{"paper":{"title":"Interactions of Parametrically Driven Dark Solitons. I: N\\'eel-N\\'eel and Bloch-Bloch interactions","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"E.V. Zemlyanaya, I.V. Barashenkov, S.R. Woodford","submitted_at":"2006-12-27T10:14:02Z","abstract_excerpt":"We study interactions between the dark solitons of the parametrically driven nonlinear Schr\\\"odinger equation, Eq.(\\ref{NLS}). When the driving strength, $h$, is below $\\sqrt{\\gamma^2 +1/9}$, two well-separated N\\'eel 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 N\\'eel walls with $h$ lying between $\\sqrt{\\gamma^2 + 1/9}$ and a threshold driving strength $h_{sn}$ attract for $2z(0)<2z_u$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0612059","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}