{"id":"https://openalex.org/W4394015397","doi":"https://doi.org/10.1016/j.padiff.2024.100672","title":"Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation","display_name":"Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation","publication_year":2024,"publication_date":"2024-04-06","ids":{"openalex":"https://openalex.org/W4394015397","doi":"https://doi.org/10.1016/j.padiff.2024.100672"},"language":"en","primary_location":{"id":"doi:10.1016/j.padiff.2024.100672","doi":"https://doi.org/10.1016/j.padiff.2024.100672","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.padiff.2024.100672","pdf_url":null,"source":{"id":"https://openalex.org/S4210214501","display_name":"Partial Differential Equations in Applied Mathematics","issn_l":"2666-8181","issn":["2666-8181"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations in Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.padiff.2024.100672","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049699734","display_name":"Sirasrete Phoosree","orcid":"https://orcid.org/0000-0002-5201-6034","observed_orcids":["https://orcid.org/0000-0002-5201-6034"]},"institutions":[{"id":"https://openalex.org/I4210092041","display_name":"Suratthani Rajabhat University","ror":"https://ror.org/00mmgx583","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210092041"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Sirasrete Phoosree","raw_affiliation_strings":["Education Program in Mathematics, Faculty of Education, Suratthani Rajabhat University, Suratthani 84100, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Education Program in Mathematics, Faculty of Education, Suratthani Rajabhat University, Suratthani 84100, Thailand","institution_ids":["https://openalex.org/I4210092041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023450888","display_name":"Nattinee Khongnual","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210160017","display_name":"Nakhon Si Thammarat Rajabhat University","ror":"https://ror.org/04cdsn556","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210160017"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Nattinee Khongnual","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Technology, Nakhon Si Thammarat Rajabhat University, Nakhon Si Thammarat, 80280, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Technology, Nakhon Si Thammarat Rajabhat University, Nakhon Si Thammarat, 80280, Thailand","institution_ids":["https://openalex.org/I4210160017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081090891","display_name":"Jiraporn Sanjun","orcid":"https://orcid.org/0009-0001-2762-8098","observed_orcids":["https://orcid.org/0009-0001-2762-8098"]},"institutions":[{"id":"https://openalex.org/I4210092041","display_name":"Suratthani Rajabhat University","ror":"https://ror.org/00mmgx583","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210092041"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Jiraporn Sanjun","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Technology, Suratthani Rajabhat University, Suratthani, 84100, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Technology, Suratthani Rajabhat University, Suratthani, 84100, Thailand","institution_ids":["https://openalex.org/I4210092041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066215174","display_name":"Athassawat Kammanee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I131868736","display_name":"Prince of Songkla University","ror":"https://ror.org/0575ycz84","country_code":"TH","type":"education","lineage":["https://openalex.org/I131868736"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Athassawat Kammanee","raw_affiliation_strings":["Division of Computational Science (Mathematics), Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, 90110, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Computational Science (Mathematics), Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, 90110, Thailand","institution_ids":["https://openalex.org/I131868736"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004841268","display_name":"Weerachai Thadee","orcid":"https://orcid.org/0000-0003-0419-6613","observed_orcids":["https://orcid.org/0000-0003-0419-6613"]},"institutions":[{"id":"https://openalex.org/I73668669","display_name":"Rajamangala University of Technology Srivijaya","ror":"https://ror.org/02knhje64","country_code":"TH","type":"education","lineage":["https://openalex.org/I10245363","https://openalex.org/I73668669"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Weerachai Thadee","raw_affiliation_strings":["Department of General Education, Faculty of Liberal Arts, Rajamangala University of Technology Srivijaya, Songkhla 90000, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-0419-6613","affiliations":[{"raw_affiliation_string":"Department of General Education, Faculty of Liberal Arts, Rajamangala University of Technology Srivijaya, Songkhla 90000, Thailand","institution_ids":["https://openalex.org/I73668669"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004841268"],"corresponding_institution_ids":["https://openalex.org/I73668669"],"apc_list":{"value":1230,"currency":"USD","value_usd":1230},"apc_paid":{"value":1230,"currency":"USD","value_usd":1230},"fwci":3.1133,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.93139543,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"10","issue":null,"first_page":"100672","last_page":"100672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.8881999850273132,"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":0.8881999850273132,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.10520000010728836,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0006000000284984708,"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/analytical-solution","display_name":"analytical