Isomorphism Between the R -Matrix and Drinfeld Presentations of Yangian in Types B , C and D

Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993),277-300] for type A, we showed in our previous work [J. Math. Phys. 61(2020), 031701, 41 pages] that the Gauss decomposition of the generator matrixin the R-matrix presentation of the quantum affine algebra yields theDrinfeld generators in all classical types. Complete details for type C weregiven therein, while the present paper deals with types B and D. Thearguments for all classical types are quite similar so we mostly concentrate onnecessary additional details specific to the underlying orthogonal Liealgebras.