{"id":"https://openalex.org/W7165033242","doi":"https://doi.org/10.1016/j.cnsns.2026.110346","title":"Whitham modulation theory for the Korteweg-de Vries equation with nonlocal terms","display_name":"Whitham modulation theory for the Korteweg-de Vries equation with nonlocal terms","publication_year":2026,"publication_date":"2026-06-17","ids":{"openalex":"https://openalex.org/W7165033242","doi":"https://doi.org/10.1016/j.cnsns.2026.110346"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.110346","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110346","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/A5063808774","display_name":"Min Zhao","orcid":"https://orcid.org/0009-0006-2567-0918"},"institutions":[{"id":"https://openalex.org/I159389169","display_name":"Ningbo University of Technology","ror":"https://ror.org/037dym702","country_code":"CN","type":"education","lineage":["https://openalex.org/I159389169"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Zhao","raw_affiliation_strings":["School of Statistics and Data Science, Ningbo University of Technology, Ningbo, 315211, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-2567-0918","affiliations":[{"raw_affiliation_string":"School of Statistics and Data Science, Ningbo University of Technology, Ningbo, 315211, P. R. China","institution_ids":["https://openalex.org/I159389169"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063808774"],"corresponding_institution_ids":["https://openalex.org/I159389169"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.85369495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"162","issue":null,"first_page":"110346","last_page":"110346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.5202999711036682,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.5202999711036682,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.16459999978542328,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.10559999942779541,"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/modulation","display_name":"Modulation (music)","score":0.4456000030040741},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.43560001254081726},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3280999958515167},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.28540000319480896},{"id":"https://openalex.org/keywords/dispersionless-equation","display_name":"Dispersionless equation","score":0.2833000123500824}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5539000034332275},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.4456000030040741},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.43560001254081726},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.40130001306533813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.385699987411499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37689998745918274},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3280999958515167},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.28540000319480896},{"id":"https://openalex.org/C4188701","wikidata":"https://www.wikidata.org/wiki/Q5282585","display_name":"Dispersionless equation","level":5,"score":0.2833000123500824},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27059999108314514},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25450000166893005},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.110346","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110346","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320328768","display_name":"Ningbo University of Technology","ror":"https://ror.org/037dym702"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W2003485783","https://openalex.org/W2014291503","https://openalex.org/W2015516264","https://openalex.org/W2022837827","https://openalex.org/W2030669316","https://openalex.org/W2043345822","https://openalex.org/W2043883179","https://openalex.org/W2049100248","https://openalex.org/W2052019459","https://openalex.org/W2068060939","https://openalex.org/W2070875727","https://openalex.org/W2090654842","https://openalex.org/W2111405832","https://openalex.org/W2165279409","https://openalex.org/W2253235367","https://openalex.org/W3000604024","https://openalex.org/W3134103775","https://openalex.org/W4392900284","https://openalex.org/W4399982512","https://openalex.org/W4400460396","https://openalex.org/W4407565670","https://openalex.org/W4409441279","https://openalex.org/W4410815723","https://openalex.org/W4411164091","https://openalex.org/W4414793897","https://openalex.org/W4416421500"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-26T06:17:10.115597","created_date":"2026-06-18T00:00:00"}
