{"id":"https://openalex.org/W3049540329","doi":"https://doi.org/10.1088/1742-6596/1416/1/012020","title":"Soliton solutions of logarithmic wave equation and their application for polycrystalline metals","display_name":"Soliton solutions of logarithmic wave equation and their application for polycrystalline metals","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3049540329","doi":"https://doi.org/10.1088/1742-6596/1416/1/012020","mag":"3049540329"},"language":"en","primary_location":{"id":"doi:10.1088/1742-6596/1416/1/012020","doi":"https://doi.org/10.1088/1742-6596/1416/1/012020","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1416/1/012020","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012020/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012020/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011140149","display_name":"Maksym Kraiev","orcid":"https://orcid.org/0000-0001-7610-6934","observed_orcids":["https://orcid.org/0000-0001-7610-6934"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Kraiev","raw_affiliation_strings":["Dniprovsky Metallurgical Plant, Mayakovsky Street, Dnipro 49064, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dniprovsky Metallurgical Plant, Mayakovsky Street, Dnipro 49064, Ukraine","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089062851","display_name":"Kateryna L. Domina","orcid":"https://orcid.org/0000-0002-9000-021X","observed_orcids":["https://orcid.org/0000-0002-9000-021X"]},"institutions":[{"id":"https://openalex.org/I4210128563","display_name":"Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine","ror":"https://ror.org/03myw9d11","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210128563"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"K Domina","raw_affiliation_strings":["Z. I. Nekrasov Iron and Steel Institute of NAS of Ukraine, Academician Starodubov Square, Dnipro 49107, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Z. I. Nekrasov Iron and Steel Institute of NAS of Ukraine, Academician Starodubov Square, Dnipro 49107, Ukraine","institution_ids":["https://openalex.org/I4210128563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048051106","display_name":"Violeta Kraieva","orcid":"https://orcid.org/0000-0002-0099-4629","observed_orcids":["https://orcid.org/0000-0002-0099-4629"]},"institutions":[{"id":"https://openalex.org/I2802037141","display_name":"Dnipro National University of Railway Transport named after Academician V. Lazaryan","ror":"https://ror.org/04b5zca04","country_code":"UA","type":"education","lineage":["https://openalex.org/I2802037141","https://openalex.org/I4387154586"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"V Kraieva","raw_affiliation_strings":["Department of Physics, V. Lazaryan Dniprovsky National University of Railway Transport, Lazaryan Street, Dnipro 49010, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, V. Lazaryan Dniprovsky National University of Railway Transport, Lazaryan Street, Dnipro 49010, Ukraine","institution_ids":["https://openalex.org/I2802037141"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048890351","display_name":"Konstantin G. Zloshchastiev","orcid":"https://orcid.org/0000-0002-9960-2874","observed_orcids":["https://orcid.org/0000-0002-9960-2874"]},"institutions":[{"id":"https://openalex.org/I177181097","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51","country_code":"ZA","type":"education","lineage":["https://openalex.org/I177181097"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"K G Zloshchastiev","raw_affiliation_strings":["Institute of Systems Science, Durban University of Technology, Durban 4000, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Durban University of Technology, Durban 4000, South Africa","institution_ids":["https://openalex.org/I177181097"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1718,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8867234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"1416","issue":"1","first_page":"012020","last_page":"012020"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.6807000041007996,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.6807000041007996,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.2345000058412552,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.013000000268220901,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/solitons","display_name":"solitons","score":0.8679999709129333},{"id":"https://openalex.org/keywords/solitary-waves","display_name":"solitary waves","score":0.9580000042915344},{"id":"https://openalex.org/keywords/melting","display_name":"melting","score":0.9599999785423279},{"id":"https://openalex.org/keywords/solidification","display_name":"solidification","score":0.7110000252723694},{"id":"https://openalex.org/keywords/grain-nucleation","display_name":"grain nucleation","score":0.9409999847412109},{"id":"https://openalex.org/keywords/polycrystalline-metals","display_name":"polycrystalline metals","score":0.9419999718666077},{"id":"https://openalex.org/keywords/phase-transitions-in-solids","display_name":"phase transitions in