solution","score":0.8019999861717224},{"id":"https://openalex.org/keywords/generalized-hyperbolic-functions","display_name":"generalized hyperbolic functions","score":0.8790000081062317},{"id":"https://openalex.org/keywords/kink-waves","display_name":"kink waves","score":0.8360000252723694},{"id":"https://openalex.org/keywords/periodic-waves","display_name":"periodic waves","score":0.8090000152587891},{"id":"https://openalex.org/keywords/nonlinear-evolution-equations","display_name":"nonlinear evolution equations","score":0.5130000114440918}],"concepts":[{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.8481550216674805},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5569729208946228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4908171594142914},{"id":"https://openalex.org/C159785203","wikidata":"https://www.wikidata.org/wiki/Q6345653","display_name":"Kadomtsev\u2013Petviashvili equation","level":4,"score":0.46435144543647766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44782060384750366},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4314941167831421},{"id":"https://openalex.org/C108779253","wikidata":"https://www.wikidata.org/wiki/Q5282591","display_name":"Dispersive partial differential equation","level":3,"score":0.4212581515312195},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4194294214248657},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39947187900543213},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3309208154678345},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3249017000198364},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2958257794380188},{"id":"https://openalex.org/C53744967","wikidata":"https://www.wikidata.org/wiki/Q1062971","display_name":"Characteristic equation","level":3,"score":0.2658592462539673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06411954760551453},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.padiff.2024.100672","doi":"https://doi.org/10.1016/j.padiff.2024.100672","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.padiff.2024.100672","pdf_url":null,"source":{"id":"https://openalex.org/S4210214501","display_name":"Partial Differential Equations in Applied Mathematics","issn_l":"2666-8181","issn":["2666-8181"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:050195e66aaf4c9099d1619de3756087","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/050195e66aaf4c9099d1619de3756087","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100672- (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.padiff.2024.100672","doi":"https://doi.org/10.1016/j.padiff.2024.100672","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.padiff.2024.100672","pdf_url":null,"source":{"id":"https://openalex.org/S4210214501","display_name":"Partial Differential Equations in Applied Mathematics","issn_l":"2666-8181","issn":["2666-8181"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1966553738","https://openalex.org/W1990934669","https://openalex.org/W1994296806","https://openalex.org/W1997128653","https://openalex.org/W2042777806","https://openalex.org/W2091107974","https://openalex.org/W2766762077","https://openalex.org/W2995142349","https://openalex.org/W3094112009","https://openalex.org/W3186760295","https://openalex.org/W3197750020","https://openalex.org/W4280571698","https://openalex.org/W4292409664","https://openalex.org/W4293254610","https://openalex.org/W4296360172","https://openalex.org/W4297200413","https://openalex.org/W4298111641","https://openalex.org/W4307687351","https://openalex.org/W4353057812","https://openalex.org/W4363651501","https://openalex.org/W4378648159","https://openalex.org/W4385349128","https://openalex.org/W4385979174","https://openalex.org/W4386028094","https://openalex.org/W4386695560","https://openalex.org/W4386695778","https://openalex.org/W4389704381","https://openalex.org/W4389902871","https://openalex.org/W6661050667","https://openalex.org/W6859667606","https://openalex.org/W7006744597"],"related_works":["https://openalex.org/W4408820347","https://openalex.org/W7219363442","https://openalex.org/W1492208413","https://openalex.org/W1803427376","https://openalex.org/W2036791637","https://openalex.org/W2555363413","https://openalex.org/W2756452118","https://openalex.org/W2118308885","https://openalex.org/W4393309121","https://openalex.org/W1983676812"],"abstract_inverted_index":{"In":[0,24],"the":[1,6,16,29,35,42,47,54,79,94,102],"field":[2],"of":[3,19,41,56,81,93,97,104],"mathematical":[4],"physics,":[5,61],"Riccati":[7,30],"sub-equation":[8,31],"method":[9,32],"is":[10,100],"an":[11],"important":[12],"tool":[13],"for":[14,33],"locating":[15],"analytical":[17,66],"solutions":[18],"nonlinear":[20],"space\u2013time":[21,36],"fractional":[22,37],"equations.":[23],"this":[25],"study,":[26],"we":[27],"provide":[28],"solving":[34],"equation":[38,45,71],"by":[39],"means":[40],"Ablowitz-Kaup-Newell-Segur":[43],"(AKNS)":[44],"and":[46,59,63,88,107,115],"generalized":[48,82,85],"Zakharov-Kuznetsov-Benjamin\u2013Bona\u2013Mahony":[49],"(GZK-BBM)":[50],"equation,":[51],"which":[52,76,110],"explain":[53],"effect":[55,92],"flood":[57],"waves":[58,106],"plasma":[60],"respectively,":[62],"reach":[64],"new":[65],"solutions,":[67,75],"including":[68],"parameters.":[69],"Each":[70],"yields":[72],"fifteen":[73],"different":[74],"are":[77,111],"in":[78,101,113],"form":[80,103],"hyperbolic":[83],"functions,":[84,87],"triangular":[86],"rational":[89],"functions.":[90],"The":[91],"arising":[95],"graphs":[96],"both":[98],"equations":[99],"kink":[105],"periodic":[108],"waves,":[109],"presented":[112],"2D":[114],"3D":[116],"graphs.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-04-07T00:00:00"}