{"id":"https://openalex.org/W3135803055","doi":"https://doi.org/10.1080/00207160.2021.1897112","title":"Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date\u2013Jimbo\u2013Kashiwara\u2013Miwa equation","display_name":"Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date\u2013Jimbo\u2013Kashiwara\u2013Miwa equation","publication_year":2021,"publication_date":"2021-03-02","ids":{"openalex":"https://openalex.org/W3135803055","doi":"https://doi.org/10.1080/00207160.2021.1897112","mag":"3135803055"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2021.1897112","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1897112","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5033738847","display_name":"Hajar F. Ismael","orcid":"https://orcid.org/0000-0001-6189-9329"},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]},{"id":"https://openalex.org/I36162470","display_name":"University of Zakho","ror":"https://ror.org/05sd1pz50","country_code":"IQ","type":"education","lineage":["https://openalex.org/I36162470"]}],"countries":["IQ","TR"],"is_corresponding":false,"raw_author_name":"Hajar F. Ismael","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey","Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq"],"raw_orcid":"https://orcid.org/0000-0001-6189-9329","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey","institution_ids":["https://openalex.org/I143396566"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq","institution_ids":["https://openalex.org/I36162470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061661736","display_name":"Aly R. Seadawy","orcid":null},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Aly Seadawy","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-7412-4773","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046497623","display_name":"Hasan Bulut","orcid":"https://orcid.org/0000-0002-6089-1517"},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Hasan Bulut","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey","institution_ids":["https://openalex.org/I143396566"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061661736"],"corresponding_institution_ids":["https://openalex.org/I23075662"],"apc_list":null,"apc_paid":null,"fwci":4.2005,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.95037399,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"98","issue":"12","first_page":"2369","last_page":"2377"},"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":0.9990000128746033,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/soliton","display_name":"Soliton","score":0.6842737197875977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6122632622718811},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.5940014719963074},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5938519835472107},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5186754465103149},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47982263565063477},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4552437961101532},{"id":"https://openalex.org/keywords/one-dimensional-space","display_name":"One-dimensional space","score":0.41255050897598267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35257548093795776},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.34695327281951904},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26563483476638794},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14726006984710693}],"concepts":[{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6842737197875977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6122632622718811},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.5940014719963074},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5938519835472107},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5186754465103149},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47982263565063477},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4552437961101532},{"id":"https://openalex.org/C175205982","wikidata":"https://www.wikidata.org/wiki/Q208920","display_name":"One-dimensional space","level":2,"score":0.41255050897598267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35257548093795776},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.34695327281951904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26563483476638794},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14726006984710693},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2021.1897112","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1897112","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1965300652","https://openalex.org/W2000485506","https://openalex.org/W2003928314","https://openalex.org/W2034390776","https://openalex.org/W2077725019","https://openalex.org/W2093315683","https://openalex.org/W2604126014","https://openalex.org/W2705234476","https://openalex.org/W2752631212","https://openalex.org/W2792446509","https://openalex.org/W2801925598","https://openalex.org/W2807457081","https://openalex.org/W2890572105","https://openalex.org/W2895795045","https://openalex.org/W2903229632","https://openalex.org/W2909247407","https://openalex.org/W2910970476","https://openalex.org/W2912218702","https://openalex.org/W2914527950","https://openalex.org/W2916256820","https://openalex.org/W2923799860","https://openalex.org/W2925161961","https://openalex.org/W2938184131","https://openalex.org/W2971494770","https://openalex.org/W2979682856","https://openalex.org/W2980100717","https://openalex.org/W2991206845","https://openalex.org/W2991207611","https://openalex.org/W2996912186","https://openalex.org/W3000040727","https://openalex.org/W3004270488","https://openalex.org/W3007728382","https://openalex.org/W3011297774","https://openalex.org/W3014004943","https://openalex.org/W3017921113","https://openalex.org/W3022469269","https://openalex.org/W3035234532","https://openalex.org/W3036842132","https://openalex.org/W3039943657","https://openalex.org/W3046177959","https://openalex.org/W3123721210"],"related_works":["https://openalex.org/W2792677503","https://openalex.org/W2682605843","https://openalex.org/W2492916472","https://openalex.org/W3184495376","https://openalex.org/W4360980482","https://openalex.org/W3143195123","https://openalex.org/W3197408098","https://openalex.org/W2086536415","https://openalex.org/W2530750042","https://openalex.org/W3033777635"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,13,29,40,51,58,61,72],"Date\u2013Jimbo\u2013Kashiwara\u2013Miwa":[4],"(DJKM)":[5],"equation":[6],"include":[7],"time-dependent":[8,41,68],"in":[9,19],"(2+1)-dimensions":[10],"that":[11],"characterize":[12],"propagation":[14],"of":[15,67],"nonlinear":[16],"dispersive":[17],"waves":[18],"inhomogeneous":[20],"media":[21],"is":[22],"studied.":[23,83],"We":[24],"construct":[25],"rational":[26,34,76],"solutions":[27,46,63,81],"and":[28,36,55,78],"interaction":[30,73],"physical":[31],"phenomena":[32,74],"between":[33,75],"solution":[35,77],"multi-soliton":[37,45],"wave":[38],"to":[39],"DJKM":[42],"equation.":[43],"The":[44],"are":[47,69,82],"revealed":[48],"by":[49],"using":[50],"Hirota":[52],"simple":[53],"method,":[54,60],"then":[56],"via":[57],"long-wave":[59],"M-lump":[62],"for":[64],"two":[65],"types":[66],"derived.":[70],"Moreover,":[71],"single-,":[79],"double-soliton":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
