{"paper":{"title":"Solitary waves in the complementary generalized ABS model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.PS","authors_text":"Avadh Saxena, Avinash Khare, Fred Cooper, John F. Dawson","submitted_at":"2025-06-14T21:17:12Z","abstract_excerpt":"We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form $ \\Psi(x,t) =\\Phi(x) \\rme^{-\\rmi \\omega t}$ where the nonlinear interactions are a combination of vector-vector and scalar-scalar interactions with the interaction Lagrangian given by $L_I = \\frac{g^2}{(\\kappa+1)}[\\bar{\\psi} \\gamma_{\\mu}\\psi \\bar{\\psi} \\gamma^{\\mu} \\psi]^{(\\kappa+1)/2} - \\frac{g^2}{q(\\kappa+1)}(\\bar{\\psi} \\psi)^{\\kappa+1}$, where $\\kappa>0$ and $q>1$. This is the complement of the generalization of the ABS model \\cite{abs} that we recently studied \\cite{ak} and denoted as the gABS model. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.12631","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/2506.12631/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"}