{"paper":{"title":"On the solvability of the discrete nonlinear Schrodinger equation with subcubic potential","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Daniel Maroncelli","submitted_at":"2026-05-27T22:15:42Z","abstract_excerpt":"In this paper, we analyze the solvability of the discrete nonlinear Schr\\\"odinger equation \\begin{equation*} i\\beta(\\Delta_t+\\nabla_t)\\phi(t,k) +\\gamma |\\phi(t,k)|^2\\phi(t,k) +\\varepsilon \\Delta_k^2\\phi(t,k-1) = g(t,\\phi(t,k)), \\end{equation*} where $\\Delta_t$ and $\\Delta_k$ denote the standard forward difference operators in the variables $t$ and $k$, respectively, $\\nabla_t$ denotes the standard backward difference operator in $t$, and \\begin{equation*} \\Delta_k^2\\phi(t,k-1) = \\phi(t,k+1)-2\\phi(t,k)+\\phi(t,k-1) \\end{equation*} is the discrete Laplacian operator in the spatial variable $k$. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29145","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.29145/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"}