{"id":"https://openalex.org/W4210493872","doi":"https://doi.org/10.3390/sym14020224","title":"Cubic\u2013Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan\u2013Porsezian\u2013Daniel Model by Lie Symmetry","display_name":"Cubic\u2013Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan\u2013Porsezian\u2013Daniel Model by Lie Symmetry","publication_year":2022,"publication_date":"2022-01-24","ids":{"openalex":"https://openalex.org/W4210493872","doi":"https://doi.org/10.3390/sym14020224"},"language":"en","primary_location":{"id":"doi:10.3390/sym14020224","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020224","pdf_url":"https://www.mdpi.com/2073-8994/14/2/224/pdf?version=1643023847","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/2/224/pdf?version=1643023847","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060455509","display_name":"Sachin Kumar","orcid":"https://orcid.org/0000-0001-6883-7788"},"institutions":[{"id":"https://openalex.org/I114724429","display_name":"Central University of Punjab","ror":"https://ror.org/02kknsa06","country_code":"IN","type":"education","lineage":["https://openalex.org/I114724429"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sachin Kumar","raw_affiliation_strings":["Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, India","institution_ids":["https://openalex.org/I114724429"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020005824","display_name":"Anjan Biswas","orcid":"https://orcid.org/0000-0002-8131-6044"},"institutions":[{"id":"https://openalex.org/I176692203","display_name":"Alabama Agricultural and Mechanical University","ror":"https://ror.org/05hz8m414","country_code":"US","type":"education","lineage":["https://openalex.org/I176692203"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I2802393258","display_name":"Sefako Makgatho Health Sciences University","ror":"https://ror.org/003hsr719","country_code":"ZA","type":"education","lineage":["https://openalex.org/I2802393258"]},{"id":"https://openalex.org/I3122748864","display_name":"\"Dunarea de Jos\" University of Galati","ror":"https://ror.org/052sta926","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122748864"]},{"id":"https://openalex.org/I887846188","display_name":"National Research Nuclear University MEPhI","ror":"https://ror.org/04w8z7f34","country_code":"RU","type":"education","lineage":["https://openalex.org/I887846188"]}],"countries":["RO","RU","SA","US","ZA"],"is_corresponding":false,"raw_author_name":"Anjan Biswas","raw_affiliation_strings":["Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia","Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania","Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa","Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA","Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia","institution_ids":["https://openalex.org/I887846188"]},{"raw_affiliation_string":"Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania","institution_ids":["https://openalex.org/I3122748864"]},{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa","institution_ids":["https://openalex.org/I2802393258"]},{"raw_affiliation_string":"Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA","institution_ids":["https://openalex.org/I176692203"]},{"raw_affiliation_string":"Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017583667","display_name":"Yakup Y\u0131ld\u0131r\u0131m","orcid":"https://orcid.org/0000-0003-4443-3337"},"institutions":[{"id":"https://openalex.org/I69050122","display_name":"Near East University","ror":"https://ror.org/02x8svs93","country_code":"CY","type":"education","lineage":["https://openalex.org/I69050122"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Yakup Y\u0131ld\u0131r\u0131m","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus","institution_ids":["https://openalex.org/I69050122"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035935386","display_name":"Lumini\u021ba Moraru","orcid":"https://orcid.org/0000-0002-9121-5714"},"institutions":[{"id":"https://openalex.org/I3122748864","display_name":"\"Dunarea de Jos\" University of Galati","ror":"https://ror.org/052sta926","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122748864"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Luminita Moraru","raw_affiliation_strings":["Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania","institution_ids":["https://openalex.org/I3122748864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082973301","display_name":"Simona Moldovanu","orcid":"https://orcid.org/0000-0002-5934-329X"},"institutions":[{"id":"https://openalex.org/I3122748864","display_name":"\"Dunarea de Jos\" University of Galati","ror":"https://ror.org/052sta926","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122748864"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Simona Moldovanu","raw_affiliation_strings":["Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania","institution_ids":["https://openalex.org/I3122748864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045924981","display_name":"Hashim M. Alshehri","orcid":"https://orcid.org/0009-0001-2659-0155"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hashim M. Alshehri","raw_affiliation_strings":["Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050428648","display_name":"Dalal Adnan Maturi","orcid":"https://orcid.org/0000-0002-8432-4920"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Dalal Adnan Maturi","raw_affiliation_strings":["Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084379442","display_name":"Dalal H. Al-Bogami","orcid":null},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Dalal H. Al-Bogami","raw_affiliation_strings":["Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":7,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5035935386"],"corresponding_institution_ids":["https://openalex.org/I3122748864"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.9984,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73996582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"14","issue":"2","first_page":"224","last_page":"224"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.7427445650100708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.7265523672103882},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5251286029815674},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.49463173747062683},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.48546841740608215},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.47639766335487366},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3393622040748596},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.3363059461116791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14914116263389587},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12591561675071716},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12288150191307068},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10335823893547058}],"concepts":[{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.7427445650100708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7265523672103882},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5251286029815674},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.49463173747062683},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.48546841740608215},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.47639766335487366},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3393622040748596},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3363059461116791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14914116263389587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12591561675071716},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12288150191307068},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10335823893547058}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14020224","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020224","pdf_url":"https://www.mdpi.com/2073-8994/14/2/224/pdf?version=1643023847","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3debaa91d0a04ac98ec51f08ef5e4307","is_oa":true,"landing_page_url":"https://doaj.org/article/3debaa91d0a04ac98ec51f08ef5e4307","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 2, p 224 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/2/224/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14020224","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14020224","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020224","pdf_url":"https://www.mdpi.com/2073-8994/14/2/224/pdf?version=1643023847","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210493872.pdf","grobid_xml":"https://content.openalex.org/works/W4210493872.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2064211044","https://openalex.org/W2883937208","https://openalex.org/W2889081156","https://openalex.org/W2903045181","https://openalex.org/W2925574017","https://openalex.org/W2996232901","https://openalex.org/W3113071155","https://openalex.org/W3119875423","https://openalex.org/W3131391115","https://openalex.org/W3157647860","https://openalex.org/W3193429021","https://openalex.org/W3196491169","https://openalex.org/W3201478446","https://openalex.org/W6700262250","https://openalex.org/W7010121751"],"related_works":["https://openalex.org/W2000297171","https://openalex.org/W2777256819","https://openalex.org/W4221159894","https://openalex.org/W4297058887","https://openalex.org/W4299284326","https://openalex.org/W4307280152","https://openalex.org/W4225346682","https://openalex.org/W2991583270","https://openalex.org/W2915933070","https://openalex.org/W2949665469"],"abstract_inverted_index":{"This":[0],"paper":[1],"employs":[2],"Lie":[3],"symmetry":[4],"analysis":[5],"to":[6,12,24],"recover":[7],"cubic\u2013quartic":[8],"optical":[9,40],"soliton":[10],"solutions":[11],"the":[13,25,30,45],"Lakshmanan\u2013Porsezian\u2013Daniel":[14],"model":[15,32],"in":[16,33],"birefringent":[17],"fibers.":[18,35],"The":[19],"results":[20],"are":[21,47],"a":[22],"sequel":[23],"previously":[26],"reported":[27],"work":[28],"on":[29],"same":[31],"unpolarized":[34],"Dark,":[36],"singular,":[37],"and":[38],"straddled":[39],"solitons":[41],"that":[42],"emerged":[43],"from":[44],"scheme":[46],"presented.":[48]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
