{"paper":{"title":"Periodic Solutions and Rogue Wave Type Extended Compactons in the Nonlinear Schrodinger Equation and \\phi^{4} Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP"],"primary_cat":"math-ph","authors_text":"Daniel Cole, Patrick Johnson, Zohar Nussinov","submitted_at":"2010-08-03T17:54:25Z","abstract_excerpt":"By employing a mapping to classical anharmonic oscillators, we explore a class of solutions to the Nonlinear Schrodinger Equation (NLSE) in 1+1 dimensions and, by extension, asymptotically in general dimensions. We discuss a possible way for creating approximate rogue wave like solutions to the NLSE by truncating exact solutions at their nodes and stitching them with other solutions to the NLSE. The resulting waves are similar to compactons with the notable difference that they are not localized but rather extend over all of space. We discuss rogue waves in a \\phi^4 field theory in the context"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1539","kind":"arxiv","version":2},"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"}