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By definition, a quadratic Lie superalgebra is a Lie superalgebra endowedwith a non-degenerate supersymmetric bilinear form which satisfies the even andinvariant properties. In this paper we calculate all of the second cohomologygroup of elementary quadratic Lie superalgebras which have been classified in\cite{DU14} by applying the super-Poisson bracket on the super exterioralgebra. Besides, we give the classification of 8-dimensional solvablequadratic Lie superalgebras having 6-dimensional indecomposable even part. Themethod is based on the double extension and classification results of adjointorbits of the Lie algebra $\mathfrak{s}\mathfrak{p}(2)$.

The Second Cohomology Group of Elementary Quadratic Lie Superalgebras  and Classifying a Subclass of 8-dimensional Solvable Quadratic Lie  Superalgebras