Evolution of the compound Gardnerequation soliton in the media with variable parameters
Abstract
Nonquasistationary evolution of the nearly limiting Gardnerequation solitons, which is caused by the variable parameters of the medium is considered. The proposed approximate description of such a process is based on representing the Gardnerequation solitons as compound formations formed by differentpolarity kinks. The equations describing evolution of both the field drops in the kinks and the slowly varying (compared with the drops) fields connecting the kinks are derived. The problem of the soliton evolution in the case of a linear (in time) change of the cubic nonlinearity coefficient of the Gardner equation is solved analytically. The obtained approximate solution is compared with the results of the previous direct numerical integration of this problem.
 Publication:

Radiophysics and Quantum Electronics
 Pub Date:
 October 2012
 DOI:
 10.1007/s1114101293731
 Bibcode:
 2012R&QE...55..344G