Author:
He Baiying,Liu Shiyuan,Gao Siyu
Abstract
AbstractBased on the symplectic Lie algebra $$\mathfrak {sp}(4)$$
sp
(
4
)
, we obtain two integrable hierarchies of $$\mathfrak {sp}(4)$$
sp
(
4
)
, and by using the trace identity, we give their Hamiltonian structures. Then, we use $$2\times 2$$
2
×
2
Kronecker product, and construct integrable coupling systems of one soliton equation. Next, we consider two bases of Lie algebra $$\mathfrak {so}(5)$$
so
(
5
)
, and we get the corresponding two integrable hierarchies. Finally, we discuss the relation between the integrable hierarchies of two different bases associated with Lie algebra $$\mathfrak {so}(5)$$
so
(
5
)
.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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