Journal article
Semi-stability of embedded solitons in the general fifth-order KdV equation
Abstract
Evolution of perturbed embedded solitons in the general Hamiltonian fifth-order Korteweg–de Vries (KdV) equation is studied. When an embedded soliton is perturbed, it sheds a one-directional continuous-wave radiation. It is shown that the radiation amplitude is not minimal in general. A dynamical equation for velocity of the perturbed embedded soliton is derived. This equation shows that a neutrally stable embedded soliton is in fact …
Authors
Tan Y; Yang J; Pelinovsky DE
Journal
Wave Motion, Vol. 36, No. 3, pp. 241–255
Publisher
Elsevier
Publication Date
September 2002
DOI
10.1016/s0165-2125(02)00016-1
ISSN
0165-2125