Interactions of Parametrically Driven Dark Solitons. II: N\'eel-Bloch interactions
Pattern Formation and Solitons
2007-05-23 v1
Abstract
The interaction between a Bloch and a N\'eel wall in the parametrically driven nonlinear Schr\"odinger equation is studied by following the dissociation of their unstable bound state. Mathematically, the analysis focusses on the splitting of a four-fold zero eigenvalue associated with a pair of infinitely separated Bloch and N\'eel walls. It is shown that a Bloch and a N\'eel wall interact as two classical particles, one with positive and the other one with negative mass.
Cite
@article{arxiv.nlin/0701005,
title = {Interactions of Parametrically Driven Dark Solitons. II: N\'eel-Bloch interactions},
author = {I. V. Barashenkov and S. R. Woodford},
journal= {arXiv preprint arXiv:nlin/0701005},
year = {2007}
}
Comments
33 pages, 6 figures. To appear in Phys Rev E