Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended (2+1)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics

This paper is to investigate the extended (2+1)-dimensional Konopelchenko-Dubrovsky equations, which can be applied to describing some phenomena in the stratified shear flow, the internal and shallow-water waves and plasmas. Bilinear-form equations are transformed from the original equations and N-soliton solutions are derived via symbolic computation. Bilinear-form Bäcklund transformation and single-soliton solution are obtained and illustrated. Wronskian solutions are constructed from the Bäcklund transformation and single-soliton solution.

► Via bilinear method, bilinear-form equations are transformed from the original equations. ► Soliton solutions are derived via symbolic computation. ► Bilinear-form Bäcklund transformation and the single-soliton solution are obtained and illustrated. ► Wronskian solutions are constructed from the Bäcklund transformation and solution.