solids","score":0.4009999930858612}],"concepts":[{"id":"https://openalex.org/C61048295","wikidata":"https://www.wikidata.org/wiki/Q909022","display_name":"Nucleation","level":2,"score":0.7459113597869873},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6632630825042725},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6064729690551758},{"id":"https://openalex.org/C2777335606","wikidata":"https://www.wikidata.org/wiki/Q7130787","display_name":"Silicate","level":2,"score":0.5301308035850525},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4950532019138336},{"id":"https://openalex.org/C513153333","wikidata":"https://www.wikidata.org/wiki/Q663","display_name":"Aluminium","level":2,"score":0.4868011176586151},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4862869679927826},{"id":"https://openalex.org/C2780026712","wikidata":"https://www.wikidata.org/wiki/Q37756","display_name":"Alloy","level":2,"score":0.46436426043510437},{"id":"https://openalex.org/C137637335","wikidata":"https://www.wikidata.org/wiki/Q899604","display_name":"Crystallite","level":2,"score":0.46185290813446045},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44469690322875977},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.41690793633461},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39432692527770996},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.30553197860717773},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.25676047801971436},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14770722389221191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08800676465034485},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08542442321777344},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1088/1742-6596/1416/1/012020","doi":"https://doi.org/10.1088/1742-6596/1416/1/012020","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1416/1/012020","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012020/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},{"id":"pmh:oai:crust.ust.edu.ua:123456789/11765","doi":null,"is_oa":true,"landing_page_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012020","pdf_url":null,"source":{"id":"https://openalex.org/S4306402061","display_name":"\u0422\u0420\u0410\u041d\u0421\u041f\u041e\u0420\u0422\u041d\u0406 \u0421\u0418\u0421\u0422\u0415\u041c\u0418 \u0422\u0410 \u0422\u0415\u0425\u041d\u041e\u041b\u041e\u0413\u0406\u0407 \u041f\u0415\u0420\u0415\u0412\u0415\u0417\u0415\u041d\u042c (\u0417\u0411\u0406\u0420\u041d\u0418\u041a \u041d\u0410\u0423\u041a\u041e\u0412\u0418\u0425 \u041f\u0420\u0410\u0426\u042c \u0414\u041d\u0406\u041f\u0420\u041e\u041f\u0415\u0422\u0420\u041e\u0412\u0421\u042c\u041a\u041e\u0413\u041e \u041d\u0410\u0426\u0406\u041e\u041d\u0410\u041b\u042c\u041d\u041e\u0413\u041e \u0423\u041d\u0406\u0412\u0415\u0420\u0421\u0418\u0422\u0415\u0422\u0423 \u0417\u0410\u041b\u0406\u0417\u041d\u0418\u0427\u041d\u041e\u0413\u041e \u0422\u0420\u0410\u041d\u0421\u041f\u041e\u0420\u0422\u0423 \u0406\u041c\u0415\u041d\u0406 \u0410\u041a\u0410\u0414\u0415\u041c\u0406\u041a\u0410 \u0412. \u041b\u0410\u0417\u0410\u0420\u042f\u041d\u0410)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2802037141","host_organization_name":"Dnipro National University of Railway Transport named after Academician V. Lazaryan","host_organization_lineage":["https://openalex.org/I2802037141"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1088/1742-6596/1416/1/012020","doi":"https://doi.org/10.1088/1742-6596/1416/1/012020","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1416/1/012020","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012020/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320330061","display_name":"Department of Higher Education and Training","ror":"https://ror.org/012jp3q29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3049540329.pdf","grobid_xml":"https://content.openalex.org/works/W3049540329.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1665277916","https://openalex.org/W1971812232","https://openalex.org/W1989520916","https://openalex.org/W1996943823","https://openalex.org/W2012618218","https://openalex.org/W2012838826","https://openalex.org/W2013585282","https://openalex.org/W2020107848","https://openalex.org/W2029717052","https://openalex.org/W2071357402","https://openalex.org/W2076523251","https://openalex.org/W2111755943","https://openalex.org/W2115259536","https://openalex.org/W2130457461","https://openalex.org/W2162687551","https://openalex.org/W2169053604","https://openalex.org/W2171594451","https://openalex.org/W2363889954","https://openalex.org/W2549132309","https://openalex.org/W2803237379","https://openalex.org/W2808845974","https://openalex.org/W2873796054","https://openalex.org/W4213306718"],"related_works":["https://openalex.org/W3198491288","https://openalex.org/W4405312918","https://openalex.org/W2086964145","https://openalex.org/W3099059507","https://openalex.org/W2990220762","https://openalex.org/W2185908917","https://openalex.org/W2804459759","https://openalex.org/W2985494138","https://openalex.org/W2069683873","https://openalex.org/W3203200824"],"abstract_inverted_index":{"Abstract":[0],"Wave":[1],"equations":[2],"with":[3,82],"logarithmic":[4,55],"nonlinearity":[5],"are":[6,45],"applied":[7],"to":[8],"Korteweg-type":[9],"materials":[10,86],"which":[11,33],"can":[12,34],"undergo":[13],"liquid-solid":[14,63],"or":[15,41],"liquid-gas":[16],"phase":[17,64],"transitions.":[18],"One":[19],"of":[20,22,31,39,53,61,74,76,110,116],"predictions":[21],"the":[23,37,54,59,67,96,119],"theory":[24],"is":[25],"a":[26,62,111],"periodical":[27,98],"pattern":[28],"for":[29],"inhomogeneities":[30,44,71],"density,":[32],"occur":[35],"in":[36,58,87,92,114,118],"form":[38],"bubbles":[40],"cells.":[42],"Such":[43],"described":[46],"by":[47],"soliton":[48],"and":[49,100,131],"solitary":[50],"wave":[51,56],"solutions":[52],"equation":[57],"vicinity":[60],"transition.":[65],"During":[66],"solidification":[68],"process,":[69],"these":[70],"become":[72],"centers":[73],"nucleation":[75],"grains.":[77],"Previous":[78],"works":[79],"were":[80,102],"dealing":[81],"generic":[83],"natural":[84],"silicate":[85],"geophysics,":[88],"such":[89],"as":[90],"magmas":[91],"volcanic":[93],"conduits,":[94],"where":[95],"(approximately)":[97],"flows":[99],"structures":[101],"observed.":[103],"Here":[104],"we":[105],"report":[106],"an":[107],"experimental":[108],"evidence":[109],"large-scale":[112],"periodicity":[113],"structure":[115],"grains":[117],"structural":[120],"steel":[121,128],"S235/A570":[122],"Grade":[123],"36,":[124],"copper":[125],"C-Cu/C14200,":[126],"stainless":[127],"X10CrNiTi18-10/AISI":[129],"321,":[130],"aluminium-magnesium":[132],"alloy":[133],"5083/5056.":[134]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2020-08-21T00:00:00"}
