D. Pelinovsky
Instability and decay of solitary waves in the Davey - Stewartson I system
Phys. Lett. A 196, 181-186 (1994)
Abstract:
The exact solutions to the Davey-Stewartson I equations are
constructed to describe the development of a transversal solitary
wave instability. Two types of plane dark
soliton decays into two-dimensional solitary waves are found and
analysed. It is also shown that the transversal instability of
one-dimensional waveguides leads only to
a shift of their drift velocity under the action of nonlocalized,
inhomogeneous perturbations.
Keywords:
DAVEY_STEWARTSON SYSTEM,
KADOMTSEV-PETVIASHVILI EQUATION, POSITIVE DISPERSION,
PERIODIC SOLITON, DIMENSION, RESONANCE