{"paper":{"title":"Forced Nonlinear Schroedinger Equation with Arbitrary Nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Avadh Saxena, Avinash Khare, Franz G. Mertens, Fred Cooper, Niurka R. Quintero","submitted_at":"2011-11-26T04:49:01Z","abstract_excerpt":"We consider the nonlinear Schr{\\\"o}dinger equation (NLSE) in 1+1 dimension with scalar-scalar self interaction $\\frac{g^2}{\\kappa+1} (\\psi^\\star \\psi)^{\\kappa+1}$ in the presence of the external forcing terms of the form $r e^{-i(kx + \\theta)} -\\delta \\psi$. We find new exact solutions for this problem and show that the solitary wave momentum is conserved in a moving frame where $v_k=2 k$. These new exact solutions reduce to the constant phase solutions of the unforced problem when $r \\rightarrow 0.$\n  In particular we study the behavior of solitary wave solutions in the presence of these exte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6135","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"}