{"id":"https://openalex.org/W4396616380","doi":"https://doi.org/10.1137/23m1607209","title":"On Long Waves and Solitons in Particle Lattices with Forces of Infinite Range","display_name":"On Long Waves and Solitons in Particle Lattices with Forces of Infinite Range","publication_year":2024,"publication_date":"2024-05-03","ids":{"openalex":"https://openalex.org/W4396616380","doi":"https://doi.org/10.1137/23m1607209"},"language":"en","primary_location":{"id":"doi:10.1137/23m1607209","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1607209","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/A5084887733","display_name":"Benjamin Ingimarson","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Ingimarson","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013346577","display_name":"Robert L. Pego","orcid":"https://orcid.org/0000-0001-8502-2820"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert L. Pego","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA"],"raw_orcid":"https://orcid.org/0000-0001-8502-2820","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":1.9928,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85854733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"84","issue":"3","first_page":"808","last_page":"830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9990000128746033,"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":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.6774279475212097},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5749539732933044},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.499661922454834},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4951602518558502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36395061016082764},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.13798877596855164},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.11619633436203003}],"concepts":[{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.6774279475212097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5749539732933044},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.499661922454834},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4951602518558502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36395061016082764},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.13798877596855164},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.11619633436203003},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1607209","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1607209","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":[],"awards":[{"id":"https://openalex.org/G4715145111","display_name":"Collaborative Research: Dynamics, singularities, and variational structure in models of fluids and clustering","funder_award_id":"2106534","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W627954411","https://openalex.org/W1557670397","https://openalex.org/W1593887959","https://openalex.org/W1767317878","https://openalex.org/W1922431368","https://openalex.org/W1970766718","https://openalex.org/W1974624531","https://openalex.org/W1986802689","https://openalex.org/W2003485783","https://openalex.org/W2011023754","https://openalex.org/W2014051238","https://openalex.org/W2019132011","https://openalex.org/W2020963444","https://openalex.org/W2024654356","https://openalex.org/W2030186733","https://openalex.org/W2032667778","https://openalex.org/W2050639649","https://openalex.org/W2052019459","https://openalex.org/W2057150679","https://openalex.org/W2066458678","https://openalex.org/W2067175118","https://openalex.org/W2070585813","https://openalex.org/W2074128339","https://openalex.org/W2092085391","https://openalex.org/W2106226212","https://openalex.org/W2143538834","https://openalex.org/W2161613033","https://openalex.org/W2785639097","https://openalex.org/W2946677105","https://openalex.org/W3081269784","https://openalex.org/W3089116201","https://openalex.org/W3098009739","https://openalex.org/W3099800840","https://openalex.org/W3100067235","https://openalex.org/W3101029735","https://openalex.org/W3101165371","https://openalex.org/W3102821052","https://openalex.org/W3135720707","https://openalex.org/W4220796540","https://openalex.org/W4298029373"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049"],"abstract_inverted_index":{".We":[0],"study":[1],"waves":[2,49],"on":[3],"infinite":[4,84],"one-dimensional":[5],"lattices":[6,52],"of":[7,41],"particles":[8],"that":[9,74,91],"each":[10],"interact":[11],"with":[12,63],"all":[13],"others":[14],"through":[15],"power-law":[16],"forces":[17],"\\(F":[18],"\\sim":[19],"r^{-\\beta":[20],"}\\).":[21],"The":[22,43],"inverse-cube":[23],"case":[24],"corresponds":[25],"to":[26,33,76],"Calogero\u2013Moser":[27,85],"systems":[28],"which":[29],"are":[30],"well":[31],"known":[32],"be":[34],"completely":[35],"integrable":[36],"for":[37,47,80],"any":[38],"finite":[39],"number":[40],"particles.":[42],"formal":[44],"long-wave":[45],"limit":[46],"unidirectional":[48],"in":[50],"these":[51],"is":[53,69],"the":[54,77,83],"Korteweg\u2013de":[55],"Vries":[56],"equation":[57,79],"if":[58],"\\(\\beta":[59],"\\gt":[60],"4\\),":[61],"but":[62],"\\(2\\lt":[64],"\\beta":[65],"\\lt":[66],"4\\)":[67],"it":[68],"a":[70],"nonlocal":[71],"dispersive":[72],"PDE":[73],"reduces":[75],"Benjamin\u2013Ono":[78],"\\(\\beta=3\\).":[81],"For":[82],"lattice,":[86],"we":[87],"find":[88],"explicit":[89],"formulas":[90],"describe":[92],"solitary":[93],"and":[94],"periodic":[95],"traveling":[96],"waves.KeywordsKdV":[97],"limitCalogero\u2013Sutherland":[98],"systemsB\u00e4cklund":[99],"transformMSC":[100],"codes37K6037K4070F4535Q51":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}