{"id":"https://openalex.org/W3216705166","doi":"https://doi.org/10.1016/j.rinp.2021.105015","title":"Monochromatic optical beam propagation of paraxial dynamical model in Kerr media","display_name":"Monochromatic optical beam propagation of paraxial dynamical model in Kerr media","publication_year":2021,"publication_date":"2021-11-27","ids":{"openalex":"https://openalex.org/W3216705166","doi":"https://doi.org/10.1016/j.rinp.2021.105015","mag":"3216705166"},"language":"en","primary_location":{"id":"doi:10.1016/j.rinp.2021.105015","doi":"https://doi.org/10.1016/j.rinp.2021.105015","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinp.2021.105015","pdf_url":null,"source":{"id":"https://openalex.org/S2764941219","display_name":"Results in Physics","issn_l":"2211-3797","issn":["2211-3797"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","oarl","poland-70"],"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":"Results in Physics","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.rinp.2021.105015","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013313431","display_name":"Hamood Ur Rehman","orcid":"https://orcid.org/0000-0002-7338-6288","observed_orcids":["https://orcid.org/0000-0002-7338-6288"]},"institutions":[{"id":"https://openalex.org/I3130814776","display_name":"University of Okara","ror":"https://ror.org/02fmg6q11","country_code":"PK","type":"education","lineage":["https://openalex.org/I3130814776"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Hamood Ur Rehman","raw_affiliation_strings":["Department of Mathematics, University of Okara, Okara, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Okara, Okara, Pakistan","institution_ids":["https://openalex.org/I3130814776"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061661736","display_name":"ALY RAMADAN SEADAWY","orcid":"https://orcid.org/0000-0002-7412-4773","observed_orcids":["https://orcid.org/0000-0002-7412-4773","https://orcid.org/0000-0002-6439-7030"]},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Aly R. Seadawy","raw_affiliation_strings":["Mathematics Department, Faculty of Sciences, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-6439-7030","affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Sciences, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070791672","display_name":"Muhammad Younis","orcid":"https://orcid.org/0000-0002-8547-7478","observed_orcids":["https://orcid.org/0000-0002-8547-7478"]},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"M. Younis","raw_affiliation_strings":["Department of Computer Science, University of the Punjab, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of the Punjab, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064939212","display_name":"Sadia Yasin","orcid":"https://orcid.org/0009-0002-6362-2504","observed_orcids":["https://orcid.org/0009-0002-6362-2504"]},"institutions":[{"id":"https://openalex.org/I3130814776","display_name":"University of Okara","ror":"https://ror.org/02fmg6q11","country_code":"PK","type":"education","lineage":["https://openalex.org/I3130814776"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"S. Yasin","raw_affiliation_strings":["Department of Mathematics, University of Okara, Okara, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Okara, Okara, Pakistan","institution_ids":["https://openalex.org/I3130814776"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025445995","display_name":"Syed T.R. Raza","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I4405286083","display_name":"COMSATS University Islamabad, Lahore Campus","ror":"https://ror.org/012zjsd73","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960","https://openalex.org/I4405286083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Syed T.R. Raza","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan","institution_ids":["https://openalex.org/I16076960","https://openalex.org/I4405286083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000454583","display_name":"Saad Althobaiti","orcid":"https://orcid.org/0000-0003-2678-2066","observed_orcids":["https://orcid.org/0000-0003-2678-2066"]},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Saad Althobaiti","raw_affiliation_strings":["Department of Sciences and Technology, Ranyah University Collage, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Sciences and Technology, Ranyah University Collage, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5061661736"],"corresponding_institution_ids":["https://openalex.org/I23075662"],"apc_list":{"value":1200,"currency":"USD","value_usd":1200},"apc_paid":{"value":1200,"currency":"USD","value_usd":1200},"fwci":3.4325,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.94295451,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"31","issue":null,"first_page":"105015","last_page":"105015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9682999849319458,"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":0.9682999849319458,"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":0.022199999541044235,"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":0.0017000000225380063,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parabolic-wave-equation","display_name":"paraxial wave equation","score":0.9229999780654907},{"id":"https://openalex.org/keywords/optical-kerr-effect","display_name":"optical Kerr effect","score":0.8799999952316284},{"id":"https://openalex.org/keywords/kerr-medium","display_name":"Kerr medium","score":0.7149999737739563},{"id":"https://openalex.org/keywords/soliton-solutions","display_name":"soliton solutions","score":0.8410000205039978},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.7120000123977661},{"id":"https://openalex.org/keywords/elliptic-function-solutions","display_name":"elliptic solutions","score":0.7250000238418579},{"id":"https://openalex.org/keywords/rational-solutions","display_name":"rational