Drinfeld Isomorphism for Novel Quantum Affine Algebra of Type $A_{1}^{(1)}$

In this paper, we first review the definition of the novel quantum affine algebra $U_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)$ of type $A_{1}^{(1)}$ given in \cite{FHZ, HZhuang}. Furthermore, by introducing $\Omega$-invariant generating functions, we construct the Drinfeld realization $U^{D}_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)$ of this algebra, and prove that $U_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)$ and $U^{D}_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)$ are algebraically isomorphic, which is known as the Drinfeld Isomorphism.