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The present article is a part of the study of solvable Leibniz algebras witha given nilradical. In this paper solvable Leibniz algebras, whose nilradicalsis naturally graded $p$-filiform non-Lie Leibniz algebra $(n-p\geq4)$ and thecomplemented space to nilradical has maximal dimension, are described up toisomorphism. Moreover, among obtained algebras we indicate the rigid andcomplete algebras

Solvable Leibniz algebras with naturally graded non-Lie $p$-filiform nilradicals and maximal complemented space of its nilradical