| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630823 | Applied Mathematics and Computation | 2011 | 6 Pages |
Abstract
Korteweg–de Vries (KdV)-type equations can describe some physical phenomena in fluids, nonlinear optics, quantum mechanics, plasmas, etc. In this paper, with the aid of symbolic computation, the integrable sixth-order KdV equation is investigated. Darboux transformation (DT) with an arbitrary parameter is presented. Explicit solutions are derived with the DT. Relevant properties are graphically illustrated, which might be helpful to understand some physical processes in fluids, plasmas, optics and quantum mechanics.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiao-Yong Wen, Yi-Tian Gao, Lei Wang,