Abstract
The transverse stability of the planar solitons described by the fifth-order Korteweg-de Vries equation (Kawahara solitons) is studied. It is shown that the planar solitons are unstable with respect to bending if the coefficient at the fifth-derivative term is positive and stable if it is negative. This is in agreement with the dynamics of the two-dimensional Kawahara solitons.
| Original language | English |
|---|---|
| Journal | Physical Review E |
| Volume | 47 |
| Issue number | 1 |
| Pages (from-to) | 674-676 |
| ISSN | 1063-651X |
| DOIs | |
| Publication status | Published - 1993 |