solutions","score":0.9620000123977661},{"id":"https://openalex.org/keywords/spatiotemporal-localization","display_name":"spatiotemporal localization","score":0.7319999933242798},{"id":"https://openalex.org/keywords/nonlinear-optics","display_name":"nonlinear optics","score":0.5849999785423279}],"concepts":[{"id":"https://openalex.org/C56034020","wikidata":"https://www.wikidata.org/wiki/Q1071734","display_name":"Paraxial approximation","level":3,"score":0.9410346746444702},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.5888404250144958},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5810377597808838},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.4133793115615845},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.39423924684524536},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.37094569206237793},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.35660725831985474},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24510425329208374},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22479015588760376}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.rinp.2021.105015","doi":"https://doi.org/10.1016/j.rinp.2021.105015","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinp.2021.105015","pdf_url":null,"source":{"id":"https://openalex.org/S2764941219","display_name":"Results in Physics","issn_l":"2211-3797","issn":["2211-3797"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","oarl","poland-70"],"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":"Results in Physics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7028ef8a7b344420aa9fd73e7c5301d8","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/7028ef8a7b344420aa9fd73e7c5301d8","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":"Results in Physics, Vol 31, Iss , Pp 105015- (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.rinp.2021.105015","doi":"https://doi.org/10.1016/j.rinp.2021.105015","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinp.2021.105015","pdf_url":null,"source":{"id":"https://openalex.org/S2764941219","display_name":"Results in Physics","issn_l":"2211-3797","issn":["2211-3797"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","oarl","poland-70"],"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":"Results in Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323722","display_name":"Taif University","ror":"https://ror.org/014g1a453"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1585641754","https://openalex.org/W1990322399","https://openalex.org/W1994589528","https://openalex.org/W1996279543","https://openalex.org/W2003297024","https://openalex.org/W2034231388","https://openalex.org/W2035020382","https://openalex.org/W2041201317","https://openalex.org/W2042385941","https://openalex.org/W2043463800","https://openalex.org/W2049372582","https://openalex.org/W2067216042","https://openalex.org/W2068157435","https://openalex.org/W2073976379","https://openalex.org/W2153516294","https://openalex.org/W2222693661","https://openalex.org/W2280815681","https://openalex.org/W2329258583","https://openalex.org/W2559696435","https://openalex.org/W2560310088","https://openalex.org/W2580070052","https://openalex.org/W2592123320","https://openalex.org/W2594478044","https://openalex.org/W2742215206","https://openalex.org/W2762475991","https://openalex.org/W2769725909","https://openalex.org/W2772999421","https://openalex.org/W2789347504","https://openalex.org/W2790884133","https://openalex.org/W2809102616","https://openalex.org/W2809922942","https://openalex.org/W2909160366","https://openalex.org/W2916256820","https://openalex.org/W2923521371","https://openalex.org/W2975089671","https://openalex.org/W2982249036","https://openalex.org/W2996851714","https://openalex.org/W3028999789","https://openalex.org/W3035924318","https://openalex.org/W3036842132","https://openalex.org/W3122252356","https://openalex.org/W3123313777","https://openalex.org/W3128880756","https://openalex.org/W3158583231","https://openalex.org/W3162205815","https://openalex.org/W3172469763","https://openalex.org/W3173828679","https://openalex.org/W4249984534"],"related_works":["https://openalex.org/W4399022473","https://openalex.org/W3019923959","https://openalex.org/W2910807003","https://openalex.org/W4386375572","https://openalex.org/W3107409467","https://openalex.org/W4295709244","https://openalex.org/W4308986753","https://openalex.org/W2077227213","https://openalex.org/W4394879325","https://openalex.org/W4415223493"],"abstract_inverted_index":{"In":[0],"this":[1,98],"study,":[2],"the":[3,17,24,53,57,93,102],"monochromatic":[4],"beam":[5],"propagation":[6],"interprets":[7],"non-scattering":[8],"and":[9,30,46,74,85,107],"non-dissipation":[10],"spatiotemporally":[11],"localized":[12],"wave":[13,37,59],"parcels":[14],"proliferated":[15],"in":[16,72,82],"announcement":[18],"of":[19,33,56,92,97],"optical":[20],"Kerr.":[21],"By":[22],"using":[23],"mathematical":[25],"techniques":[26],"some":[27,69],"elliptic,":[28],"rational,":[29],"soliton":[31,103],"solutions":[32,62,104],"dimension-less":[34],"(time-dependent)":[35],"paraxial":[36,58],"structure":[38],"are":[39,49,105],"established.":[40],"The":[41,61,95],"Sardar":[42],"subequation":[43],"method":[44],"(SSM)":[45],"mathematica":[47],"11.0":[48],"used":[50],"to":[51],"find":[52],"exact":[54],"solution":[55],"equation.":[60],"which":[63],"we":[64],"will":[65],"be":[66],"obtained":[67],"explain":[68],"key":[70],"implementations":[71],"engineering":[73],"physics.":[75],"Some":[76],"graphical":[77],"representation":[78],"has":[79],"been":[80],"explained":[81],"modulus,":[83],"real":[84],"imaginary":[86],"graph":[87],"by":[88],"considering":[89],"relevant":[90],"values":[91],"framework.":[94],"solidity":[96],"work":[99],"explains":[100],"that":[101],"secure":[106],"perfect.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":12}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-12-06T00:00:00"}
