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

I. V. Barashenkov; S. R. Woodford

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arXiv · nlin/0701005

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

I. V. Barashenkov·S. R. Woodford

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Abstract

The interaction between a Bloch and a Néel wall in the parametrically driven nonlinear Schrödinger 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 Néel walls. It is shown that a Bloch and a Néel wall interact as two classical particles, one with positive and the other one with negative mass.

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I. V. Barashenkov, S. R. Woodford. 2006-12-30. Interactions of Parametrically Driven Dark Solitons. II: Néel-Bloch interactions. https://arxiv.org/abs/nlin/0701005

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