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.
| Original language | English |
|---|---|
| Pages (from-to) | 55-60 |
| Number of pages | 6 |
| Journal | Applied Mathematics and Computation |
| Volume | 218 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Sep 2011 |
Keywords
- Darboux transformation
- Explicit solution
- Integrable sixth-order KdV equation
- Lax pair
- Symbolic computation
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