摘要
In this paper, Lie point symmetries of a new(2+1)-dimensional KdV system are constructed by using the symbolic computation software Maple. Then, the one-dimensional optimal system,associated with corresponding Lie algebra, is obtained. Moreover, the reduction equations and some explicit solutions based on the optimal system are presented. Finally, the nonlinear selfadjointness is provided and conservation laws of this KdV system are constructed.
基金
the National Natural Science Foundation of China(Grant No.11771352,11871396)
the Natural Science Foundation of Shaanxi Province(Grant No.2020JM-431)。
