{"paper":{"title":"Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Andrew Comech, Avadh Saxena, Avinash Khare, Bogdan Mihaila, Edward Arevalo, Fred Cooper, John F. Dawson, Ruomeng Lan","submitted_at":"2017-05-20T03:06:16Z","abstract_excerpt":"We discuss the stability properties of the solutions of the general nonlinear \\Schrodinger\\ equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time ($\\PT$) symmetric superpotential $W(x)$ that we considered earlier \\cite{PhysRevE.92.042901}. In particular we consider the nonlinear partial differential equation $ \\{\n  i \\,\n  \\partial_t\n  +\n  \\partial_x^2\n  -\n  V(x)\n  + g\n  | \\psi(x,t) |^{2\\kappa}\n  \\} \\, \\psi(x,t)\n  =\n  0 \\>, $ for arbitrary nonlinearity parameter $\\kappa$, where $g= \\pm1$ and $V$ is the well known P{\\\"o}schl-Teller potential which we allow to be"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07253","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"}