{"id":"https://openalex.org/W4386055072","doi":"https://doi.org/10.1137/22m1488880","title":"Three-Wave Interaction Equations: Classical and Nonlocal","display_name":"Three-Wave Interaction Equations: Classical and Nonlocal","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386055072","doi":"https://doi.org/10.1137/22m1488880"},"language":"en","primary_location":{"id":"doi:10.1137/22m1488880","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1488880","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/A5039565111","display_name":"Mark J. Ablowitz","orcid":"https://orcid.org/0000-0001-5755-9217"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark J. Ablowitz","raw_affiliation_strings":["Department of Applied Mathematics, University of Colorado at Boulder, Boulder, CO 80309-0526 USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Colorado at Boulder, Boulder, CO 80309-0526 USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031360451","display_name":"Xu\u2010Dan Luo","orcid":"https://orcid.org/0000-0002-3833-5530"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210129227","display_name":"Chinese Academy of Agricultural Mechanization Sciences","ror":"https://ror.org/03792qf33","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210129227"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu-Dan Luo","raw_affiliation_strings":["Corresponding author. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I4210129227","https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027193458","display_name":"Ziad H. Musslimani","orcid":"https://orcid.org/0000-0002-5846-1219"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ziad H. Musslimani","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510 USA","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039565111"],"corresponding_institution_ids":["https://openalex.org/I188538660"],"apc_list":null,"apc_paid":null,"fwci":1.1432,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7641256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"55","issue":"4","first_page":"4089","last_page":"4139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998999834060669,"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":0.9998999834060669,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9991000294685364,"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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9936000108718872,"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/inverse-scattering-transform","display_name":"Inverse scattering transform","score":0.7349520325660706},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.716288149356842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6829798221588135},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.6531543731689453},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6151847243309021},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5695503354072571},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5117580890655518},{"id":"https://openalex.org/keywords/scattering-theory","display_name":"Scattering theory","score":0.49536406993865967},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.46153271198272705},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.42854446172714233},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.3277010917663574},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2900962829589844},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16516909003257751}],"concepts":[{"id":"https://openalex.org/C136628613","wikidata":"https://www.wikidata.org/wiki/Q17098188","display_name":"Inverse scattering transform","level":4,"score":0.7349520325660706},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.716288149356842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6829798221588135},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.6531543731689453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6151847243309021},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5695503354072571},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5117580890655518},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.49536406993865967},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.46153271198272705},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.42854446172714233},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3277010917663574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2900962829589844},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16516909003257751}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1488880","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1488880","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3575635338","display_name":null,"funder_award_id":"DMS-1712793","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3750624028","display_name":null,"funder_award_id":"12101590","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5349346953","display_name":null,"funder_award_id":"DMS-2005343","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W149201185","https://openalex.org/W178910666","https://openalex.org/W632440066","https://openalex.org/W649794155","https://openalex.org/W1520582556","https://openalex.org/W1631607997","https://openalex.org/W1993232980","https://openalex.org/W1996758787","https://openalex.org/W2009393115","https://openalex.org/W2030669316","https://openalex.org/W2044469892","https://openalex.org/W2048840233","https://openalex.org/W2050639649","https://openalex.org/W2056101558","https://openalex.org/W2064039912","https://openalex.org/W2064194360","https://openalex.org/W2067123857","https://openalex.org/W2071618047","https://openalex.org/W2083960709","https://openalex.org/W2089996117","https://openalex.org/W2100625455","https://openalex.org/W2104369108","https://openalex.org/W2109263391","https://openalex.org/W2118575947","https://openalex.org/W2122660340","https://openalex.org/W2131895465","https://openalex.org/W2137026826","https://openalex.org/W2143543015","https://openalex.org/W2146692226","https://openalex.org/W2152188261","https://openalex.org/W2274890641","https://openalex.org/W2304581630","https://openalex.org/W2314520473","https://openalex.org/W2521308483","https://openalex.org/W2531289303","https://openalex.org/W2538976595","https://openalex.org/W2558464765","https://openalex.org/W2922227845","https://openalex.org/W2960163797","https://openalex.org/W3105582853","https://openalex.org/W3106014540","https://openalex.org/W4230176078","https://openalex.org/W4365514639"],"related_works":["https://openalex.org/W3021198312","https://openalex.org/W2886182558","https://openalex.org/W2269313447","https://openalex.org/W143225781","https://openalex.org/W2153097672","https://openalex.org/W2468887638","https://openalex.org/W18924785","https://openalex.org/W2800911114","https://openalex.org/W2959198877","https://openalex.org/W3023541764"],"abstract_inverted_index":{".A":[0],"discussion":[1],"of":[2,103,140],"three-wave":[3,19,23,55,135],"interaction":[4,20,56],"systems":[5,31],"with":[6,148],"rapidly":[7],"decaying":[8],"data":[9],"is":[10,47,100],"provided.":[11],"Included":[12],"are":[13,25,33,91,117,137],"the":[14,63,70,98,101,108,120],"classical":[15,132],"and":[16,32,61,80,130,133],"two":[17],"nonlocal":[18,134],"systems.":[21],"These":[22],"equations":[24],"formulated":[26],"from":[27],"underlying":[28],"compatible":[29,126],"linear":[30,39],"connected":[34],"to":[35,113],"a":[36],"third":[37,109],"order":[38,110],"scattering":[40,44,65,72,78,111,151],"problem.":[41],"The":[42,124],"inverse":[43,71],"transform":[45],"(IST)":[46],"carried":[48],"out":[49],"in":[50,97,119],"detail":[51],"for":[52],"all":[53],"these":[54],"equations.":[57],"This":[58],"entails":[59],"obtaining":[60],"analyzing":[62],"direct":[64],"problem,":[66],"discrete":[67],"eigenvalues,":[68],"symmetries,":[69],"problem":[73,112],"via":[74],"Riemann\u2013Hilbert":[75],"methods,":[76],"minimal":[77],"data,":[79],"time":[81],"dependence.":[82],"In":[83],"addition,":[84],"soliton":[85],"solutions":[86],"illustrating":[87],"energy":[88],"sharing":[89],"mechanisms":[90],"also":[92],"discussed.":[93],"A":[94],"crucial":[95],"step":[96],"analysis":[99],"use":[102],"adjoint":[104],"eigenfunctions":[105,115],"which":[106],"connects":[107],"key":[114],"that":[116],"analytic":[118],"upper/lower":[121],"half":[122],"planes.":[123],"general":[125],"nonlinear":[127,143],"wave":[128],"system":[129],"its":[131],"reductions":[136],"asymptotic":[138],"limits":[139],"physically":[141],"significant":[142],"equations,":[144],"including":[145],"water/gravity":[146],"waves":[147],"surface":[149],"tension.Keywordsinverse":[150],"transformRiemann\u2013Hilbert":[152],"problemsthree-wave":[153],"systemssolitonsMSC":[154],"codes35Q1535Q5137K1537K40":[155]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}