{"id":"https://openalex.org/W4393859986","doi":"https://doi.org/10.26855/acc.2024.02.001","title":"Reducing Modified Formulas for Sinh-Gordon Equation to the Painleve Equations","display_name":"Reducing Modified Formulas for Sinh-Gordon Equation to the Painleve Equations","publication_year":2024,"publication_date":"2024-03-14","ids":{"openalex":"https://openalex.org/W4393859986","doi":"https://doi.org/10.26855/acc.2024.02.001"},"language":"en","primary_location":{"id":"doi:10.26855/acc.2024.02.001","doi":"https://doi.org/10.26855/acc.2024.02.001","is_oa":true,"landing_page_url":"http://dx.doi.org/10.26855/acc.2024.02.001","pdf_url":"https://www.hillpublisher.com/ArticleDetails.aspx?type=PDF&cid=2815","source":{"id":"https://openalex.org/S4210207667","display_name":"Advances in Computer and Communication","issn_l":"2767-2875","issn":["2767-2875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computer and Communication","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.hillpublisher.com/ArticleDetails.aspx?type=PDF&cid=2815","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075638882","display_name":"Nada A. Laabi","orcid":"https://orcid.org/0000-0001-9623-6795","observed_orcids":["https://orcid.org/0000-0001-9623-6795"]},"institutions":[{"id":"https://openalex.org/I202735123","display_name":"Thi Qar University","ror":"https://ror.org/02ypa8k59","country_code":"IQ","type":"education","lineage":["https://openalex.org/I202735123"]}],"countries":["IQ"],"is_corresponding":true,"raw_author_name":"Nada A. Laabi","raw_affiliation_strings":["Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq","institution_ids":["https://openalex.org/I202735123"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075638882"],"corresponding_institution_ids":["https://openalex.org/I202735123"],"apc_list":null,"apc_paid":null,"fwci":0.1153,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.22394826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"5","issue":"1","first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T13806","display_name":"Mathematical and Computational Methods","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/sinh-gordon-equation","display_name":"sinh-Gordon equation","score":0.9049999713897705},{"id":"https://openalex.org/keywords/painleve-equations","display_name":"Painlev\u00e9 equations","score":0.9539999961853027},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.722000002861023},{"id":"https://openalex.org/keywords/movable-singularities","display_name":"movable singularities","score":0.8220000267028809},{"id":"https://openalex.org/keywords/nonlinear-evolution-equations","display_name":"nonlinear evolution equations","score":0.6779999732971191}],"concepts":[{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.5398468375205994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5232887864112854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3684598505496979},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33002424240112305},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2165941596031189},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.04227927327156067},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26855/acc.2024.02.001","doi":"https://doi.org/10.26855/acc.2024.02.001","is_oa":true,"landing_page_url":"http://dx.doi.org/10.26855/acc.2024.02.001","pdf_url":"https://www.hillpublisher.com/ArticleDetails.aspx?type=PDF&cid=2815","source":{"id":"https://openalex.org/S4210207667","display_name":"Advances in Computer and Communication","issn_l":"2767-2875","issn":["2767-2875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computer and Communication","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.26855/acc.2024.02.001","doi":"https://doi.org/10.26855/acc.2024.02.001","is_oa":true,"landing_page_url":"http://dx.doi.org/10.26855/acc.2024.02.001","pdf_url":"https://www.hillpublisher.com/ArticleDetails.aspx?type=PDF&cid=2815","source":{"id":"https://openalex.org/S4210207667","display_name":"Advances in Computer and Communication","issn_l":"2767-2875","issn":["2767-2875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computer and Communication","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4393859986.pdf","grobid_xml":"https://content.openalex.org/works/W4393859986.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W2030367541","https://openalex.org/W2030669316","https://openalex.org/W2061496940","https://openalex.org/W2083960709","https://openalex.org/W2761865018","https://openalex.org/W3081394602","https://openalex.org/W3111029360","https://openalex.org/W4206383161","https://openalex.org/W4292566443","https://openalex.org/W4321769679"],"related_works":["https://openalex.org/W2065337119","https://openalex.org/W1964856864","https://openalex.org/W2000025858","https://openalex.org/W2066484508","https://openalex.org/W1966218332","https://openalex.org/W81854877","https://openalex.org/W2952630126","https://openalex.org/W4389590137","https://openalex.org/W2080181783","https://openalex.org/W6988397101"],"abstract_inverted_index":{"The":[0,18],"Painleve":[1,19,42,72,145],"equations":[2,20,43,73,146,157],"and":[3,12,15,87,110,147,155],"their":[4,28,75],"solutions":[5,29,61,152],"occur":[6],"in":[7,38,47,62,77],"some":[8,136],"areas":[9],"of":[10,50,59,66,70,97,102,105,113],"pure":[11],"applied":[13],"mathematics":[14],"theoretical":[16],"physics.":[17],"have":[21,32],"only":[22],"movable":[23],"singularities,":[24],"which":[25],"mean":[26],"that":[27,35],"do":[30],"not":[31],"any":[33],"singularities":[34],"are":[36,44],"fixed":[37],"position.":[39],"Thus,":[40],"the":[41,48,57,67,71,100,103,111,120,144,150],"particularly":[45],"useful":[46],"study":[49,101],"non-linear":[51,106],"systems,":[52],"as":[53,81],"they":[54],"allow":[55],"for":[56,139,153],"construction":[58],"exact":[60,151],"certain":[63],"cases.":[64],"One":[65],"important":[68],"features":[69],"is":[74],"appearance":[76],"diverse":[78],"fields":[79],"such":[80],"random":[82,108],"matrix":[83],"theory,":[84,86],"soliton":[85],"statistical":[88],"mechanics.":[89],"This":[90],"has":[91],"led":[92],"to":[93,143],"a":[94],"wide":[95],"range":[96],"applications,":[98],"including":[99],"behaviour":[104],"waves,":[107],"processes,":[109],"dynamics":[112],"fluids.":[114],"In":[115],"this":[116],"article,":[117],"by":[118],"using":[119],"mixed":[121],"variable":[122],"transformation":[123],"\u03c6":[124],"=":[125,128],"lny(X);":[126],"X":[127],"ax":[129],"+":[130,132],"bt":[131],"\u03b3,":[133],"we":[134,148],"derived":[135,158],"modified":[137],"formulas":[138],"sinh-Gordon":[140],"equation":[141],"reducible":[142],"found":[149],"them":[154],"other":[156],"from":[159],"them.":[160]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2024-04-04T00:00:00"}
