{"id":"https://openalex.org/W2796105285","doi":"https://doi.org/10.1007/978-3-319-71655-8","title":"The Symbolic Computation of Integrability Structures for Partial Differential Equations","display_name":"The Symbolic Computation of Integrability Structures for Partial Differential Equations","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2796105285","doi":"https://doi.org/10.1007/978-3-319-71655-8","mag":"2796105285"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-71655-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-71655-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210189782","display_name":"Texts & monographs in symbolic computation/Texts and monographs in symbolic computation","issn_l":"0943-853X","issn":["0943-853X","2197-8409"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310321666","host_organization_name":"Springer Vienna","host_organization_lineage":["https://openalex.org/P4310321666","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Vienna","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Texts & Monographs in Symbolic Computation","raw_type":"book"},"type":"book","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/A5060237097","display_name":"Joseph Krasil\u2019shchik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]},{"id":"https://openalex.org/I69295118","display_name":"Independent University of Moscow","ror":"https://ror.org/00ygzyy93","country_code":"RU","type":"education","lineage":["https://openalex.org/I69295118"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Joseph Krasil'shchik","raw_affiliation_strings":["V.A. Trapeznikov Institute of Control Sciences RAS, Independent University of Moscow, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"V.A. Trapeznikov Institute of Control Sciences RAS, Independent University of Moscow, Moscow, Russia","institution_ids":["https://openalex.org/I4210157430","https://openalex.org/I69295118"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058294591","display_name":"Alexander Verbovetsky","orcid":"https://orcid.org/0000-0003-0197-4993"},"institutions":[{"id":"https://openalex.org/I69295118","display_name":"Independent University of Moscow","ror":"https://ror.org/00ygzyy93","country_code":"RU","type":"education","lineage":["https://openalex.org/I69295118"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Verbovetsky","raw_affiliation_strings":["Independent University of Moscow, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent University of Moscow, Moscow, Russia","institution_ids":["https://openalex.org/I69295118"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034914742","display_name":"Raffaele Vitolo","orcid":"https://orcid.org/0000-0001-6825-6879"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele Vitolo","raw_affiliation_strings":["Department of Mathematics and Physics 'E. De Giorgi', University of Salento, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics 'E. De Giorgi', University of Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5772,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.85416667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9047999978065491,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9047999978065491,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/symbolic-computation","display_name":"Symbolic computation","score":0.7274145483970642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6693234443664551},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6658231616020203},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5909746885299683},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5608282089233398},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4600932002067566},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4397236108779907},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4043772220611572},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.34156104922294617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.279945969581604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2265501320362091},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19728007912635803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13514235615730286},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1019444465637207}],"concepts":[{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.7274145483970642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6693234443664551},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6658231616020203},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5909746885299683},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5608282089233398},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4600932002067566},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4397236108779907},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4043772220611572},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.34156104922294617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.279945969581604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2265501320362091},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19728007912635803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13514235615730286},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1019444465637207},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-71655-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-71655-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210189782","display_name":"Texts & monographs in symbolic computation/Texts and monographs in symbolic computation","issn_l":"0943-853X","issn":["0943-853X","2197-8409"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310321666","host_organization_name":"Springer Vienna","host_organization_lineage":["https://openalex.org/P4310321666","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Vienna","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Texts & Monographs in Symbolic Computation","raw_type":"book"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W105290850","https://openalex.org/W2796287691","https://openalex.org/W4238539917"],"related_works":["https://openalex.org/W2020591703","https://openalex.org/W2292507975","https://openalex.org/W2046435967","https://openalex.org/W4255888212","https://openalex.org/W2363922099","https://openalex.org/W908473976","https://openalex.org/W4251421746","https://openalex.org/W2384965142","https://openalex.org/W1969582418","https://openalex.org/W1429949169"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2018-04-13T00:00:00"}