{"id":"https://openalex.org/W4385327028","doi":"https://doi.org/10.1016/j.aml.2023.108802","title":"Negative order mKdV equation and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e299\" altimg=\"si3.svg\"><mml:mi>N</mml:mi></mml:math>-solitons","display_name":"Negative order mKdV equation and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e299\" altimg=\"si3.svg\"><mml:mi>N</mml:mi></mml:math>-solitons","publication_year":2023,"publication_date":"2023-07-28","ids":{"openalex":"https://openalex.org/W4385327028","doi":"https://doi.org/10.1016/j.aml.2023.108802"},"language":"en","primary_location":{"id":"doi:10.1016/j.aml.2023.108802","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2023.108802","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"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":"Applied Mathematics Letters","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/A5100377604","display_name":"Yun Wang","orcid":"https://orcid.org/0000-0001-8619-0455"},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun Wang","raw_affiliation_strings":["School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100345572","display_name":"Lixin Tian","orcid":"https://orcid.org/0000-0002-4550-2472"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lixin Tian","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100657994","display_name":"Yingnan Zhang","orcid":"https://orcid.org/0000-0001-8274-5521"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingnan Zhang","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100657994"],"corresponding_institution_ids":["https://openalex.org/I152031979"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":0.8347,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70311429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"146","issue":null,"first_page":"108802","last_page":"108802"},"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":0.9984999895095825,"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":0.9830999970436096,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7996559739112854},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.6227127909660339},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.6016067862510681},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5209820866584778},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5024681091308594},{"id":"https://openalex.org/keywords/hill-differential-equation","display_name":"Hill differential equation","score":0.42953288555145264},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.41178107261657715},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.350109726190567},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.16321396827697754},{"id":"https://openalex.org/keywords/exact-differential-equation","display_name":"Exact differential equation","score":0.13433101773262024},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12926527857780457},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10231757164001465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09110704064369202},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07829943299293518},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.06680998206138611}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7996559739112854},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6227127909660339},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.6016067862510681},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5209820866584778},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5024681091308594},{"id":"https://openalex.org/C100873260","wikidata":"https://www.wikidata.org/wiki/Q1169848","display_name":"Hill differential equation","level":5,"score":0.42953288555145264},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.41178107261657715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.350109726190567},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.16321396827697754},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.13433101773262024},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12926527857780457},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10231757164001465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09110704064369202},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07829943299293518},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.06680998206138611},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.aml.2023.108802","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2023.108802","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"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":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8236297968","display_name":null,"funder_award_id":"12071447","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8655830502","display_name":null,"funder_award_id":"BK20211266","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1980257099","https://openalex.org/W1984411134","https://openalex.org/W1990907100","https://openalex.org/W2001983765","https://openalex.org/W2017358916","https://openalex.org/W2021172932","https://openalex.org/W2026031976","https://openalex.org/W2034796287","https://openalex.org/W2062459798","https://openalex.org/W2081149245","https://openalex.org/W2090672927","https://openalex.org/W2100969718","https://openalex.org/W2140084231","https://openalex.org/W2590362739","https://openalex.org/W2614141670","https://openalex.org/W2963370424","https://openalex.org/W2973119209","https://openalex.org/W3098550142","https://openalex.org/W3102429112","https://openalex.org/W3173893198","https://openalex.org/W4224300640","https://openalex.org/W4232650420","https://openalex.org/W4300425417","https://openalex.org/W4310803239","https://openalex.org/W6734053075","https://openalex.org/W6847237774"],"related_works":["https://openalex.org/W1985080983","https://openalex.org/W2102153656","https://openalex.org/W1971248990","https://openalex.org/W2774129652","https://openalex.org/W2063481630","https://openalex.org/W2058757124","https://openalex.org/W2263050974","https://openalex.org/W2353815637","https://openalex.org/W2067598262","https://openalex.org/W2223488821"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-02-03T00:53:05.648605","created_date":"2025-10-10T00:00:00"}