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000059102 084__ $$2WoS$$aPhysics, Fluids & Plasmas
000059102 084__ $$2WoS$$aPhysics, Mathematical
000059102 1001_ $$0P:(DE-HGF)0$$aBarashenkov, I. V.$$b0
000059102 245__ $$aInteractions of parametrically driven dark solitons. I. Néel-Néel and Bloch-Bloch interactions
000059102 260__ $$aCollege Park, Md.$$bAPS$$c2007
000059102 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2007-02-09
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000059102 440_0 $$04924$$aPhysical Review E$$v75$$x1539-3755
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000059102 520__ $$aWe 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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000059102 7001_ $$0P:(DE-Juel1)VDB70188$$aWoodford, S.R.$$b1$$uFZJ
000059102 7001_ $$0P:(DE-HGF)0$$aZemlyanaya, E. V.$$b2
000059102 77318 $$2Crossref$$3journal-article$$a10.1103/physreve.75.026604$$bAmerican Physical Society (APS)$$d2007-02-09$$n2$$p026604$$tPhysical Review E$$v75$$x1539-3755$$y2007
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000059102 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevE.75.026604
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