{"id":"https://openalex.org/W2030795481","doi":"https://doi.org/10.1103/physreve.58.3833","title":"Solitons in anharmonic chains with power-law long-range interactions","display_name":"Solitons in anharmonic chains with power-law long-range interactions","publication_year":1998,"publication_date":"1998-09-01","ids":{"openalex":"https://openalex.org/W2030795481","doi":"https://doi.org/10.1103/physreve.58.3833","mag":"2030795481"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.58.3833","doi":"https://doi.org/10.1103/physreve.58.3833","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.58.3833","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"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/A5108543706","display_name":"Sergei F. Mingaleev","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210155719","display_name":"Bogolyubov Institute for Theoretical Physics","ror":"https://ror.org/05q1wf970","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210155719"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Serge F. Mingaleev","raw_affiliation_strings":["Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine","institution_ids":["https://openalex.org/I4210155719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082543128","display_name":"Yuri Gaididei","orcid":"https://orcid.org/0000-0003-3849-2402","observed_orcids":["https://orcid.org/0000-0003-3849-2402"]},"institutions":[{"id":"https://openalex.org/I4210155719","display_name":"Bogolyubov Institute for Theoretical Physics","ror":"https://ror.org/05q1wf970","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210155719"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Yuri B. Gaididei","raw_affiliation_strings":["Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine","institution_ids":["https://openalex.org/I4210155719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008378688","display_name":"Franz G. Mertens","orcid":"https://orcid.org/0000-0002-0574-2279","observed_orcids":["https://orcid.org/0000-0002-0574-2279"]},"institutions":[{"id":"https://openalex.org/I4210155719","display_name":"Bogolyubov Institute for Theoretical Physics","ror":"https://ror.org/05q1wf970","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210155719"]},{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE","UA"],"is_corresponding":false,"raw_author_name":"Franz G. Mertens","raw_affiliation_strings":["Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine","Physikalisches Institut, Universit\u00e4t Bayreuth, D-95440 Bayreuth, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine","institution_ids":["https://openalex.org/I4210155719"]},{"raw_affiliation_string":"Physikalisches Institut, Universit\u00e4t Bayreuth, D-95440 Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8545,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.71848389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"3","first_page":"3833","last_page":"3842"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9984999895095825,"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":0.9984999895095825,"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":0.0007999999797903001,"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":0.00019999999494757503,"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/solitons","display_name":"solitons","score":0.8949999809265137},{"id":"https://openalex.org/keywords/anharmonic-chains","display_name":"anharmonic chains","score":0.9739999771118164},{"id":"https://openalex.org/keywords/long-range-interactions","display_name":"long-range interactions","score":0.9470000267028809},{"id":"https://openalex.org/keywords/power-law-interactions","display_name":"power-law interactions","score":0.7889999747276306},{"id":"https://openalex.org/keywords/boussinesq-equations","display_name":"Boussinesq equations","score":0.9490000009536743},{"id":"https://openalex.org/keywords/benjamin-ono-equation","display_name":"Benjamin-Ono equation","score":0.9940000176429749},{"id":"https://openalex.org/keywords/band-gap","display_name":"band gap","score":0.6610000133514404},{"id":"https://openalex.org/keywords/plane-wave-spectrum","display_name":"plane wave spectrum","score":0.609000027179718},{"id":"https://openalex.org/keywords/one-dimensional-chains","display_name":"one-dimensional chains","score":0.5189999938011169}],"concepts":[{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.9126682281494141},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8034284114837646},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6662953495979309},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6551337242126465},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.6106659173965454},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5583613514900208},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5075415372848511},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4819938540458679},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.46981126070022583},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46523943543434143},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4651314616203308},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.4506075084209442},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.4461214244365692},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.44302523136138916},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.43232667446136475},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4132315516471863},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3451589345932007},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.30056050419807434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12036862969398499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07942348718643188},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physreve.58.3833","doi":"https://doi.org/10.1103/physreve.58.3833","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.58.3833","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmh:oai:eref.uni-bayreuth.de:63210","doi":null,"is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/63210/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W305332711","https://openalex.org/W1551335708","https://openalex.org/W1676529478","https://openalex.org/W1979386794","https://openalex.org/W1982197235","https://openalex.org/W1986311666","https://openalex.org/W1986788497","https://openalex.org/W1999028438","https://openalex.org/W2006640298","https://openalex.org/W2007800475","https://openalex.org/W2010908937","https://openalex.org/W2011861422","https://openalex.org/W2025670597","https://openalex.org/W2026031976","https://openalex.org/W2041280036","https://openalex.org/W2048827347","https://openalex.org/W2055623556","https://openalex.org/W2056620800","https://openalex.org/W2058463483","https://openalex.org/W2061376823","https://openalex.org/W2064753819","https://openalex.org/W2068700888","https://openalex.org/W2079550573","https://openalex.org/W2081221601","https://openalex.org/W2083013001","https://openalex.org/W2097198464","https://openalex.org/W2139794367","https://openalex.org/W2157005274","https://openalex.org/W4231055294","https://openalex.org/W4292360406"],"related_works":["https://openalex.org/W2057661875","https://openalex.org/W2056620800","https://openalex.org/W2006640298","https://openalex.org/W1999028438","https://openalex.org/W2011861422","https://openalex.org/W2019171551","https://openalex.org/W2148249235","https://openalex.org/W2574775814","https://openalex.org/W2028060294","https://openalex.org/W2052134915"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,12,17,28,40,46,53,72,78],"influence":[3],"of":[4,11,19,30,74],"long-range":[5],"interactions":[6],"with":[7],"distance":[8],"dependence":[9],"${r}^{\\ensuremath{-}s}$":[10],"elastic":[13],"coupling":[14],"constant":[15],"on":[16],"properties":[18],"pulse":[20],"solitons":[21],"in":[22],"a":[23],"one-dimensional":[24],"anharmonic":[25],"chain.":[26],"Introducing":[27],"approximations":[29],"small":[31],"amplitude":[32],"and":[33,45,77],"long":[34],"wavelength,":[35],"we":[36],"have":[37],"arrived":[38],"at":[39],"Boussinesq":[41],"equation":[42,48],"for":[43,49,59],"$s>5$":[44,52],"Benjamin-Ono":[47],"$s=4.$":[50],"For":[51,64],"soliton":[54,79],"tails":[55],"are":[56,62],"exponential":[57],"while":[58],"$3<s<~5$":[60],"they":[61],"algebraic.":[63],"$s<~3.5$":[65],"there":[66],"is":[67],"an":[68],"energy":[69],"gap":[70],"between":[71],"spectra":[73],"plane":[75],"waves":[76],"states.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2016-06-24T00:00:00"}