{"id":"https://openalex.org/W7150716784","doi":"https://doi.org/10.15673/pigc.v19i1.2740","title":"On partial preliminary group classification of some class of (1+3)-dimensional Monge-Ampere equations. II. Two-dimensional Lie algebras.","display_name":"On partial preliminary group classification of some class of (1+3)-dimensional Monge-Ampere equations. II. Two-dimensional Lie algebras.","publication_year":2026,"publication_date":"2026-04-04","ids":{"openalex":"https://openalex.org/W7150716784","doi":"https://doi.org/10.15673/pigc.v19i1.2740"},"language":"en","primary_location":{"id":"doi:10.15673/pigc.2026.2","doi":"https://doi.org/10.15673/pigc.2026.2","is_oa":true,"landing_page_url":"https://doi.org/10.15673/pigc.2026.2","pdf_url":"https://journals.ontu.edu.ua/index.php/geometry/article/download/%25j.%25Y.2/3614","source":{"id":"https://openalex.org/S4210227143","display_name":"Proceedings of the International Geometry Center","issn_l":"2072-9812","issn":["2072-9812","2409-8906"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310321156","host_organization_name":"Odesa National Academy of Food Technologies","host_organization_lineage":["https://openalex.org/P4310321156"],"host_organization_lineage_names":["Odesa National Academy of Food Technologies"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Geometry Center","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journals.ontu.edu.ua/index.php/geometry/article/download/%25j.%25Y.2/3614","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046062047","display_name":"Vasyl M. Fedorchuk","orcid":"https://orcid.org/0000-0003-0164-2673","observed_orcids":["https://orcid.org/0000-0003-0164-2673"]},"institutions":[{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Vasyl Fedorchuk","raw_affiliation_strings":["Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine","institution_ids":["https://openalex.org/I4210145787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102995957","display_name":"Volodymyr I. Fedorchuk","orcid":"https://orcid.org/0000-0002-5248-7776","observed_orcids":["https://orcid.org/0000-0002-5248-7776","https://orcid.org/0000-0002-3540-0237"]},"institutions":[{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Volodymyr Fedorchuk","raw_affiliation_strings":["Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-5248-7776","affiliations":[{"raw_affiliation_string":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine","institution_ids":["https://openalex.org/I4210145787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210145787"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"1","first_page":"2","last_page":"2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.6523000001907349,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.6523000001907349,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.24959999322891235,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.04450000077486038,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/monge-ampere-equation","display_name":"Monge-Amp\u00e8re equation","score":0.9750000238418579},{"id":"https://openalex.org/keywords/group-classification","display_name":"group classification","score":0.7789999842643738},{"id":"https://openalex.org/keywords/poincare-group","display_name":"Poincar\u00e9 group","score":0.824999988079071},{"id":"https://openalex.org/keywords/lie-symmetries","display_name":"Lie symmetries","score":0.6389999985694885}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7929999828338623},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7096999883651733},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5557000041007996},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.5127999782562256},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.511900007724762},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47530001401901245},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.3571000099182129},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.33079999685287476},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.32739999890327454},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3237999975681305},{"id":"https://openalex.org/C186489112","wikidata":"https://www.wikidata.org/wiki/Q763735","display_name":"Representation of a Lie group","level":3,"score":0.2791000008583069},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2775999903678894},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C58910974","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation","level":3,"score":0.25369998812675476}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.15673/pigc.2026.2","doi":"https://doi.org/10.15673/pigc.2026.2","is_oa":true,"landing_page_url":"https://doi.org/10.15673/pigc.2026.2","pdf_url":"https://journals.ontu.edu.ua/index.php/geometry/article/download/%25j.%25Y.2/3614","source":{"id":"https://openalex.org/S4210227143","display_name":"Proceedings of the International Geometry Center","issn_l":"2072-9812","issn":["2072-9812","2409-8906"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310321156","host_organization_name":"Odesa National Academy of Food Technologies","host_organization_lineage":["https://openalex.org/P4310321156"],"host_organization_lineage_names":["Odesa National Academy of Food Technologies"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Geometry Center","raw_type":"journal-article"},{"id":"doi:10.15673/pigc.v19i1.2740","doi":"https://doi.org/10.15673/pigc.v19i1.2740","is_oa":true,"landing_page_url":"https://doi.org/10.15673/pigc.v19i1.2740","pdf_url":null,"source":{"id":"https://openalex.org/S4210227143","display_name":"Proceedings of the International Geometry Center","issn_l":"2072-9812","issn":["2072-9812","2409-8906"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310321156","host_organization_name":"Odesa National Academy of Food Technologies","host_organization_lineage":["https://openalex.org/P4310321156"],"host_organization_lineage_names":["Odesa National Academy of Food Technologies"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Geometry Center","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d561bc08c3d4403ebed9235c1e4ba7f4","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/d561bc08c3d4403ebed9235c1e4ba7f4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Prac\u00ec M\u00ec\u017enarodnogo Geometri\u010dnogo Centru, Vol 19, Iss 1, Pp 2-13 pages (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15673/pigc.2026.2","doi":"https://doi.org/10.15673/pigc.2026.2","is_oa":true,"landing_page_url":"https://doi.org/10.15673/pigc.2026.2","pdf_url":"https://journals.ontu.edu.ua/index.php/geometry/article/download/%25j.%25Y.2/3614","source":{"id":"https://openalex.org/S4210227143","display_name":"Proceedings of the International Geometry Center","issn_l":"2072-9812","issn":["2072-9812","2409-8906"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310321156","host_organization_name":"Odesa National Academy of Food Technologies","host_organization_lineage":["https://openalex.org/P4310321156"],"host_organization_lineage_names":["Odesa National Academy of Food Technologies"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Geometry Center","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7150716784.pdf","grobid_xml":"https://content.openalex.org/works/W7150716784.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1971102216","https://openalex.org/W1975686157","https://openalex.org/W2003576097","https://openalex.org/W2007771320","https://openalex.org/W2008251515","https://openalex.org/W2034970908","https://openalex.org/W2066553128","https://openalex.org/W2077526843","https://openalex.org/W2093716197","https://openalex.org/W2168350108","https://openalex.org/W2170715947","https://openalex.org/W2900387336","https://openalex.org/W2966365423","https://openalex.org/W2982395327","https://openalex.org/W3042383791","https://openalex.org/W3048946185","https://openalex.org/W3086473652","https://openalex.org/W3157382715","https://openalex.org/W3215612457","https://openalex.org/W4251151584","https://openalex.org/W4254194473","https://openalex.org/W4300302763","https://openalex.org/W4383878179"],"related_works":["https://openalex.org/W4412663275","https://openalex.org/W4396765823","https://openalex.org/W4307820774","https://openalex.org/W4400099786","https://openalex.org/W4386825586","https://openalex.org/W4200461695","https://openalex.org/W2737915274","https://openalex.org/W578117449","https://openalex.org/W7161638385","https://openalex.org/W7172511536"],"abstract_inverted_index":{"We":[0],"have":[1],"performed":[2],"the":[3,20,29,33],"partial":[4],"preliminary":[5],"group":[6,35],"classification":[7],"of":[8,11,19,24,28,32],"some":[9],"class":[10],"(1+3)-dimensional":[12],"Monge-Amp\u00e8re":[13],"equations":[14],"using":[15],"non-equivalent":[16],"functional":[17],"bases":[18],"first-order":[21],"differential":[22],"invariants":[23],"two-dimensional":[25],"nonconjugate":[26],"subalgebras":[27],"Lie":[30],"algebra":[31],"Poincar\u00e9":[34],"P(1,4).":[36]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-04-07T00:00:00"}
