Bäcklund Transformations of Some Nonlinear Evolution Equations VIA Painlevè Analysis

In this paper we present the Painleve test for the (1+1) -dimensional travelling regularized long wave (TRLW) equation, the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation, the modified improved Kadomtsev-Petviashvili equation (MIKP) and the variant shallow water wave equations. The associated Backlund transformations are obtained directly from the Painleve test. , ( j j j t x t x u t x t x u   