摘要：The goal of this study is to offer an exclusive functional conversion to produce ( n + 1 ) $(n+1)$ -dimensional dual-mode nonlinear equations. This transformation has been implemented and new ( 3 + 1 ) $(3+1)$ -dimensional dual-mode Gradner-type and KdV-type have been established. Finally, the simplified bilinear method is used to tell the necessary conditions on these new models to have multiple singular-solitons.
