{"id":"https://openalex.org/W4384134342","doi":"https://doi.org/10.2478/ijmce-2023-0002","title":"Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods","display_name":"Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods","publication_year":2023,"publication_date":"2023-05-23","ids":{"openalex":"https://openalex.org/W4384134342","doi":"https://doi.org/10.2478/ijmce-2023-0002"},"language":"en","primary_location":{"id":"doi:10.2478/ijmce-2023-0002","doi":"https://doi.org/10.2478/ijmce-2023-0002","is_oa":true,"landing_page_url":"https://doi.org/10.2478/ijmce-2023-0002","pdf_url":"https://sciendo.com/pdf/10.2478/ijmce-2023-0002","source":{"id":"https://openalex.org/S4387291061","display_name":"International Journal of Mathematics and Computer in Engineering","issn_l":"2956-7068","issn":["2956-7068"],"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":"International Journal of Mathematics and Computer in Engineering","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://sciendo.com/pdf/10.2478/ijmce-2023-0002","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078121558","display_name":"Adnan Ahmad Mahmud","orcid":"https://orcid.org/0000-0001-7499-1896","observed_orcids":["https://orcid.org/0000-0001-7499-1896"]},"institutions":[{"id":"https://openalex.org/I80538482","display_name":"Harran University","ror":"https://ror.org/057qfs197","country_code":"TR","type":"education","lineage":["https://openalex.org/I80538482"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Adnan Ahmad Mahmud","raw_affiliation_strings":["Harran University, Faculty of Arts and Sciences , Department of Mathematics , \u00b8Sanl\u0131urfa , T\u00fcrkiye"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harran University, Faculty of Arts and Sciences , Department of Mathematics , \u00b8Sanl\u0131urfa , T\u00fcrkiye","institution_ids":["https://openalex.org/I80538482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051127038","display_name":"Tanfer Tanr\u0131verdi","orcid":"https://orcid.org/0000-0003-4686-1263","observed_orcids":["https://orcid.org/0000-0003-4686-1263"]},"institutions":[{"id":"https://openalex.org/I80538482","display_name":"Harran University","ror":"https://ror.org/057qfs197","country_code":"TR","type":"education","lineage":["https://openalex.org/I80538482"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Tanfer Tanriverdi","raw_affiliation_strings":["Harran University, Faculty of Arts and Sciences , Department of Mathematics , \u00b8Sanl\u0131urfa , T\u00fcrkiye"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harran University, Faculty of Arts and Sciences , Department of Mathematics , \u00b8Sanl\u0131urfa , T\u00fcrkiye","institution_ids":["https://openalex.org/I80538482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020808913","display_name":"Kalsum Abdulrahman Muhamad","orcid":"https://orcid.org/0000-0002-9328-8941","observed_orcids":["https://orcid.org/0000-0002-9328-8941"]},"institutions":[{"id":"https://openalex.org/I80538482","display_name":"Harran University","ror":"https://ror.org/057qfs197","country_code":"TR","type":"education","lineage":["https://openalex.org/I80538482"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Kalsum Abdulrahman Muhamad","raw_affiliation_strings":["Harran University, Faculty of Arts and Sciences , Department of Mathematics , \u00b8Sanl\u0131urfa , T\u00fcrkiye"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harran University, Faculty of Arts and Sciences , Department of Mathematics , \u00b8Sanl\u0131urfa , T\u00fcrkiye","institution_ids":["https://openalex.org/I80538482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078121558"],"corresponding_institution_ids":["https://openalex.org/I80538482"],"apc_list":null,"apc_paid":null,"fwci":6.0077,"has_fulltext":true,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98046246,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"1","issue":"1","first_page":"11","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.0,"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/konopelchenko-dubrovsky-equation","display_name":"Konopelchenko-Dubrovsky equation","score":0.9860000014305115},{"id":"https://openalex.org/keywords/traveling-wave-solutions","display_name":"traveling wave solutions","score":0.9769999980926514},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.6380000114440918},{"id":"https://openalex.org/keywords/modified-extended-tanh-function-method","display_name":"modified extended tanh-function method","score":0.9919999837875366},{"id":"https://openalex.org/keywords/solitary-waves","display_name":"solitary waves","score":0.8199999928474426},{"id":"https://openalex.org/keywords/periodic-waves","display_name":"periodic waves","score":0.9829999804496765},{"id":"https://openalex.org/keywords/nonlinear-evolution-equations","display_name":"nonlinear evolution equations","score":0.6949999928474426}],"concepts":[{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.8980445861816406},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.7997603416442871},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.7899031639099121},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.7130964994430542},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.6836990118026733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5945142507553101},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5890747308731079},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5776703357696533},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.558005690574646},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5221300721168518},{"id":"https://openalex.org/C2993172089","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Periodic