Exact solutions of a variable-coefficient KdV equation arising in a shallow water
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1854-1858 |
| Journal / Publication | Journal of the Physical Society of Japan |
| Volume | 68 |
| Issue number | 6 |
| Publication status | Published - Jun 1999 |
Link(s)
Abstract
This paper studies a variable-coefficient KdV (vcKdV) equation arising in a shallow water. For a practically acceptable water bottom, we find that it can be transformed into the cylindrical KdV equation. As a result, several exact bounded solutions are obtained. One of the solutions has the shape of a solitary wave with a shelf behind, which confirms approximate analytical and numerical results in the literature.
Research Area(s)
- Cylindrical KdV equation, Shallow-water waves, Variable-coefficient KdV equation
Citation Format(s)
Exact solutions of a variable-coefficient KdV equation arising in a shallow water. / Dai, Hui-Hui.
In: Journal of the Physical Society of Japan, Vol. 68, No. 6, 06.1999, p. 1854-1858.
In: Journal of the Physical Society of Japan, Vol. 68, No. 6, 06.1999, p. 1854-1858.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
