On solvable complete symplectic Lie algebras

In this paper, we are interested in solvable complete Lie algebras, over the field $\text{K}=\mathbb{R}$ or $\mathbb{C}$, which admit a symplectic structure. Specifically, important classes are studied, and a description of complete Lie Algebra with the dimension of nilradical less or equal than six, which supported symplectic structure is given.