{"id":"https://openalex.org/W1965670266","doi":"https://doi.org/10.1016/0165-2125(88)90032-7","title":"A procedure for determining exact solutions to certain nonlinear evolution equations","display_name":"A procedure for determining exact solutions to certain nonlinear evolution equations","publication_year":1988,"publication_date":"1988-08-01","ids":{"openalex":"https://openalex.org/W1965670266","doi":"https://doi.org/10.1016/0165-2125(88)90032-7","mag":"1965670266"},"language":"en","primary_location":{"id":"doi:10.1016/0165-2125(88)90032-7","doi":"https://doi.org/10.1016/0165-2125(88)90032-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0165-2125(88)90032-7","pdf_url":null,"source":{"id":"https://openalex.org/S10729136","display_name":"Wave Motion","issn_l":"0165-2125","issn":["0165-2125","1878-433X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wave Motion","raw_type":"journal-article"},"volume":null,"type":"article","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/A5040712151","display_name":"Claire R Gilson","orcid":"https://orcid.org/0000-0002-3166-2416","observed_orcids":["https://orcid.org/0000-0002-3166-2416"]},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C.R. Gilson","raw_affiliation_strings":["School of Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, England NE1 7RU, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, England NE1 7RU, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072214740","display_name":"M.A. Pytka","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M.A. Pytka","raw_affiliation_strings":["School of Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, England NE1 7RU, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, England NE1 7RU, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I84884186"],"apc_list":{"value":2950,"currency":"EUR","value_usd":3640},"apc_paid":null,"fwci":0.3422,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58782498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"4","first_page":"355","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9970999956130981,"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":"Nonlinear Waves and Solitons","score":0.9970999956130981,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/exact-solutions","display_name":"exact solutions","score":0.8100000023841858},{"id":"https://openalex.org/keywords/nonlinear-evolution-equations","display_name":"nonlinear evolution equations","score":1.0},{"id":"https://openalex.org/keywords/trilinear-forms","display_name":"trilinear forms","score":0.625},{"id":"https://openalex.org/keywords/dependent-variable-transformation","display_name":"dependent variable transformation","score":0.847000002861023}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6431721448898315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5685250759124756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5408473610877991},{"id":"https://openalex.org/C2982905333","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Evolution equation","level":2,"score":0.4512540102005005},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3973856270313263},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33738964796066284},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3334847688674927},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25068360567092896},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06541192531585693},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0165-2125(88)90032-7","doi":"https://doi.org/10.1016/0165-2125(88)90032-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0165-2125(88)90032-7","pdf_url":null,"source":{"id":"https://openalex.org/S10729136","display_name":"Wave Motion","issn_l":"0165-2125","issn":["0165-2125","1878-433X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wave Motion","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1969901794","https://openalex.org/W2030459145","https://openalex.org/W2040256440","https://openalex.org/W2094044347","https://openalex.org/W2100586882","https://openalex.org/W2106967986","https://openalex.org/W2245001789","https://openalex.org/W2405027301","https://openalex.org/W2547476028","https://openalex.org/W2991500234","https://openalex.org/W3021320825","https://openalex.org/W3192611035","https://openalex.org/W6650531870","https://openalex.org/W6690962945","https://openalex.org/W6729812203","https://openalex.org/W6800441542"],"related_works":["https://openalex.org/W1973641256","https://openalex.org/W2154204858","https://openalex.org/W2089274067","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W3209622820","https://openalex.org/W2418069309","https://openalex.org/W2376158287","https://openalex.org/W1526165314","https://openalex.org/W2382250648"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}