{"id":"https://openalex.org/W2093627768","doi":"https://doi.org/10.1016/j.amc.2005.04.061","title":"A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations","display_name":"A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations","publication_year":2005,"publication_date":"2005-06-20","ids":{"openalex":"https://openalex.org/W2093627768","doi":"https://doi.org/10.1016/j.amc.2005.04.061","mag":"2093627768"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2005.04.061","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5100454413","display_name":"Yong Chen","orcid":"https://orcid.org/0000-0002-6008-6542"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Chen","raw_affiliation_strings":["Department of Mathematics, Ningbo University, Ningbo 315211, China","Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China","M.M. Key Lab, Chinese Academy of Sciences, Beijing 100080, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"M.M. Key Lab, Chinese Academy of Sciences, Beijing 100080, China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"Department of Mathematics, Ningbo University, Ningbo 315211, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100341261","display_name":"Qi Wang","orcid":"https://orcid.org/0000-0002-1328-8571"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Wang","raw_affiliation_strings":["Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China","M.M. Key Lab, Chinese Academy of Sciences, Beijing 100080, China"],"affiliations":[{"raw_affiliation_string":"M.M. Key Lab, Chinese Academy of Sciences, Beijing 100080, China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100454413"],"corresponding_institution_ids":["https://openalex.org/I183067930","https://openalex.org/I19820366","https://openalex.org/I109935558"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550,"provenance":"doaj"},"apc_paid":null,"fwci":1.287,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":21,"citation_normalized_percentile":{"value":0.853319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"173","issue":"2","first_page":"1163","last_page":"1182"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":1.0,"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":1.0,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9948,"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 methods for differential equations","score":0.9918,"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/elliptic-rational-functions","display_name":"Elliptic rational functions","score":0.6511738},{"id":"https://openalex.org/keywords/jacobi-elliptic-functions","display_name":"Jacobi elliptic functions","score":0.53675425},{"id":"https://openalex.org/keywords/periodic-wave","display_name":"Periodic wave","score":0.5024035},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4925862},{"id":"https://openalex.org/keywords/elliptic-function","display_name":"Elliptic function","score":0.42655647}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7038716},{"id":"https://openalex.org/C201801670","wikidata":"https://www.wikidata.org/wiki/Q2132775","display_name":"Elliptic rational functions","level":4,"score":0.6511738},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5840782},{"id":"https://openalex.org/C73749972","wikidata":"https://www.wikidata.org/wiki/Q1473526","display_name":"Jacobi elliptic functions","level":2,"score":0.53675425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.528484},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5129199},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5033054},{"id":"https://openalex.org/C2993172089","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Periodic wave","level":3,"score":0.5024035},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4925862},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49125594},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.46920508},{"id":"https://openalex.org/C123958593","wikidata":"https://www.wikidata.org/wiki/Q938102","display_name":"Elliptic function","level":2,"score":0.42655647},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.35051736},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33961412},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.23839691},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.080447555},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2005.04.061","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.59}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":48,"referenced_works":["https://openalex.org/W1968142352","https://openalex.org/W1969164483","https://openalex.org/W1970487943","https://openalex.org/W1972259804","https://openalex.org/W1977832450","https://openalex.org/W1983476600","https://openalex.org/W1986555625","https://openalex.org/W1990134138","https://openalex.org/W2006479457","https://openalex.org/W2010141761","https://openalex.org/W2011339639","https://openalex.org/W2011412688","https://openalex.org/W2012396943","https://openalex.org/W2014179738","https://openalex.org/W2016667737","https://openalex.org/W2017366034","https://openalex.org/W2018038508","https://openalex.org/W2018162518","https://openalex.org/W2021806370","https://openalex.org/W2037449272","https://openalex.org/W2038833497","https://openalex.org/W2040710345","https://openalex.org/W2046043128","https://openalex.org/W2047569789","https://openalex.org/W2050485672","https://openalex.org/W2052142989","https://openalex.org/W2058430527","https://openalex.org/W2060712662","https://openalex.org/W2062176552","https://openalex.org/W2067137781","https://openalex.org/W2069763315","https://openalex.org/W2073817609","https://openalex.org/W2074715049","https://openalex.org/W2083593231","https://openalex.org/W2083960709","https://openalex.org/W2086149790","https://openalex.org/W2087646556","https://openalex.org/W2093444109","https://openalex.org/W2119439406","https://openalex.org/W2135994620","https://openalex.org/W2159514670","https://openalex.org/W2323080148","https://openalex.org/W2334618143","https://openalex.org/W2563903429","https://openalex.org/W2596904718","https://openalex.org/W302658422","https://openalex.org/W595846807","https://openalex.org/W942655390"],"related_works":["https://openalex.org/W4286617672","https://openalex.org/W4245335431","https://openalex.org/W4231547173","https://openalex.org/W2601445645","https://openalex.org/W2281562999","https://openalex.org/W2012515020","https://openalex.org/W2003136893","https://openalex.org/W1987296872","https://openalex.org/W1985867766","https://openalex.org/W1517744078"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2093627768","counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-01-04T16:19:55.802140","created_date":"2016-06-24"}