{"id":"https://openalex.org/W4405756495","doi":"https://doi.org/10.1134/s0965542524701549","title":"On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes\u2019 Second Method","display_name":"On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes\u2019 Second Method","publication_year":2024,"publication_date":"2024-11-01","ids":{"openalex":"https://openalex.org/W4405756495","doi":"https://doi.org/10.1134/s0965542524701549"},"language":"en","primary_location":{"id":"doi:10.1134/s0965542524701549","doi":"https://doi.org/10.1134/s0965542524701549","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0965542524701549","pdf_url":null,"source":{"id":"https://openalex.org/S149956803","display_name":"Computational Mathematics and Mathematical Physics","issn_l":"0965-5425","issn":["0965-5425","1555-6662"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Mathematics and Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"A. I. Rudenko","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86496825","display_name":"Kaliningrad State Technical University","ror":"https://ror.org/023mnb461","country_code":"RU","type":"education","lineage":["https://openalex.org/I86496825"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. I. Rudenko","raw_affiliation_strings":["Kaliningrad State Technical University, 236022, Kaliningrad, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kaliningrad State Technical University, 236022, Kaliningrad, Russia","institution_ids":["https://openalex.org/I86496825"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86496825"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15432281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"11","first_page":"2655","last_page":"2665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.010099999606609344,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.0032999999821186066,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/standing-waves","display_name":"standing waves","score":0.8600000143051147},{"id":"https://openalex.org/keywords/finite-depth-fluid","display_name":"finite depth fluid","score":0.8289999961853027},{"id":"https://openalex.org/keywords/incompressible-inviscid-fluid","display_name":"ideal incompressible fluid","score":0.8450000286102295},{"id":"https://openalex.org/keywords/integro-differential-equations","display_name":"integro-differential equations","score":0.699999988079071},{"id":"https://openalex.org/keywords/kerr-nonlinearity","display_name":"Kerr nonlinearity","score":0.9819999933242798},{"id":"https://openalex.org/keywords/wave-profile","display_name":"wave profile","score":0.7480000257492065},{"id":"https://openalex.org/keywords/water-waves","display_name":"water waves","score":0.4580000042915344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7895582318305969},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6639239192008972},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5667277574539185},{"id":"https://openalex.org/C52220454","wikidata":"https://www.wikidata.org/wiki/Q613845","display_name":"Perfect fluid","level":2,"score":0.5366449356079102},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44103649258613586},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36081892251968384},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3596333861351013},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.10271230340003967},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0965542524701549","doi":"https://doi.org/10.1134/s0965542524701549","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0965542524701549","pdf_url":null,"source":{"id":"https://openalex.org/S149956803","display_name":"Computational Mathematics and Mathematical Physics","issn_l":"0965-5425","issn":["0965-5425","1555-6662"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Mathematics and Mathematical Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1973874805","https://openalex.org/W1998111725","https://openalex.org/W2042724927","https://openalex.org/W2083420597","https://openalex.org/W2134536827","https://openalex.org/W2137942934","https://openalex.org/W2141590717","https://openalex.org/W2168062292","https://openalex.org/W2327811243","https://openalex.org/W3015609203","https://openalex.org/W6633241978","https://openalex.org/W6695047290"],"related_works":["https://openalex.org/W1726946999","https://openalex.org/W2590472383","https://openalex.org/W2383873009","https://openalex.org/W2393580911","https://openalex.org/W2212184297","https://openalex.org/W3156456913","https://openalex.org/W2390945180","https://openalex.org/W2394052932","https://openalex.org/W2350360626","https://openalex.org/W2372265507"],"abstract_inverted_index":{"Abstract":[0],"The":[1,21,71],"classical":[2],"problem":[3,26,64],"of":[4,10,16,51,58],"stationary":[5,53],"waves":[6],"on":[7,55],"the":[8,25,35,40,49,56,59,62,77],"surface":[9,57],"an":[11],"ideal":[12],"incompressible":[13],"homogeneous":[14],"fluid":[15],"finite":[17],"depth":[18],"is":[19,27,65,73],"considered.":[20],"solution":[22,72],"approach":[23],"to":[24,29,39,67,76],"related":[28],"Stokes\u2019":[30],"second":[31],"method,":[32],"but":[33],"has":[34],"following":[36],"differences:":[37],"due":[38],"one-dimensional":[41,69],"integro-differential":[42],"equation":[43],"with":[44],"cubic":[45],"nonlinearity":[46],"obtained":[47,74],"for":[48],"profile":[50],"a":[52,68],"wave":[54],"finite-depth":[60],"fluid,":[61],"original":[63],"reduced":[66],"one.":[70],"up":[75],"seventh":[78],"approximation.":[79]},"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}