PERTURBATION OF PARAMETRICALLY EXCITED SOLITARY WAVES

A direct perturbation analysis of solitary waves for a parametric Ginz burg Landau equation describing parametric excitation of waves in nonl inear dispersive and dissipative systems is presented. The method is u sed to study the influence on soliton dynamics of various perturbation s, including external fields, stochastic driving forces, higher-order effects, and soliton interactions. A remarkable and quite general resu lt of the analysis is that when the system is dissipative the dynamica l motion induced by the perturbation is counteracted by the dissipativ e term, making dissipative solitary waves less sensitive to perturbati ons than solitons in the conservative case.