{"id":"https://openalex.org/W2106065384","doi":"https://doi.org/10.1007/978-3-642-23756-0_92","title":"A Class of Exact Solutions of the BBM Equations","display_name":"A Class of Exact Solutions of the BBM Equations","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2106065384","doi":"https://doi.org/10.1007/978-3-642-23756-0_92","mag":"2106065384"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-23756-0_92","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23756-0_92","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5090558469","display_name":"Bo Lu","orcid":"https://orcid.org/0000-0003-4651-0279"},"institutions":[{"id":"https://openalex.org/I4210163247","display_name":"Henan Institute of Science and Technology","ror":"https://ror.org/0578f1k82","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163247"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Lu","raw_affiliation_strings":["Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, China, 453003"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, China, 453003","institution_ids":["https://openalex.org/I4210163247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028961278","display_name":"Guanxiu Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210163247","display_name":"Henan Institute of Science and Technology","ror":"https://ror.org/0578f1k82","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163247"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanxiu Yuan","raw_affiliation_strings":["Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, China, 453003"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, China, 453003","institution_ids":["https://openalex.org/I4210163247"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100883388","display_name":"Jinku Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210163247","display_name":"Henan Institute of Science and Technology","ror":"https://ror.org/0578f1k82","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163247"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinku Yang","raw_affiliation_strings":["Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, China, 453003"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, China, 453003","institution_ids":["https://openalex.org/I4210163247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210163247"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19277553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"577","last_page":"580"},"is_retracted":false,"is_paratext":false,"is_xpac":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":0.9973000288009644,"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":0.9945999979972839,"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/mathematics","display_name":"Mathematics","score":0.748894989490509},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6870591640472412},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5801687836647034},{"id":"https://openalex.org/keywords/elliptic-function","display_name":"Elliptic function","score":0.576406717300415},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5428014993667603},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5285122394561768},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5135300755500793},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4971494972705841},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4805765151977539},{"id":"https://openalex.org/keywords/independent-equation","display_name":"Independent equation","score":0.4761383831501007},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3849390149116516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10787272453308105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07490205764770508}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.748894989490509},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6870591640472412},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5801687836647034},{"id":"https://openalex.org/C123958593","wikidata":"https://www.wikidata.org/wiki/Q938102","display_name":"Elliptic function","level":2,"score":0.576406717300415},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5428014993667603},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5285122394561768},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5135300755500793},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4971494972705841},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4805765151977539},{"id":"https://openalex.org/C200602138","wikidata":"https://www.wikidata.org/wiki/Q16979193","display_name":"Independent equation","level":3,"score":0.4761383831501007},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3849390149116516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10787272453308105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07490205764770508},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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":[{"id":"doi:10.1007/978-3-642-23756-0_92","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23756-0_92","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W130801730","https://openalex.org/W2005380085","https://openalex.org/W2056560536","https://openalex.org/W2056808786","https://openalex.org/W2073817609","https://openalex.org/W2116741266","https://openalex.org/W2264777727","https://openalex.org/W2272118838"],"related_works":["https://openalex.org/W2682190590","https://openalex.org/W935007796","https://openalex.org/W97241627","https://openalex.org/W2358589552","https://openalex.org/W2051984630","https://openalex.org/W1991373942","https://openalex.org/W2066764747","https://openalex.org/W2985622559","https://openalex.org/W2027741235","https://openalex.org/W2488373638"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}