Soliton solutions, Bäcklund transformation and wronskian solutions for the (2+1)-dimensional Variable-Coefficient Konopelchenko-Dubrovsky equations in fluid Mechanics

This paper is to investigate the (2+1)-dimensional variable-coefficient Konopelchenko- Dubrovsky equations, which can be applied to the phenomena in stratified shear flow, internal and shallow-water waves, plasmas, and other fields. The bilinear-form equations are transformed from the original equations, and soliton solutions are derived via symbolic computation. Soliton solutions and collisions are illustrated. The bilinear-form B̈acklund transformation and another soliton solution are obtained. Wronskian solutions are constructed via the B̈acklund transformation and solution.