Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422049 | Applied Mathematics and Computation | 2011 | 8 Pages |
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.
⺠Via bilinear method, bilinear-form equations are transformed from the original equations. ⺠Soliton solutions are derived via symbolic computation. ⺠Bilinear-form Bäcklund transformation and the single-soliton solution are obtained and illustrated. ⺠Wronskian solutions are constructed from the Bäcklund transformation and solution.