{"doi":"10.1143/ptp.95.557","title":"Generalization of Tomimatsu-Sato Solutions. II","abstract":null,"journal":"Progress of Theoretical Physics","year":1996,"id":644023,"datarank":0.24141568686511508,"base_score":1.6094379124341003,"endowment":1.6094379124341003,"self_citation_contribution":0.24141568686511508,"citation_network_contribution":0.0,"self_endowment_contribution":0.24141568686511508,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":4,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1676034,"name":"S. Hori","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Generalization of Tomimatsu-Sato Solutions. II","abstract":"It is shown that the Ernst equation, which is a nonlinear partial differential equation, can be reduced to a set of linear partial differential equations and a nonlinear ordinary differential equation.","is_dataset_classified":null,"base_score":1.6094379124341003,"endowment":1.6094379124341003,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19910364","pmcid":null,"openalex_id":"https://openalex.org/W4238318050","authors":[],"funders":[],"total_grants":0,"fwci":0.314,"citation_percentile":0.62009696,"influential_citations":0,"citation_trend":[{"year":2021,"count":1},{"year":2025,"count":1},{"year":2026,"count":1}],"oa_status":"bronze","license":null,"oa_locations":[{"url":"https://academic.oup.com/ptp/article-pdf/95/3/557/5380135/95-3-557.pdf","host_type":"journal"},{"url":"https://academic.oup.com/ptp/article-pdf/95/3/557/5380135/95-3-557.pdf","host_type":"publisher"},{"url":"http://academic.oup.com/ptp/article-pdf/95/3/557/5380135/95-3-557.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1143/ptp.95.557","host_type":"journal"}],"fields_of_study":["Nonlinear Waves and Solitons"],"mesh_terms":[],"keywords":["First-order partial differential equation","Physics","Partial differential equation","Nonlinear system","Generalization","Separable partial differential equation","Differential equation","Mathematical analysis","Ordinary differential equation","Method of characteristics","Stochastic partial differential equation","Mathematical physics","Differential algebraic equation","Mathematics","Quantum mechanics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-08T20:57:36.815525Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}