Interactions of parametrically driven dark solitons. I. Néel-Néel and Bloch-Bloch interactions

Barashenkov, I. V.; Zemlyanaya, E. V.; Woodford, S.R.

doi:10.1103/PhysRevE.75.026604

Journal Article

PreJuSER-59102

Interactions of parametrically driven dark solitons. I. Néel-Néel and Bloch-Bloch interactions

Barashenkov, I. V. ; Woodford, S. R.FZJ* ; Zemlyanaya, E. V.

2007
APS College Park, Md.

Physical review / E 75(2), 026604 (2007) [10.1103/PhysRevE.75.026604]

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Please use a persistent id in citations: http://hdl.handle.net/2128/9237 doi:10.1103/PhysRevE.75.026604

Abstract: We study interactions between the dark solitons of the parametrically driven nonlinear Schrodinger equation, Eq. (1). When the driving strength, h, is below root gamma(2)+1/9, two well-separated Neel walls may repel or attract. They repel if their initial separation 2z(0) is larger than the distance 2z(u) between the constituents in the unstable stationary complex of two walls. They attract and annihilate if 2z(0) is smaller than 2z(u). Two Neel walls with h lying between root gamma(2)+1/9 and a threshold driving strength h(sn) attract for 2z(0)< 2z(u) and evolve into a stable stationary bound state for 2z(0)> 2z(u). Finally, the Neel walls with h greater than h(sn) attract and annihilate-irrespective of their initial separation. Two Bloch walls of opposite chiralities attract, while Bloch walls of like chiralities repel-except near the critical driving strength, where the difference between the like-handed and oppositely handed walls becomes negligible. In this limit, similarly handed walls at large separations repel while those placed at shorter distances may start moving in the same direction or transmute into an oppositely handed pair and attract. The collision of two Bloch walls or two nondissipative Neel walls typically produces a quiescent or moving breather.

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