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A surface wave propagate along the plasma-vacuum interface, when it is linearly weakly stable.\n  Following the approach of Ali and Hunter, we measure the amplitude of the surface wave by the normalized displacement of the interface in a reference frame moving with the linearized phase velocity of the wave, and obtain tha"},"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":"1512.08640","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-29T09:58:51Z","cross_cats_sorted":[],"title_canon_sha256":"c46699d0020c07dbfef0d84587d560114e8476853948d77c9801e62f74db9454","abstract_canon_sha256":"1b1b015d57efc7a96be23847e93a4e399db1bb77602271eef411ff8825e524ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:35.251123Z","signature_b64":"6c6So4veg0mEGDoTlB0jviVqypZWztBQI5A3ltx9BT6ut1qkDuL0mFND9DAwPD4QUI9aGnQNkOqsEpjA9BdLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"035f44152338c7dfea7dc540d6eb38812aa356d7005fcbc3ed1e9c51626b9ec6","last_reissued_at":"2026-05-18T01:23:35.250408Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:35.250408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear surface waves on the plasma-vacuum interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Paolo Secchi","submitted_at":"2015-12-29T09:58:51Z","abstract_excerpt":"In this paper we study the propagation of weakly nonlinear surface waves on a plasma-vacuum interface. 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