{"id":"https://openalex.org/W4389939874","doi":"https://doi.org/10.1155/2023/2549560","title":"Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation","display_name":"Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation","publication_year":2023,"publication_date":"2023-12-19","ids":{"openalex":"https://openalex.org/W4389939874","doi":"https://doi.org/10.1155/2023/2549560"},"language":"en","primary_location":{"id":"doi:10.1155/2023/2549560","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/2549560","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/2549560.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2023/2549560.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070059606","display_name":"F. Waffo Tchuimmo","orcid":null},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"F. Waffo Tchuimmo","raw_affiliation_strings":["Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031650353","display_name":"J. B. Gonpe Tafo","orcid":null},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"J. B. Gonpe Tafo","raw_affiliation_strings":["Department of Base Scientific Education, Advanced Teacher\u2019s Training College of the Technical Education, University of Douala, P.O. Box 8213, Douala, Cameroon","Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon"],"raw_orcid":"https://orcid.org/0009-0007-5803-5184","affiliations":[{"raw_affiliation_string":"Department of Base Scientific Education, Advanced Teacher\u2019s Training College of the Technical Education, University of Douala, P.O. Box 8213, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]},{"raw_affiliation_string":"Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058345163","display_name":"Andr\u00e9 Ch\u00e9ag\u00e9 Chamgou\u00e9","orcid":"https://orcid.org/0000-0002-7422-8839"},"institutions":[{"id":"https://openalex.org/I59196294","display_name":"University of Ngaound\u00e9r\u00e9","ror":"https://ror.org/03gq1d339","country_code":"CM","type":"education","lineage":["https://openalex.org/I59196294"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"A. Chamgoue","raw_affiliation_strings":["Department of Physics, School of Geology and Mining Engineering, University of Ngaound\u00e9r\u00e9, P.O. Box 115 Meiganga, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, School of Geology and Mining Engineering, University of Ngaound\u00e9r\u00e9, P.O. Box 115 Meiganga, Cameroon","institution_ids":["https://openalex.org/I59196294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019296586","display_name":"N. C. Tsague Mezamo","orcid":null},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"N. C. Tsague Mezamo","raw_affiliation_strings":["Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088986185","display_name":"Fabien Kenmogn\u00e9","orcid":"https://orcid.org/0000-0001-6440-3579"},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"F. Kenmogne","raw_affiliation_strings":["Department of Civil Engineering, Advanced Teacher\u2019s Training College of the Technical Education, University of Douala, P.O. Box 8213, Douala, Cameroon"],"raw_orcid":"https://orcid.org/0000-0001-6440-3579","affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Advanced Teacher\u2019s Training College of the Technical Education, University of Douala, P.O. Box 8213, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057905787","display_name":"Laurent Nana","orcid":"https://orcid.org/0000-0002-3473-6521"},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"L. Nana","raw_affiliation_strings":["Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, Pure Physics, Laboratory, Group of Nonlinear Physics and Complex Systems, University of Douala, P.O. Box 24157, Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5031650353"],"corresponding_institution_ids":["https://openalex.org/I163423212"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20911737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2023","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.996399998664856,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.989799976348877,"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/phase-portrait","display_name":"Phase portrait","score":0.9276100397109985},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.8477650284767151},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.7199550271034241},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6248378157615662},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6095114350318909},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.547118604183197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5298542380332947},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5234752893447876},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4790412187576294},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4535934627056122},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.44657012820243835},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.43449318408966064},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4073716104030609},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4066760540008545},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1571248471736908}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.9276100397109985},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.8477650284767151},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.7199550271034241},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6248378157615662},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6095114350318909},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.547118604183197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5298542380332947},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5234752893447876},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4790412187576294},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4535934627056122},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.44657012820243835},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.43449318408966064},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4073716104030609},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4066760540008545},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1571248471736908}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2023/2549560","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/2549560","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/2549560.