{"id":"https://openalex.org/W2049152652","doi":"https://doi.org/10.1016/j.cnsns.2013.06.010","title":"On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models","display_name":"On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models","publication_year":2013,"publication_date":"2013-06-14","ids":{"openalex":"https://openalex.org/W2049152652","doi":"https://doi.org/10.1016/j.cnsns.2013.06.010","mag":"2049152652"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2013.06.010","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2013.06.010","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"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/A5050732902","display_name":"Igor Leite Freire","orcid":"https://orcid.org/0000-0003-0539-9674"},"institutions":[{"id":"https://openalex.org/I71715416","display_name":"Universidade Federal do ABC","ror":"https://ror.org/028kg9j04","country_code":"BR","type":"education","lineage":["https://openalex.org/I71715416"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Igor Leite Freire","raw_affiliation_strings":["Centro de Matem\u00e1tica, Computa\u00e7\u00e3o e Cogni\u00e7\u00e3o, Universidade Federal do ABC \u2013 UFABC, Rua Santa Ad\u00e9lia, 166, Bairro Bangu, 09.210-170 Santo Andr\u00e9, SP, Brazil","Centro de Matem\u00e1tica, Computa\u00e7\u00e3o e Cogni\u00e7\u00e3o, Universidade Federal do ABC (UFABC), Rua Santa Ad\u00e9lia, 166, Bairro Bangu, 09.210-170 Santo Andr\u00e9, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica, Computa\u00e7\u00e3o e Cogni\u00e7\u00e3o, Universidade Federal do ABC \u2013 UFABC, Rua Santa Ad\u00e9lia, 166, Bairro Bangu, 09.210-170 Santo Andr\u00e9, SP, Brazil","institution_ids":["https://openalex.org/I71715416"]},{"raw_affiliation_string":"Centro de Matem\u00e1tica, Computa\u00e7\u00e3o e Cogni\u00e7\u00e3o, Universidade Federal do ABC (UFABC), Rua Santa Ad\u00e9lia, 166, Bairro Bangu, 09.210-170 Santo Andr\u00e9, SP, Brazil","institution_ids":["https://openalex.org/I71715416"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033999859","display_name":"J\u00falio C\u00e9sar Santos Sampaio","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J\u00falio Cesar Santos Sampaio","raw_affiliation_strings":["Instituto de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica \u2013 IMECC, Universidade Estadual de Campinas \u2013 UNICAMP, Rua S\u00e9rgio Buarque de Holanda, 651, 13083-859 Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica \u2013 IMECC, Universidade Estadual de Campinas \u2013 UNICAMP, Rua S\u00e9rgio Buarque de Holanda, 651, 13083-859 Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050732902"],"corresponding_institution_ids":["https://openalex.org/I71715416"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":4.156,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.94236656,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"19","issue":"2","first_page":"350","last_page":"360"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.8645377159118652},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7303566932678223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.716999888420105},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6932268142700195},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5004467964172363},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45582470297813416},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41425007581710815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3829970359802246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14898836612701416},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11944633722305298},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09391355514526367}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8645377159118652},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7303566932678223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.716999888420105},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6932268142700195},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5004467964172363},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45582470297813416},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41425007581710815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3829970359802246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14898836612701416},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11944633722305298},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09391355514526367},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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:10.1016/j.cnsns.2013.06.010","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2013.06.010","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G6434601981","display_name":null,"funder_award_id":"2011/19089-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G7694736909","display_name":null,"funder_award_id":"2011/23538-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1015620293","https://openalex.org/W1182443560","https://openalex.org/W1203619940","https://openalex.org/W1573927207","https://openalex.org/W1626180465","https://openalex.org/W1964571876","https://openalex.org/W1978484255","https://openalex.org/W1990339087","https://openalex.org/W1990720130","https://openalex.org/W2038946909","https://openalex.org/W2040373410","https://openalex.org/W2043465319","https://openalex.org/W2063907161","https://openalex.org/W2071171925","https://openalex.org/W2073314129","https://openalex.org/W2073577478","https://openalex.org/W2076605545","https://openalex.org/W2085413857","https://openalex.org/W2094323159","https://openalex.org/W2098282848","https://openalex.org/W2101741420","https://openalex.org/W2102681519","https://openalex.org/W2125624792","https://openalex.org/W2134670571","https://openalex.org/W2135733259","https://openalex.org/W2291400263","https://openalex.org/W2951695442","https://openalex.org/W4229672964","https://openalex.org/W6626419597","https://openalex.org/W6627903905","https://openalex.org/W6636553930","https://openalex.org/W6647813649","https://openalex.org/W6674585686","https://openalex.org/W6679998367"],"related_works":["https://openalex.org/W1995118522","https://openalex.org/W64916076","https://openalex.org/W2090020940","https://openalex.org/W4364366001","https://openalex.org/W1072895066","https://openalex.org/W2565229889","https://openalex.org/W4213003931","https://openalex.org/W2562909602","https://openalex.org/W2383959235","https://openalex.org/W2348093013"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6}],"updated_date":"2026-06-22T06:23:43.705686","created_date":"2025-10-10T00:00:00"}