{"paper":{"title":"Non-Homogeneous Hydrodynamic Systems and Quasi-St\\\"ackel Hamiltonians","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Krzysztof Marciniak, Maciej Blaszak","submitted_at":"2017-06-09T09:32:27Z","abstract_excerpt":"In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-St\\\"ackel systems, that is non-commutatively integrable systems constructed from appropriate maximally superintegrable St\\\"ackel systems. We describe the relations between Poisson algebras generated by quasi-St\\\"ackel Hamiltonians and the corresponding Lie algebras of vector fields of non-homogeneous hydrodynamic systems. We also apply St\\\"ackel transform to obtain new non-homogeneous equations of considered type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02873","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"}