{"paper":{"title":"Hypergeometric tau functions $\\tau({\\bf t},T,{\\bf t}^*)$ as $\\infty$-soliton tau function in T variables","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. Yu. Orlov","submitted_at":"2003-04-30T20:06:01Z","abstract_excerpt":"We consider KP tau function of hypergeometric type $\\tau({\\bf t},T,{\\bf t}^*)$, where the set ${\\bf t}$ is the KP higher times and $T,{\\bf t}^*$ are sets of parameters. Fixing ${\\bf t}^*$, we find that $\\tau({\\bf t},T,{\\bf t}^*)$ is an infinite-soliton solution of different (dual) multi-component KP (and TL) hierarchy, where the roles of the variables ${\\bf t}$ and $T$ are interchanged. When $\\tau({\\bf t},T,{\\bf t}^*)$ is a polynomial in ${\\bf t}$, we obtain a $N$-soliton solution of the dual hierarchy. Parameters of the solitons are related to the Frobenius coordinates of partitions in the Sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0305001","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/nlin/0305001/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}