{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:FRYWTSHKAX6VQOSGEYRGIQNSXA","short_pith_number":"pith:FRYWTSHK","schema_version":"1.0","canonical_sha256":"2c7169c8ea05fd583a4626226441b2b80766d3536fd6a98f97a312f520ea8ca8","source":{"kind":"arxiv","id":"nlin/0303025","version":1},"attestation_state":"computed","paper":{"title":"Exact soliton solutions of coupled nonlinear Schr\\\"odinger equations: Shape changing collisions, logic gates and partially coherent solitons","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"M. Lakshmanan, T. Kanna","submitted_at":"2003-03-14T05:31:37Z","abstract_excerpt":"The novel dynamical features underlying soliton interactions in coupled nonlinear Schr{\\\"o}dinger equations, which model multimode wave propagation under varied physical situations in nonlinear optics, are studied. In this paper, by explicitly constructing multisoliton solutions (upto four-soliton solutions) for two coupled and arbitrary $N$-coupled nonlinear Schr{\\\"o}dinger equations using the Hirota bilinearization method, we bring out clearly the various features underlying the fascinating shape changing (intensity redistribution) collisions of solitons, including changes in amplitudes, pha"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"nlin/0303025","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-14T05:31:37Z","cross_cats_sorted":[],"title_canon_sha256":"480f3f27583d9a25d6290ee54ed920ed3f0106c6b540c81e66eedad7d14446d4","abstract_canon_sha256":"4e3308c5ae6cc70574a3b70091612c91dee73d5c320f355e28f92736c427e140"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:19.474915Z","signature_b64":"EKsQgQEWwZq9fbZLQCialMq3dYJiKgvBk3DK+3wIcTiAaTPAmoPajxPcLlF4DAI0Vp/pYVfM+Kbz2EeP2GsEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c7169c8ea05fd583a4626226441b2b80766d3536fd6a98f97a312f520ea8ca8","last_reissued_at":"2026-05-18T01:38:19.474204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:19.474204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact soliton solutions of coupled nonlinear Schr\\\"odinger equations: Shape changing collisions, logic gates and partially coherent solitons","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"M. Lakshmanan, T. Kanna","submitted_at":"2003-03-14T05:31:37Z","abstract_excerpt":"The novel dynamical features underlying soliton interactions in coupled nonlinear Schr{\\\"o}dinger equations, which model multimode wave propagation under varied physical situations in nonlinear optics, are studied. In this paper, by explicitly constructing multisoliton solutions (upto four-soliton solutions) for two coupled and arbitrary $N$-coupled nonlinear Schr{\\\"o}dinger equations using the Hirota bilinearization method, we bring out clearly the various features underlying the fascinating shape changing (intensity redistribution) collisions of solitons, including changes in amplitudes, pha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0303025","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0303025","created_at":"2026-05-18T01:38:19.474307+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0303025v1","created_at":"2026-05-18T01:38:19.474307+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0303025","created_at":"2026-05-18T01:38:19.474307+00:00"},{"alias_kind":"pith_short_12","alias_value":"FRYWTSHKAX6V","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"FRYWTSHKAX6VQOSG","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"FRYWTSHK","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA","json":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA.json","graph_json":"https://pith.science/api/pith-number/FRYWTSHKAX6VQOSGEYRGIQNSXA/graph.json","events_json":"https://pith.science/api/pith-number/FRYWTSHKAX6VQOSGEYRGIQNSXA/events.json","paper":"https://pith.science/paper/FRYWTSHK"},"agent_actions":{"view_html":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA","download_json":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA.json","view_paper":"https://pith.science/paper/FRYWTSHK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0303025&json=true","fetch_graph":"https://pith.science/api/pith-number/FRYWTSHKAX6VQOSGEYRGIQNSXA/graph.json","fetch_events":"https://pith.science/api/pith-number/FRYWTSHKAX6VQOSGEYRGIQNSXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA/action/storage_attestation","attest_author":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA/action/author_attestation","sign_citation":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA/action/citation_signature","submit_replication":"https://pith.science/pith/FRYWTSHKAX6VQOSGEYRGIQNSXA/action/replication_record"}},"created_at":"2026-05-18T01:38:19.474307+00:00","updated_at":"2026-05-18T01:38:19.474307+00:00"}