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:2549560","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jam/2023/2549560.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:15ee975b8431470db15ff527fee87a60","is_oa":true,"landing_page_url":"https://doaj.org/article/15ee975b8431470db15ff527fee87a60","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,"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":"Journal of Applied Mathematics, Vol 2023 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2023/2549560","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/2549560","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/2549560.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4389939874.pdf"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1601723819","https://openalex.org/W1977387163","https://openalex.org/W1988923928","https://openalex.org/W2002094651","https://openalex.org/W2005009028","https://openalex.org/W2017240227","https://openalex.org/W2037401104","https://openalex.org/W2055544973","https://openalex.org/W2080011055","https://openalex.org/W2086126894","https://openalex.org/W2088816238","https://openalex.org/W2091641219","https://openalex.org/W2092834703","https://openalex.org/W2094822755","https://openalex.org/W2160092628","https://openalex.org/W2221307806","https://openalex.org/W2313715098","https://openalex.org/W2430494926","https://openalex.org/W2487709139","https://openalex.org/W2766945832","https://openalex.org/W2770604782","https://openalex.org/W2904721975","https://openalex.org/W2917998272","https://openalex.org/W2938568211","https://openalex.org/W3046062527","https://openalex.org/W3048399474","https://openalex.org/W3110760053","https://openalex.org/W3112380629","https://openalex.org/W3133926701","https://openalex.org/W3168017910","https://openalex.org/W3177485971","https://openalex.org/W3187399531","https://openalex.org/W3204639451","https://openalex.org/W4213417483","https://openalex.org/W4221121898","https://openalex.org/W4230941884","https://openalex.org/W4280640924","https://openalex.org/W4289981527","https://openalex.org/W4296041398","https://openalex.org/W4297362474","https://openalex.org/W4308858314","https://openalex.org/W4376956901"],"related_works":["https://openalex.org/W2087738709","https://openalex.org/W593157217","https://openalex.org/W4389939874","https://openalex.org/W3110175929","https://openalex.org/W2046456262","https://openalex.org/W2792287411","https://openalex.org/W2310202934","https://openalex.org/W2623381607","https://openalex.org/W2891479239","https://openalex.org/W2791213815"],"abstract_inverted_index":{"The":[0,85,212],"dynamical":[1],"behaviour":[2],"of":[3,9,27,43,45,73,87,100,109,141,144,147,165,200,206,215],"traveling":[4],"waves":[5],"in":[6,181,185,226],"a":[7,25,30,145,166],"class":[8],"two-dimensional":[10,16,56],"system":[11],"whose":[12],"amplitude":[13],"obeys":[14],"the":[15,34,41,46,55,62,98,107,117,133,139,142,156,163,178,198,203,207,227],"complex":[17,57],"cubic-quintic":[18,58],"Ginzburg-Landau":[19,59],"equation":[20,60,96],"is":[21,37,51,97,210],"deeply":[22],"studied":[23],"as":[24,220,222],"function":[26],"parameters":[28],"near":[29],"subcritical":[31],"bifurcation.":[32],"Then,":[33],"bifurcation":[35],"method":[36],"used":[38],"to":[39,53,61,120,132],"predict":[40,177],"nature":[42,108],"solutions":[44,180,208,217],"considered":[47],"wave":[48,186],"equation.":[49],"It":[50],"applied":[52],"reduce":[54],"quintic":[63],"nonlinear":[64],"ordinary":[65,94],"differential":[66,95],"equation,":[67],"easily":[68],"solvable.":[69],"Under":[70],"some":[71,113],"constraints":[72],"parameters,":[74,114,155],"equilibrium":[75,110,160],"points":[76,161],"are":[77,172,218],"obtained":[78,91],"and":[79,124,175],"phase":[80,89],"portraits":[81,90],"have":[82],"been":[83],"plotted.":[84],"particularity":[86],"these":[88,216],"for":[92,153],"new":[93],"existence":[99,140,164],"homoclinic":[101],"or":[102,190],"heteroclinic":[103],"orbits":[104,118,157],"depending":[105,196],"on":[106,197],"points.":[111],"For":[112],"one":[115,121],"has":[116,151],"starting":[119],"fixed":[122,128,135],"point":[123,129],"passing":[125],"through":[126],"another":[127],"before":[130],"returning":[131],"same":[134,179],"point,":[136],"predicting":[137,162],"then":[138],"combination":[143],"pair":[146],"pulse-dark":[148],"soliton.":[149],"One":[150],"also":[152],"other":[154],"linking":[158],"three":[159],"dark":[167],"soliton":[168],"pair.":[169],"These":[170],"results":[171],"very":[173],"important":[174],"can":[176],"many":[182],"domains,":[183],"particularly":[184],"phenomena,":[187],"mechanical":[188],"systems,":[189,202],"laterally":[191],"heated":[192],"fluid":[193],"layers.":[194],"Moreover,":[195],"values":[199],"parameter":[201],"analytical":[204],"expression":[205],"predicted":[209],"found.":[211],"three-dimensional":[213],"graphs":[214],"plotted":[219],"well":[221],"their":[223],"2D":[224],"plots":[225],"propagation":[228],"direction.":[229]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
