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Leibniz superalgebras with nilindex $n + m$ and characteristic sequence$(n-1, 1 \ | \ m)$ divided into four parametric classes that contain a set ofnon-isomorphic superalgebras. In this paper, we give a complete classificationof solvable Leibniz superalgebras whose nilradical is a nilpotent Leibnizsuperalgebra with nilindex $n + m$ and characteristic sequence $(n-1, 1 \ | \m)$. We obtain a condition for the value of parameters of the classes of suchnilpotent superalgebras for which they have a solvable extension. Moreover, theclassification of solvable Leibniz superalgebras whose nilradical is a Liesuperalgebra with the maximal nilindex is given.

Solvable Leibniz superalgebras whose nilradical has the characteristic sequence $(n-1, 1 \mid m)$ and nilindex $n+m$