Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1573927207', 'doi': 'https://doi.org/10.1007/bf00049574', 'title': 'Applications of lie groups to differential equations', 'display_name': 'Applications of lie groups to differential equations', 'publication_year': 1990, 'publication_date': '1990-09-01', 'ids': {'openalex': 'https://openalex.org/W1573927207', 'doi': 'https://doi.org/10.1007/bf00049574', 'mag': '1573927207'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf00049574', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S3372071', 'display_name': 'Acta Applicandae Mathematicae', 'issn_l': '0167-8019', 'issn': ['0167-8019', '1572-9036'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://link.springer.com/content/pdf/bfm:978-1-4684-0274-2/1?pdf=chapter%20toc', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5070840504', 'display_name': 'Peter J. Olver', 'orcid': 'https://orcid.org/0000-0001-6209-8777'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Peter J. Olver', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5070840504'], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 8.305, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 6454, 'citation_normalized_percentile': {'value': 0.987256, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '20', 'issue': '3', 'first_page': '312', 'last_page': '315'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10248', 'display_name': 'Rogue Waves in Nonlinear Systems', 'score': 0.9536, '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': 'Rogue Waves in Nonlinear Systems', 'score': 0.9536, '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/T11416', 'display_name': 'Numerical Integration Methods for Differential Equations', 'score': 0.9517, '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/lie-theory', 'display_name': 'Lie theory', 'score': 0.5318888}, {'id': 'https://openalex.org/keywords/differential-equations', 'display_name': 'Differential Equations', 'score': 0.510058}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8634012}, {'id': 'https://openalex.org/C93779851', 'wikidata': 'https://www.wikidata.org/wiki/Q271977', 'display_name': 'Partial differential equation', 'level': 2, 'score': 0.6877191}, {'id': 'https://openalex.org/C187915474', 'wikidata': 'https://www.wikidata.org/wiki/Q622679', 'display_name': 'Lie group', 'level': 2, 'score': 0.6584979}, {'id': 'https://openalex.org/C143135876', 'wikidata': 'https://www.wikidata.org/wiki/Q357300', 'display_name': 'Lie theory', 'level': 5, 'score': 0.5318888}, {'id': 'https://openalex.org/C64057670', 'wikidata': 'https://www.wikidata.org/wiki/Q4381442', 'display_name': 'First-order partial differential equation', 'level': 3, 'score': 0.45953986}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4295843}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.3741248}, {'id': 'https://openalex.org/C203946495', 'wikidata': 'https://www.wikidata.org/wiki/Q1017106', 'display_name': 'Adjoint representation of a Lie algebra', 'level': 4, 'score': 0.15682992}, {'id': 'https://openalex.org/C73648015', 'wikidata': 'https://www.wikidata.org/wiki/Q6543817', 'display_name': 'Lie conformal algebra', 'level': 3, 'score': 0.11119583}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf00049574', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S3372071', 'display_name': 'Acta Applicandae Mathematicae', 'issn_l': '0167-8019', 'issn': ['0167-8019', '1572-9036'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/978-1-4684-0274-2', 'pdf_url': 'https://link.springer.com/content/pdf/bfm:978-1-4684-0274-2/1?pdf=chapter%20toc', 'source': {'id': 'https://openalex.org/S4308707206', 'display_name': 'Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I157725225', 'host_organization_name': 'University of Illinois Urbana-Champaign', 'host_organization_lineage': ['https://openalex.org/I157725225'], 'host_organization_lineage_names': ['University of Illinois Urbana-Champaign'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/978-1-4684-0274-2', 'pdf_url': 'https://link.springer.com/content/pdf/bfm:978-1-4684-0274-2/1?pdf=chapter%20toc', 'source': {'id': 'https://openalex.org/S4308707206', 'display_name': 'Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I157725225', 'host_organization_name': 'University of Illinois Urbana-Champaign', 'host_organization_lineage': ['https://openalex.org/I157725225'], 'host_organization_lineage_names': ['University of Illinois Urbana-Champaign'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4300900232', 'https://openalex.org/W4238318050', 'https://openalex.org/W4230659680', 'https://openalex.org/W3021320825', 'https://openalex.org/W2563073486', 'https://openalex.org/W2479314534', 'https://openalex.org/W2388355944', 'https://openalex.org/W2359206539', 'https://openalex.org/W2072438171', 'https://openalex.org/W1991459776'], 'abstract_inverted_index': {'whose': [0], 'many': [1], 'comments': [2], 'and': [3], 'suggestions': [4], 'on': [5], 'the': [6], 'manuscript': [7], 'led': [8], 'to': [9], 'much-needed': [10], 'improvements.Phillip': [11], 'Rosenau-whose': [12], 'problems': [13]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1573927207', 'counts_by_year': [{'year': 2024, 'cited_by_count': 10}, {'year': 2023, 'cited_by_count': 29}, {'year': 2022, 'cited_by_count': 30}, {'year': 2021, 'cited_by_count': 277}, {'year': 2020, 'cited_by_count': 265}, {'year': 2019, 'cited_by_count': 246}, {'year': 2018, 'cited_by_count': 207}, {'year': 2017, 'cited_by_count': 198}, {'year': 2016, 'cited_by_count': 179}, {'year': 2015, 'cited_by_count': 241}, {'year': 2014, 'cited_by_count': 263}, {'year': 2013, 'cited_by_count': 284}, {'year': 2012, 'cited_by_count': 294}], 'updated_date': '2024-09-19T05:01:49.214483', 'created_date': '2016-06-24'}