{"id":"https://openalex.org/W4409419643","doi":"https://doi.org/10.1140/epjp/s13360-025-06248-6","title":"Concatenation model: having the parabolic law in the presence of chromatic and spatio-temporal dispersion and investigation of multiplicative white noise effect via It\u00f4 calculus","display_name":"Concatenation model: having the parabolic law in the presence of chromatic and spatio-temporal dispersion and investigation of multiplicative white noise effect via It\u00f4 calculus","publication_year":2025,"publication_date":"2025-04-15","ids":{"openalex":"https://openalex.org/W4409419643","doi":"https://doi.org/10.1140/epjp/s13360-025-06248-6"},"language":"en","primary_location":{"id":"doi:10.1140/epjp/s13360-025-06248-6","doi":"https://doi.org/10.1140/epjp/s13360-025-06248-6","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-025-06248-6","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06248-6.pdf","source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Plus","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06248-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031931565","display_name":"Handenur Esen","orcid":"https://orcid.org/0000-0001-5186-5133","observed_orcids":["https://orcid.org/0000-0001-5186-5133"]},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Handenur Esen","raw_affiliation_strings":["Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057778609","display_name":"Ayd\u0131n Se\u00e7er","orcid":"https://orcid.org/0000-0002-8372-2441","observed_orcids":["https://orcid.org/0000-0002-8372-2441"]},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]},{"id":"https://openalex.org/I4210104933","display_name":"Biruni University","ror":"https://ror.org/01nkhmn89","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210104933"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Aydin Secer","raw_affiliation_strings":["Department of Computer Engineering, Biruni University, Istanbul, Turkey","Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Biruni University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4210104933"]},{"raw_affiliation_string":"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Muslum Ozisik","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Muslum Ozisik","raw_affiliation_strings":["Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086374499","display_name":"Mustafa Bayram","orcid":"https://orcid.org/0000-0002-2994-7201","observed_orcids":["https://orcid.org/0000-0002-2994-7201"]},"institutions":[{"id":"https://openalex.org/I4210104933","display_name":"Biruni University","ror":"https://ror.org/01nkhmn89","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210104933"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Mustafa Bayram","raw_affiliation_strings":["Department of Computer Engineering, Biruni University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-2994-7201","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Biruni University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4210104933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086374499"],"corresponding_institution_ids":["https://openalex.org/I4210104933"],"apc_list":{"value":3890,"currency":"USD","value_usd":3890},"apc_paid":{"value":3890,"currency":"USD","value_usd":3890},"fwci":0.8574,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69530913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"140","issue":"4","first_page":null,"last_page":null},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parabolic-rate-law","display_name":"parabolic rate law","score":0.7950000166893005},{"id":"https://openalex.org/keywords/chromatic-dispersion","display_name":"chromatic dispersion","score":0.9879999756813049},{"id":"https://openalex.org/keywords/spatio-temporal-dispersion","display_name":"spatio-temporal dispersion","score":0.9980000257492065},{"id":"https://openalex.org/keywords/multiplicative-white-noise","display_name":"multiplicative white noise","score":0.9549999833106995},{"id":"https://openalex.org/keywords/ito-calculus","display_name":"It\u00f4 calculus","score":0.9629999995231628},{"id":"https://openalex.org/keywords/kudryashov-method","display_name":"Kudryashov method","score":0.8050000071525574},{"id":"https://openalex.org/keywords/bright-solitons","display_name":"bright solitons","score":0.9039999842643738},{"id":"https://openalex.org/keywords/w-shaped-solitons","display_name":"W-shaped solitons","score":0.9599999785423279},{"id":"https://openalex.org/keywords/kink-solitons","display_name":"kink solitons","score":1.0},{"id":"https://openalex.org/keywords/sasa-satsuma-equation","display_name":"Sasa-Satsuma equation","score":0.8109999895095825},{"id":"https://openalex.org/keywords/lakshmanan-porsezian-daniel-equation","display_name":"Lakshmanan\u2013Porsezian\u2013Daniel equation","score":0.9959999918937683},{"id":"https://openalex.org/keywords/nonlinear-schrodinger-equation","display_name":"nonlinear Schr\u00f6dinger equation","score":0.9459999799728394},{"id":"https://openalex.org/keywords/optical-pulse-propagation","display_name":"optical pulse