{"paper":{"title":"Approximate Analytic Solutions to Coupled Nonlinear Dirac Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Avadh Saxena, Avinash Khare, Fred Cooper","submitted_at":"2016-03-25T21:54:45Z","abstract_excerpt":"We consider the coupled nonlinear Dirac equations (NLDE's) in 1+1 dimensions with scalar-scalar self interactions $\\frac{ g_1^2}{2} ( {\\bpsi} \\psi)^2 + \\frac{ g_2^2}{2} ( {\\bphi} \\phi)^2 + g_3^2 ({\\bpsi} \\psi) ( {\\bphi} \\phi)$ as well as vector-vector interactions of the form $\\frac{g_1^2 }{2} (\\bpsi \\gamma_{\\mu} \\psi)(\\bpsi \\gamma^{\\mu} \\psi)+ \\frac{g_2^2 }{2} (\\bphi \\gamma_{\\mu} \\phi)(\\bphi \\gamma^{\\mu} \\phi) + g_3^2 (\\bpsi \\gamma_{\\mu} \\psi)(\\bphi \\gamma^{\\mu} \\phi ). $ Writing the two components of the assumed solitary wave solution of these equations in the form $\\psi = e^{-i \\omega_1 t} "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08043","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"}