{"paper":{"title":"A new $(\\gamma_n,\\sigma_k)-$ KP hierarchy and generalized dressing method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Yehui Huang, Yunbo Zeng, Yuqin Yao","submitted_at":"2012-08-22T04:55:08Z","abstract_excerpt":"A new (\\gamma_n,\\sigma_k)-KP hierarchy with two new time series \\gamma_n and \\sigma_k, which consists of \\gamma_n-flow, \\sigma_k-flow and mixed \\gamma_n and \\sigma_k evolution equations of eigenfunctions, is proposed. Two reductions and constrained flows of (\\gamma_n,\\sigma_k)-KP hierarchy are studied. The dressing method is generalized to the (\\gamma_n,\\sigma_k)-KP hierarchy and some solutions are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4422","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"}