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Under some assumptions on $f$, this equation admits \\emph{solitary waves}, that is solutions of the form $u(t, x) = Q_v(x - vt - x_0)$, for $v$ in some range $(0, v_*)$. We study pure two-solitons in the case of the same limit speed, in other words global solutions $u(t)$ such that \\begin{equation} \\label{eq:abstract} \\tag{$\\ast$} \\lim_{t\\to\\infty}\\|u(t) - (Q_v(\\cdot - x_1(t)) \\pm Q_v(\\cdot - x_2(t)))\\|_{H^1} = 0, \\qquad \\text{with}\\quad\\li","authors_text":"Jacek Jendrej","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-17T21:13:40Z","title":"Dynamics of strongly interacting unstable two-solitons for generalized Korteweg-de Vries equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06294","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a6df90379489dad7760808ae944d1c70c5bee76c5edb14ae535d7d7f7508e4fd","target":"record","created_at":"2026-07-05T07:59:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a01b7908089cc622567e7d90525c7b9a343bf7ffeaf0ec507834b3d0a420d541","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-17T21:13:40Z","title_canon_sha256":"9725b956b047b65145352b97b89d70ef196f4be25e3ac2293536c9a0ecfa831d"},"schema_version":"1.0","source":{"id":"1802.06294","kind":"arxiv","version":2}},"canonical_sha256":"a0e6342d691cf00a51e1f18dde3800869deba8599993e70518e24a64db0a9cf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0e6342d691cf00a51e1f18dde3800869deba8599993e70518e24a64db0a9cf8","first_computed_at":"2026-07-05T07:59:11.910614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:11.910614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4pEmy6kXX4+8h61mamGG4GPdWRmR233gqZT00roI57EYrnP8dNaUY2kkpK0k5S21jEoyJPcO+s9/Wbzp9X4Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:11.911091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.06294","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6df90379489dad7760808ae944d1c70c5bee76c5edb14ae535d7d7f7508e4fd","sha256:9c3ff629291284752bbfb222d25bb25d2d5cf09a731e5292287fcd8528b7dce5"],"state_sha256":"7d4a995740927482bcec7ac4782e41f96d6948e2b82afa6bea53e1269727c205"}