{"id":"https://openalex.org/W2061590801","doi":"https://doi.org/10.1137/08073281x","title":"Progressive Internal Waves of Permanent Form","display_name":"Progressive Internal Waves of Permanent Form","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2061590801","doi":"https://doi.org/10.1137/08073281x","mag":"2061590801"},"language":"en","primary_location":{"id":"doi:10.1137/08073281x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08073281x","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"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":"https://openalex.org/A5029355856","display_name":"John McHugh","orcid":"https://orcid.org/0000-0002-6730-1006"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"John McHugh","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029355856"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.292,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63856135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"70","issue":"4","first_page":"1017","last_page":"1031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.9957000017166138,"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/inviscid-flow","display_name":"Inviscid flow","score":0.8150615096092224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5579866766929626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5421387553215027},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5254684686660767},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5215213894844055},{"id":"https://openalex.org/keywords/internal-wave","display_name":"Internal wave","score":0.5010561943054199},{"id":"https://openalex.org/keywords/kondratiev-wave","display_name":"Kondratiev wave","score":0.4608646631240845},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4472365379333496},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.43904635310173035},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4354907274246216},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38996708393096924},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3675047755241394},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.351489782333374},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12131395936012268}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.8150615096092224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5579866766929626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5421387553215027},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5254684686660767},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5215213894844055},{"id":"https://openalex.org/C146864707","wikidata":"https://www.wikidata.org/wiki/Q382774","display_name":"Internal wave","level":2,"score":0.5010561943054199},{"id":"https://openalex.org/C171555571","wikidata":"https://www.wikidata.org/wiki/Q1088183","display_name":"Kondratiev wave","level":2,"score":0.4608646631240845},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4472365379333496},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.43904635310173035},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4354907274246216},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38996708393096924},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3675047755241394},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.351489782333374},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12131395936012268},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/08073281x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08073281x","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1999870478","https://openalex.org/W2020290230","https://openalex.org/W2051368762","https://openalex.org/W2057830530","https://openalex.org/W2077930242","https://openalex.org/W2087949278","https://openalex.org/W2123006215","https://openalex.org/W2200647941","https://openalex.org/W2279352150","https://openalex.org/W3046540472","https://openalex.org/W4253030297"],"related_works":["https://openalex.org/W1486213812","https://openalex.org/W2963995572","https://openalex.org/W2804509140","https://openalex.org/W1644877668","https://openalex.org/W1602020813","https://openalex.org/W274815926","https://openalex.org/W2035801105","https://openalex.org/W2304520747","https://openalex.org/W2048642527","https://openalex.org/W2099915791"],"abstract_inverted_index":{"Weakly":[0],"nonlinear":[1],"internal":[2],"waves":[3,16],"are":[4,17,30],"considered":[5],"in":[6,32,38],"a":[7,93],"non-Boussinesq":[8],"inviscid":[9],"incompressible":[10],"flow":[11],"using":[12],"Long's":[13],"equation.":[14],"The":[15,65,85],"bounded":[18],"on":[19,81],"the":[20,23,33,39,46,50,62,69,73,82,90],"top":[21],"and":[22,29],"bottom":[24],"by":[25],"horizontal":[26],"rigid":[27],"surfaces,":[28],"periodic":[31],"horizontal.":[34],"A":[35],"Laurent-type":[36],"expansion":[37,53],"wave":[40,83,87],"amplitude":[41],"is":[42],"chosen,":[43],"which":[44],"eliminates":[45],"problem":[47],"found":[48],"with":[49,59],"traditional":[51],"Taylor":[52],"of":[54,61,92],"progressively":[55],"faster":[56],"exponential":[57],"growth":[58],"altitude":[60],"higher":[63],"harmonics.":[64],"results":[66],"show":[67],"that":[68],"second-order":[70],"correction":[71],"to":[72],"wavespeed":[74],"can":[75],"be":[76],"positive":[77],"or":[78],"negative,":[79],"depending":[80],"parameters.":[84],"final":[86],"envelope":[88],"has":[89],"shape":[91],"saturated":[94],"wave.":[95]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}