Some discussions on variable separation solutions and the corresponding localized structures of nonlinear models

By means of the modified tanh-function method with radical sign combined ansatz, nine kinds of variable separation solutions of the (2+12+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff system are derived. However, one of these solutions can deduce all other solutions with different forms via re-defining functions pp and qq. Therefore, solutions with different forms obtained by the modified tanh-function method are essentially same. Based on this same result, when we construct localized structures for the potential field, we must note the initial field lest the appearance of some un-physical or even divergent structures in the initial field.