Gauge transformations for the constrained CKP and BKP hierarchies

A special chain of the gauge transformations of the two-component constrained KP is introduced, and then the transformed components and the τ-function of this hierarchy are presented. Based on this, by the different reductions, the gauge transformations of the constrained BKP and the constrained CKP hierarchies are obtained. Furthermore, the transformed component functions and τ-functions of them are expressed by the determinants with the help of the determinant representation of the gauge transformation operators.