{"id":"https://openalex.org/W2140968478","doi":"https://doi.org/10.1137/s0036141004444202","title":"Corrections to the KdV Approximation for Water Waves","display_name":"Corrections to the KdV Approximation for Water Waves","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2140968478","doi":"https://doi.org/10.1137/s0036141004444202","mag":"2140968478"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141004444202","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141004444202","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5017084784","display_name":"James Wright","orcid":"https://orcid.org/0009-0008-3205-8916"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. Douglas Wright","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017084784"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6579,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.945576,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"37","issue":"4","first_page":"1161","last_page":"1206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9998000264167786,"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":0.9998000264167786,"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/T10647","display_name":"Coastal and Marine Dynamics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"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/T11250","display_name":"Wave and Wind Energy Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.9447475075721741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7770980596542358},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5341151356697083},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.48874545097351074},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4535948634147644},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19627439975738525},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17337021231651306},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07329434156417847}],"concepts":[{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.9447475075721741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7770980596542358},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5341151356697083},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.48874545097351074},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4535948634147644},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19627439975738525},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17337021231651306},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07329434156417847}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036141004444202","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141004444202","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.236.9197","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.9197","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0406403v2.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1427593441","https://openalex.org/W1505305988","https://openalex.org/W1508205267","https://openalex.org/W1608561939","https://openalex.org/W1624314306","https://openalex.org/W1949458130","https://openalex.org/W1967930895","https://openalex.org/W1973386106","https://openalex.org/W1983210113","https://openalex.org/W1984058100","https://openalex.org/W1985822072","https://openalex.org/W1991739271","https://openalex.org/W1992140657","https://openalex.org/W1996795376","https://openalex.org/W2000817986","https://openalex.org/W2005370374","https://openalex.org/W2007431505","https://openalex.org/W2012977752","https://openalex.org/W2019132011","https://openalex.org/W2021247337","https://openalex.org/W2021344134","https://openalex.org/W2027595215","https://openalex.org/W2033104118","https://openalex.org/W2038453317","https://openalex.org/W2050484687","https://openalex.org/W2057903005","https://openalex.org/W2062477930","https://openalex.org/W2070585813","https://openalex.org/W2073085413","https://openalex.org/W2079078924","https://openalex.org/W2087327713","https://openalex.org/W2095136890","https://openalex.org/W2105770364","https://openalex.org/W2108092007","https://openalex.org/W2128143371","https://openalex.org/W2134640173","https://openalex.org/W2137598555","https://openalex.org/W2148168383","https://openalex.org/W2170019858","https://openalex.org/W2916835505","https://openalex.org/W4206096665"],"related_works":["https://openalex.org/W2027202866","https://openalex.org/W3149920197","https://openalex.org/W4293569346","https://openalex.org/W2397056152","https://openalex.org/W2949885877","https://openalex.org/W4252904065","https://openalex.org/W2734496778","https://openalex.org/W2494658963","https://openalex.org/W3017235236","https://openalex.org/W2129544565"],"abstract_inverted_index":{"In":[0],"order":[1],"to":[2,5,39],"investigate":[3],"corrections":[4,38],"the":[6,22,40,75],"common":[7],"KdV":[8,41,48,76],"approximation":[9,42,73],"for":[10,21],"surface":[11],"water":[12],"waves":[13],"in":[14,31],"a":[15,70],"canal,":[16],"we":[17,61],"derive":[18],"modulation":[19],"equations":[20,35,49,56],"evolution":[23],"of":[24,44],"long":[25],"wavelength":[26],"initial":[27],"data.":[28],"We":[29],"work":[30],"Lagrangian":[32],"coordinates.":[33],"The":[34],"which":[36],"govern":[37],"consist":[43],"linearized":[45],"and":[46,60],"inhomogeneous":[47,52],"plus":[50],"an":[51],"wave":[53],"equation.":[54],"These":[55],"are":[57],"explicitly":[58],"solvable":[59],"prove":[62],"estimates":[63],"showing":[64],"that":[65],"they":[66],"do":[67],"indeed":[68],"give":[69],"significantly":[71],"better":[72],"than":[74],"equation":[77],"alone.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
