN - SCOPUS:4644312319
SN - 0960-0779
VL - 23
SP - 963
EP - 971
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -