{"paper":{"title":"Solitons Riding on Solitons: Hypersolitons and the Quantum Newton's Cradle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"nlin.PS","authors_text":"Manjun Ma, R. Carretero-Gonzalez, R. Navarro","submitted_at":"2015-06-23T22:49:18Z","abstract_excerpt":"The reduced dynamics for dark and bright soliton chains in the one-dimensional nonlinear Schr\\\"odinger equation is used to study the behavior of collective compression waves. For appropriate conditions, the reduced dynamics derived from perturbation and variational techniques allows to describe a chain of dark or bright solitons as a chain of effective masses connected by nonlinear springs taking the form of a Toda lattice model on the soliton's positions. In turn, the Toda lattice possesses exact solitary travelling compression wave solutions corresponding to travelling compression waves in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07210","kind":"arxiv","version":1},"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"}