{"paper":{"title":"Long-range interactions of kinks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"hep-th","authors_text":"A. Demirkaya, Ivan C. Christov, P. G. Kevrekidis, Robert J. Decker, R. V. Radomskiy, Vakhid A. Gani","submitted_at":"2018-10-08T17:32:34Z","abstract_excerpt":"We present a computational analysis of the long-range interactions of solitary waves in higher-order field theories. Our vehicle of choice is the $\\varphi^8$ field theory, although we explore similar issues in example $\\varphi^{10}$ and $\\varphi^{12}$ models. In particular, we discuss the fundamental differences between the latter higher-order models and the standard $\\varphi^4$ model. Upon establishing the power-law asymptotics of the model's solutions' approach towards one of the steady states, we make the case that such asymptotics require particular care in setting up multi-soliton initial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03590","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"}