Multiple residual symmetries and soliton-cnoidal wave interaction solution of the (2+1)-dimensional negative-order modified Calogero-Bogoyavlenskii-Schiff equation

摘要

The residual symmetry for the (2+1)-dimensional negative-order modified Calogero-Bogoyavlenskii-Schiff (nmCBS) equation is derived from the truncated Painleve expansion, and is extended to the multiple residual symmetries, which can be transformed to Lie point symmetries by introducing a suitable prolonged system. The nth Backlund transformation (BT) related to multiple residual symmetries is given in terms of determinant. More importantly, we obtain the explicit soliton-cnoidal wave interaction solution from a consistent differential equation.