  Using the concept of 3-Lie bialgebra, which has recently been defined in
arXiv:1604.04475, we construct Bagger-Lambert-Gustavson (BLG) model for
M2-brane on Manin triple of a special 3-Lie bialgebra. Then by using the
correspondence and relation between those 3-Lie bialgebra with Lie bialgebra,
we reduce this model to an $N=(4,4)$ WZW model (D2-brane), such that, its
algebraic structure is a Lie bialgebra with one 2-cocycle. In this manner by
using correspondence of 3-Lie bialgebra and Lie bialgebra (for this special
3-Lie algebra) one can construct M2-brane from a D2-brane and vice versa.