propagation","score":0.597000002861023}],"concepts":[{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.7072629332542419},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.6901772618293762},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.6224662661552429},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.574838399887085},{"id":"https://openalex.org/C56273599","wikidata":"https://www.wikidata.org/wiki/Q3122841","display_name":"White (mutation)","level":3,"score":0.5240174531936646},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.4975002110004425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45755282044410706},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.44570082426071167},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.33811575174331665},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33474427461624146},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3338617980480194},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3304517865180969},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2304876446723938},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21784359216690063},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15012773871421814},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.1445736289024353},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11821123957633972},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1140/epjp/s13360-025-06248-6","doi":"https://doi.org/10.1140/epjp/s13360-025-06248-6","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-025-06248-6","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06248-6.pdf","source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Plus","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1140/epjp/s13360-025-06248-6","doi":"https://doi.org/10.1140/epjp/s13360-025-06248-6","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-025-06248-6","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06248-6.pdf","source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Plus","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409419643.pdf","grobid_xml":"https://content.openalex.org/works/W4409419643.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W649794155","https://openalex.org/W1189909755","https://openalex.org/W2054167793","https://openalex.org/W2058446169","https://openalex.org/W2113448522","https://openalex.org/W2485771012","https://openalex.org/W2760821198","https://openalex.org/W2791122158","https://openalex.org/W2947224734","https://openalex.org/W3111124417","https://openalex.org/W3129981616","https://openalex.org/W3217594738","https://openalex.org/W4283122212","https://openalex.org/W4306250014","https://openalex.org/W4312073695","https://openalex.org/W4312201819","https://openalex.org/W4377261870","https://openalex.org/W4378194393","https://openalex.org/W4386028093","https://openalex.org/W4386932703","https://openalex.org/W4390264240","https://openalex.org/W4391708034","https://openalex.org/W4392404026","https://openalex.org/W4394012086"],"related_works":["https://openalex.org/W2373577936","https://openalex.org/W3095575180","https://openalex.org/W2389596151","https://openalex.org/W4221148444","https://openalex.org/W4226054107","https://openalex.org/W4387678054","https://openalex.org/W4306784355","https://openalex.org/W2784004155","https://openalex.org/W4246226292","https://openalex.org/W2150768546"],"abstract_inverted_index":{"Abstract":[0],"This":[1,23,94],"manuscript":[2],"focuses":[3],"on":[4,163],"the":[5,11,15,26,47,55,62,97,105,109,114,118,122,128,135,160,164],"stochastic":[6,42],"optical":[7,29],"soliton":[8,148],"solution":[9],"of":[10,28,57,74,104,108,117,137,147,166],"concatenation":[12],"model":[13,24],"having":[14],"parabolic":[16],"law":[17],"with":[18],"chromatic":[19],"and":[20,41,66,127,154],"spatio-temporal":[21],"dispersions.":[22],"characterizes":[25],"propagation":[27],"pulses":[30],"or":[31],"wave":[32,84],"packets":[33],"through":[34,134],"media":[35],"where":[36],"nonlinear":[37,59,63,90],"dispersion,":[38],"higher-order":[39],"effects,":[40],"influences":[43],"interact,":[44],"significantly":[45],"shaping":[46],"system\u2019s":[48],"dynamics.":[49],"The":[50,77],"\u201cconcatenation\u201d":[51],"concept":[52],"refers":[53],"to":[54,69,88,124],"combination":[56],"several":[58],"equations,":[60,68],"including":[61,150],"Schr\u00f6dinger,":[64],"Sasa\u2013Satsuma,":[65],"Lakshmanan\u2013Porsezian\u2013Daniel":[67],"capture":[70],"a":[71,83,89,101],"wide":[72],"range":[73],"physical":[75],"phenomena.":[76],"main":[78],"equation":[79,120,131],"is":[80],"transformed":[81],"using":[82],"transformation,":[85],"reducing":[86],"it":[87],"ordinary":[91],"differential":[92],"equation.":[93],"process":[95],"simplifies":[96],"original":[98],"equation,":[99],"enabling":[100],"clearer":[102],"comprehension":[103],"underlying":[106],"dynamics":[107,165],"system.":[110],"Thus,":[111],"we":[112,141,158],"retrieve":[113],"analytical":[115,139],"solutions":[116,149],"proposed":[119],"utilizing":[121],"addendum":[123],"Kudryashov\u2019s":[125],"method":[126],"Kudryashov":[129],"auxiliary":[130],"approach.":[132],"Additionally,":[133],"implementation":[136],"robust":[138],"methods,":[140],"systematically":[142],"derive":[143],"an":[144],"extensive":[145],"variety":[146],"bright,":[151],"W-shaped":[152],"like,":[153],"kink":[155],"solitons.":[156,167],"Moreover,":[157],"investigate":[159],"noise":[161],"effect":[162]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}