wave","level":3,"score":0.4826582074165344},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4749574661254883},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4682800769805908},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4634115397930145},{"id":"https://openalex.org/C164897557","wikidata":"https://www.wikidata.org/wiki/Q7250037","display_name":"Proofs of trigonometric identities","level":5,"score":0.442246675491333},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4305824637413025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3853053152561188},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.15879526734352112},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14445817470550537},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1382819414138794},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2478/ijmce-2023-0002","doi":"https://doi.org/10.2478/ijmce-2023-0002","is_oa":true,"landing_page_url":"https://doi.org/10.2478/ijmce-2023-0002","pdf_url":"https://sciendo.com/pdf/10.2478/ijmce-2023-0002","source":{"id":"https://openalex.org/S4387291061","display_name":"International Journal of Mathematics and Computer in Engineering","issn_l":"2956-7068","issn":["2956-7068"],"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":"International Journal of Mathematics and Computer in Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/ijmce-2023-0002","doi":"https://doi.org/10.2478/ijmce-2023-0002","is_oa":true,"landing_page_url":"https://doi.org/10.2478/ijmce-2023-0002","pdf_url":"https://sciendo.com/pdf/10.2478/ijmce-2023-0002","source":{"id":"https://openalex.org/S4387291061","display_name":"International Journal of Mathematics and Computer in Engineering","issn_l":"2956-7068","issn":["2956-7068"],"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":"International Journal of Mathematics and Computer in Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384134342.pdf","grobid_xml":"https://content.openalex.org/works/W4384134342.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1971169529","https://openalex.org/W1997851749","https://openalex.org/W2053559632","https://openalex.org/W2081373709","https://openalex.org/W2159567210","https://openalex.org/W2526874888","https://openalex.org/W2769717789","https://openalex.org/W2809626287","https://openalex.org/W2948956629","https://openalex.org/W2972303532","https://openalex.org/W3000304670","https://openalex.org/W3027528743","https://openalex.org/W3029284901","https://openalex.org/W3040845152","https://openalex.org/W3197785587","https://openalex.org/W3203371859","https://openalex.org/W3204293349","https://openalex.org/W3208640828","https://openalex.org/W3214990695","https://openalex.org/W4200053212","https://openalex.org/W4220690969","https://openalex.org/W4220733322","https://openalex.org/W4224250381","https://openalex.org/W4288428764","https://openalex.org/W4289943682","https://openalex.org/W4293168509","https://openalex.org/W4293918140","https://openalex.org/W4312843011","https://openalex.org/W4313334300","https://openalex.org/W4317537884","https://openalex.org/W4323044266","https://openalex.org/W4323357584","https://openalex.org/W4324046590"],"related_works":["https://openalex.org/W2004885044","https://openalex.org/W1621683435","https://openalex.org/W2076203728","https://openalex.org/W4411567734","https://openalex.org/W2007346923","https://openalex.org/W7097271282","https://openalex.org/W2389768013","https://openalex.org/W1974900898","https://openalex.org/W3110159888","https://openalex.org/W2081373709"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"research,":[3],"the":[4,10,22,37,48,64,82,106,112],"extended":[5,12],"rational":[6,78],"sinh-cosh":[7],"method":[8,14],"and":[9,59,77,90],"modified":[11],"tanh-function":[13],"for":[15,36,63],"mathematically":[16],"constructing":[17],"traveling":[18,41],"wave":[19,42,61],"solutions":[20,35,62,84],"to":[21,31,46,97],"(2+1)-dimensional":[23],"integro-differential":[24],"Konopelchenko-Dubrovsky":[25],"evolution":[26,110],"equation":[27],"are":[28,68],"successfully":[29],"employed":[30],"obtain":[32],"specific":[33],"appropriate":[34,94],"first":[38],"time.":[39],"A":[40],"transformation":[43],"was":[44],"utilized":[45],"turn":[47],"provided":[49],"model":[50,65],"into":[51],"a":[52],"third-order":[53],"nonlinear":[54],"ordinary":[55],"differential":[56],"equation.":[57],"Solitary":[58],"periodic":[60],"under":[66],"investigation":[67],"obtained":[69],"in":[70],"terms":[71],"of":[72,81,108],"various":[73],"complex":[74],"hyperbolic":[75],"trigonometric":[76],"functions.":[79],"Several":[80],"aforementioned":[83],"have":[85,104],"been":[86],"represented":[87],"by":[88],"two-":[89],"three-dimensional":[91],"graphics":[92],"with":[93],"arbitrary":[95],"parameters":[96],"highlight":[98],"their":[99],"physical":[100],"implications.":[101],"Two-dimensional":[102],"graphs":[103],"presented":[105],"influence":[107],"time":[109],"on":[111],"solution\u2019s":[113],"structures.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":24}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-07-14T00:00:00"}
