Interactions of Parametrically Driven Dark Solitons. II: Néel-Bloch interactions

Details Interactions of Parametrically Driven Dark Solitons. II: Néel-Bloch interactions Interactions of Parametrically Driven Dark Solitons. II: Néel-Bloch interactions

2006-12-30

arxiv.org/abs/nlin/0701005v1

Nonlinear Sciences

Pattern Formation and Solitons

33 pages, 6 figures. To appear in Phys Rev E

Scientific paper

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.

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