{"paper":{"title":"Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Avadh Saxena, Avinash Khare, Bogdan Mihaila, Edward Arevalo, Franz G. Mertens, Fred Cooper, John F. Dawson, Niurka R. Quintero","submitted_at":"2017-07-05T20:41:18Z","abstract_excerpt":"We discuss the effect of small perturbation on nodeless solutions of the nonlinear \\Schrodinger\\ equation in 1+1 dimensions in an external complex potential derivable from a parity-time symmetric superpotential that was considered earlier [Phys.~Rev.~E 92, 042901 (2015)]. In particular we consider the nonlinear partial differential equation $\\{ \\, \\rmi \\, \\partial_t + \\partial_x^2 + g |\\psi(x,t)|^2 - V^{+}(x) \\, \\} \\, \\psi(x,t) = 0$, where $V^{+}(x) = \\qty( -b^2 - m^2 + 1/4 ) \\, \\sech^2(x) - 2 i \\, m \\, b \\, \\sech(x) \\, \\tanh(x)$ represents the complex potential. Here we study the perturbation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01574","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"}