{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:W6RTJGIKGPRPRJAYTJBMPEQ5NO","short_pith_number":"pith:W6RTJGIK","schema_version":"1.0","canonical_sha256":"b7a334990a33e2f8a4189a42c7921d6b97605b93feb6020e1e64d5a21a6fd238","source":{"kind":"arxiv","id":"1812.02260","version":2},"attestation_state":"computed","paper":{"title":"Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"B. A. Malomed, L. A. Cisneros-Ake, P. G. Kevrekidis, R. Carretero-Gonzalez","submitted_at":"2018-12-05T22:38:40Z","abstract_excerpt":"We consider the dynamics and stability of bright soliton stripes in the two-dimensional nonlinear Schr\\\"odinger equation with hyperbolic dispersion, under the action of transverse perturbations. We start by discussing a recently proposed adiabatic-invariant approximation for transverse instabilities and its limitations in the bright soliton case. We then focus on a variational approximation used to reduce the dynamics of the bright-soliton stripe to effective equations of motion for its transverse shift. The reduction allows us to address the stripe's snaking instability, which is inherently p"},"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":"1812.02260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-12-05T22:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"7b060306cece64aed8eb41fef3d685f4fe00168e8d3b7b5fde5598b1079897de","abstract_canon_sha256":"ecae6aee500ac6e7272d59e099b4030085492947f36f90497319e3d0a174071f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:27.247172Z","signature_b64":"WKsCi2Mz5KVr6hY7vSBojcApMzOqLLb3CsD92xXnWcEvJ3z5m6ZjA+Demi2zy1MiIWFhYyQawrly7p5G69ZiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7a334990a33e2f8a4189a42c7921d6b97605b93feb6020e1e64d5a21a6fd238","last_reissued_at":"2026-05-17T23:47:27.246705Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:27.246705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"B. A. Malomed, L. A. Cisneros-Ake, P. G. Kevrekidis, R. Carretero-Gonzalez","submitted_at":"2018-12-05T22:38:40Z","abstract_excerpt":"We consider the dynamics and stability of bright soliton stripes in the two-dimensional nonlinear Schr\\\"odinger equation with hyperbolic dispersion, under the action of transverse perturbations. We start by discussing a recently proposed adiabatic-invariant approximation for transverse instabilities and its limitations in the bright soliton case. We then focus on a variational approximation used to reduce the dynamics of the bright-soliton stripe to effective equations of motion for its transverse shift. The reduction allows us to address the stripe's snaking instability, which is inherently p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02260","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.02260","created_at":"2026-05-17T23:47:27.246777+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.02260v2","created_at":"2026-05-17T23:47:27.246777+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02260","created_at":"2026-05-17T23:47:27.246777+00:00"},{"alias_kind":"pith_short_12","alias_value":"W6RTJGIKGPRP","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"W6RTJGIKGPRPRJAY","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"W6RTJGIK","created_at":"2026-05-18T12:32:59.047623+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/W6RTJGIKGPRPRJAYTJBMPEQ5NO","json":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO.json","graph_json":"https://pith.science/api/pith-number/W6RTJGIKGPRPRJAYTJBMPEQ5NO/graph.json","events_json":"https://pith.science/api/pith-number/W6RTJGIKGPRPRJAYTJBMPEQ5NO/events.json","paper":"https://pith.science/paper/W6RTJGIK"},"agent_actions":{"view_html":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO","download_json":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO.json","view_paper":"https://pith.science/paper/W6RTJGIK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.02260&json=true","fetch_graph":"https://pith.science/api/pith-number/W6RTJGIKGPRPRJAYTJBMPEQ5NO/graph.json","fetch_events":"https://pith.science/api/pith-number/W6RTJGIKGPRPRJAYTJBMPEQ5NO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO/action/storage_attestation","attest_author":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO/action/author_attestation","sign_citation":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO/action/citation_signature","submit_replication":"https://pith.science/pith/W6RTJGIKGPRPRJAYTJBMPEQ5NO/action/replication_record"}},"created_at":"2026-05-17T23:47:27.246777+00:00","updated_at":"2026-05-17T23:47:27.246777+00:00"}