We study the long time asymptotic behavior for the Cauchy problem of an integrable real nonlocal mKdV equation with nonzero initial data in the solitonic regions qt(x,t)-6σq(x,t)q(-x,-t)qx(x,t)+qxxx(x,t)=0,q(x,0)=q0(x),limx→±∞q0(x)=q±,\documentclass[12pt]{minimal}
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\begin{document}$$\begin{aligned}&q_t(x,t)-6\sigma q(x,t)q(-x,-t)q_{x}(x,t)+q_{xxx}(x,t)=0, \\&\quad q(x,0)=q_{0}(x),\ \ \lim _{x\rightarrow \pm \infty } q_{0}(x)=q_{\pm }, \end{aligned}$$\end{document}where |q±|=1\documentclass[12pt]{minimal}
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\begin{document}$$|q_{\pm }|=1$$\end{document} and q+=δq-\documentclass[12pt]{minimal}
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\begin{document}$$q_{+}=\delta q_{-}$$\end{document}, σδ=-1\documentclass[12pt]{minimal}
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\begin{document}$$\sigma \delta =-1$$\end{document}. In our previous article, we have obtained long time asymptotics for the nonlocal mKdV equation in the solitonic region -6<ξ<6\documentclass[12pt]{minimal}
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\begin{document}$$-6<\xi <6$$\end{document} with ξ=xt\documentclass[12pt]{minimal}
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\begin{document}$$\xi =\frac{x}{t}$$\end{document}. In this paper, we give the asymptotic expansion of the solution q(x, t) for other solitonic regions ξ<-6\documentclass[12pt]{minimal}
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\begin{document}$$\xi <-6$$\end{document} and ξ>6\documentclass[12pt]{minimal}
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\begin{document}$$\xi >6$$\end{document}. Based on the Riemann–Hilbert formulation of the Cauchy problem, further using the ∂¯\documentclass[12pt]{minimal}
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\begin{document}$${\bar{\partial }}$$\end{document} steepest descent method, we derive different long time asymptotic expansions of the solution q(x, t) in above two different space-time solitonic regions. In the region ξ<-6\documentclass[12pt]{minimal}
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\begin{document}$$\xi <-6$$\end{document}, phase function θ(z)\documentclass[12pt]{minimal}
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\begin{document}$$\theta (z)$$\end{document} has four stationary phase points on the R\documentclass[12pt]{minimal}
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\begin{document}$${\mathbb {R}}$$\end{document}. Correspondingly, q(x, t) can be characterized with an N(Λ)\documentclass[12pt]{minimal}
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\begin{document}$${\mathcal {N}}(\Lambda )$$\end{document}-soliton on discrete spectrum, the leading order term on continuous spectrum and an residual error term, which are affected by a function Imν(ζi)\documentclass[12pt]{minimal}
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\begin{document}$$\textrm{Im}\nu (\zeta _i)$$\end{document}. In the region ξ>6\documentclass[12pt]{minimal}
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\begin{document}$$\xi >6$$\end{document}, phase function θ(z)\documentclass[12pt]{minimal}
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\begin{document}$$\theta (z)$$\end{document} has four stationary phase points on iR\documentclass[12pt]{minimal}
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\begin{document}$$i{\mathbb {R}}$$\end{document}, the corresponding asymptotic approximations can be characterized with an N(Λ)\documentclass[12pt]{minimal}
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\begin{document}$${\mathcal {N}}(\Lambda )$$\end{document}-soliton with diverse residual error order O(t-1)\documentclass[12pt]{minimal}
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\begin{document}$${\mathcal {O}}(t^{-1})$$\end{document}.
