Name
Title | ||
|---|---|---|
Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended (2+1)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. |
Abstract | ||
|---|---|---|
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. © 2011 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.07.063 | Applied Mathematics and Computation |
Keywords | Field | DocType |
(2+1)-dimensional Konopelchenko–Dubrovsky equations,Fluid mechanics,Soliton solutions,Bäcklund transformation,Wronskian solutions,Symbolic computation | Soliton,Mathematical analysis,Fluid mechanics,Wronskian,Symbolic computation,Shear flow,Mathematics,One-dimensional space | Journal |
Volume | Issue | ISSN |
218 | 6 | 0096-3003 |
Citations | PageRank | References |
1 | 0.38 | 11 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peng-Bo Xu | 1 | 1 | 0.38 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Xiao-Ling Gai | 3 | 10 | 3.67 |
| De-Xin Meng | 4 | 11 | 3.56 |
| Yu-Jia Shen | 5 | 9 | 3.12 |
| Lei Wang | 6 | 7 | 3.51 |