{"id":"https://openalex.org/W2229864936","doi":"https://doi.org/10.1137/15m1046836","title":"Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity","display_name":"Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2229864936","doi":"https://doi.org/10.1137/15m1046836","mag":"2229864936"},"language":"en","primary_location":{"id":"doi:10.1137/15m1046836","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1046836","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1511.00942","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020562119","display_name":"Timothy E. Faver","orcid":"https://orcid.org/0000-0002-8914-7820"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Timothy E. Faver","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017084784","display_name":"James Wright","orcid":"https://orcid.org/0009-0008-3205-8916"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Douglas Wright","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020562119"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4608,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60540568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"50","issue":"1","first_page":"182","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":1.0,"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/T11575","display_name":"Nonlinear Photonic Systems","score":1.0,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998000264167786,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diatomic-molecule","display_name":"Diatomic molecule","score":0.8664199709892273},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.63230299949646},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.5347356796264648},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4835912585258484},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.433185875415802},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.42661598324775696},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.41143321990966797},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3937956392765045},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3760671019554138},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3519250750541687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23545724153518677},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13755428791046143}],"concepts":[{"id":"https://openalex.org/C111806078","wikidata":"https://www.wikidata.org/wiki/Q1751859","display_name":"Diatomic molecule","level":3,"score":0.8664199709892273},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.63230299949646},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.5347356796264648},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4835912585258484},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.433185875415802},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.42661598324775696},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.41143321990966797},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3937956392765045},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3760671019554138},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3519250750541687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23545724153518677},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13755428791046143},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/15m1046836","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1046836","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:arXiv.org:1511.00942","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.00942","pdf_url":"https://arxiv.org/pdf/1511.00942","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2229864936","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1511.00942.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1511.00942","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1511.00942","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1511.00942","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.00942","pdf_url":"https://arxiv.org/pdf/1511.00942","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G408000810","display_name":"Degenerate dispersive effects in partial and lattice differential equations","funder_award_id":"1105635","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4754271841","display_name":null,"funder_award_id":"DMS-1511488","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5746052413","display_name":null,"funder_award_id":"1511488","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G724171585","display_name":null,"funder_award_id":"DMS-1105635","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/F4320313676","display_name":"Swarthmore College","ror":"https://ror.org/012dg8a96"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2229864936.pdf","grobid_xml":"https://content.openalex.org/works/W2229864936.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W940757057","https://openalex.org/W1487057719","https://openalex.org/W1547403762","https://openalex.org/W1966106671","https://openalex.org/W1973365196","https://openalex.org/W1989608004","https://openalex.org/W1996251580","https://openalex.org/W2000053126","https://openalex.org/W2007885462","https://openalex.org/W2020963444","https://openalex.org/W2026515283","https://openalex.org/W2032667778","https://openalex.org/W2044175353","https://openalex.org/W2047728548","https://openalex.org/W2064185395","https://openalex.org/W2076664265","https://openalex.org/W2080070212","https://openalex.org/W2092696532","https://openalex.org/W2119391724","https://openalex.org/W2168761750","https://openalex.org/W2327812898","https://openalex.org/W2340547177","https://openalex.org/W2593401406","https://openalex.org/W3104501973"],"related_works":["https://openalex.org/W2963690154","https://openalex.org/W2943271495","https://openalex.org/W2907210005","https://openalex.org/W2029328754","https://openalex.org/W1974889103","https://openalex.org/W2143330080","https://openalex.org/W2474597797","https://openalex.org/W1980255316","https://openalex.org/W2963434362","https://openalex.org/W2076383796","https://openalex.org/W2146515776","https://openalex.org/W2798812919","https://openalex.org/W2963110789","https://openalex.org/W2261067148","https://openalex.org/W2319706823","https://openalex.org/W1968780555","https://openalex.org/W1995217641","https://openalex.org/W2034042426","https://openalex.org/W1983802450","https://openalex.org/W2136607425"],"abstract_inverted_index":{"We":[0],"study":[1,57],"the":[2,16,25,36,39,73,86,114,122,128],"existence":[3],"of":[4,24,47,72,76,88,113,121],"solitary":[5,92],"waves":[6,137],"in":[7,69],"a":[8,21,44,50,95],"diatomic":[9,37,132],"Fermi--Pasta--Ulam--Tsingou":[10],"(FPUT)":[11],"lattice.":[12],"For":[13],"monatomic":[14],"FPUT":[15],"traveling":[17,40,58,81],"wave":[18,41,67,82,93,97,116],"equations":[19,29,42],"are":[20,43,85],"regular":[22],"perturbation":[23,46],"Korteweg--de":[26],"Vries":[27],"(KdV)":[28],"but,":[30],"surprisingly,":[31],"we":[32,63,107],"find":[33],"that":[34,65,130],"for":[35,60,66],"lattice":[38],"singular":[45],"KdV's.":[48],"Using":[49],"method":[51],"first":[52],"developed":[53],"by":[54],"Beale":[55],"to":[56,105,127],"solutions":[59,83],"capillary-gravity":[61],"waves,":[62],"demonstrate":[64],"speeds":[68],"slight":[70],"excess":[71],"lattice's":[74],"speed":[75],"sound":[77],"there":[78],"exist":[79],"nontrivial":[80],"which":[84],"superposition":[87],"an":[89,118],"exponentially":[90],"localized":[91],"and":[94,124],"periodic":[96,115],"whose":[98],"amplitude":[99],"is":[100,104,117,125],"extremely":[101],"small.":[102],"That":[103],"say,":[106],"construct":[108],"nanopteron":[109],"solutions.":[110],"The":[111],"presence":[112],"essential":[119],"part":[120],"analysis":[123],"connected":[126],"fact":[129],"linear":[131],"lattices":[133],"have":[134],"optical":[135],"band":[136],"with":[138],"any":[139],"possible":[140],"phase":[141],"speed.":[142]},"counts_by_year":[{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}