{"id":"https://openalex.org/W3138664101","doi":"https://doi.org/10.22034/cmde.2020.38990.1711","title":"Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation","display_name":"Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation","publication_year":2021,"publication_date":"2021-01-05","ids":{"openalex":"https://openalex.org/W3138664101","doi":"https://doi.org/10.22034/cmde.2020.38990.1711","mag":"3138664101"},"language":"en","primary_location":{"id":"mag:3138664101","doi":"https://doi.org/10.22034/cmde.2020.38990.1711","is_oa":true,"landing_page_url":"https://cmde.tabrizu.ac.ir/article_12220_0ce4d329b06ebc2ece004ab575407169.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764847587","display_name":"Computational methods for differential equations","issn_l":"2345-3982","issn":["2345-3982"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Computational methods for differential equations","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://cmde.tabrizu.ac.ir/article_12220_0ce4d329b06ebc2ece004ab575407169.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001087519","display_name":"Tukur Abdulkadir Sula\u0131man","orcid":"https://orcid.org/0000-0001-7284-8332","observed_orcids":["https://orcid.org/0000-0001-7284-8332"]},"institutions":[{"id":"https://openalex.org/I4387156178","display_name":"Federal University Dutse","ror":"https://ror.org/0278jft56","country_code":"NG","type":"education","lineage":["https://openalex.org/I4387156178"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Tukur Abdulkadir Sula\u0131man","raw_affiliation_strings":["Faculty of Science, Federal University Dutse, Jigawa, Nigeria"],"raw_orcid":"https://orcid.org/0000-0001-7284-8332","affiliations":[{"raw_affiliation_string":"Faculty of Science, Federal University Dutse, Jigawa, Nigeria","institution_ids":["https://openalex.org/I4387156178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023833193","display_name":"Usman Younas","orcid":"https://orcid.org/0009-0002-9777-4936","observed_orcids":["https://orcid.org/0009-0002-9777-4936","https://orcid.org/0000-0002-5508-792X"]},"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":"Usman Younas","raw_affiliation_strings":["Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"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":"Muhammad Younis","raw_affiliation_strings":["Punjab University College of Information Technology, University of the Punjab, Lahore 54000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-8547-7478","affiliations":[{"raw_affiliation_string":"Punjab University College of Information Technology, University of the Punjab, Lahore 54000, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072786826","display_name":"Jamshad Ahmad","orcid":"https://orcid.org/0000-0003-4170-9035","observed_orcids":["https://orcid.org/0000-0003-4170-9035"]},"institutions":[{"id":"https://openalex.org/I99165933","display_name":"University of Gujrat","ror":"https://ror.org/01xe5fb92","country_code":"PK","type":"education","lineage":["https://openalex.org/I99165933"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Jamshad Ahmad","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-4170-9035","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan","institution_ids":["https://openalex.org/I99165933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101442023","display_name":"Shafqat Ur Rehman","orcid":"https://orcid.org/0000-0002-1044-5682","observed_orcids":["https://orcid.org/0000-0002-1044-5682","https://orcid.org/0000-0001-7767-9785"]},"institutions":[{"id":"https://openalex.org/I99165933","display_name":"University of Gujrat","ror":"https://ror.org/01xe5fb92","country_code":"PK","type":"education","lineage":["https://openalex.org/I99165933"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shafqat Ur Rehman","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-1044-5682","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan","institution_ids":["https://openalex.org/I99165933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089597978","display_name":"Muhammad Bilal","orcid":"https://orcid.org/0000-0001-9149-6379","observed_orcids":["https://orcid.org/0000-0001-9149-6379"]},"institutions":[{"id":"https://openalex.org/I99165933","display_name":"University of Gujrat","ror":"https://ror.org/01xe5fb92","country_code":"PK","type":"education","lineage":["https://openalex.org/I99165933"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Bilal","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-9149-6379","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Pakistan","institution_ids":["https://openalex.org/I99165933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002696338","display_name":"Abdullahi Yusuf","orcid":"https://orcid.org/0000-0002-8308-7943","observed_orcids":["https://orcid.org/0000-0002-8308-7943"]},"institutions":[{"id":"https://openalex.org/I4387156178","display_name":"Federal University Dutse","ror":"https://ror.org/0278jft56","country_code":"NG","type":"education","lineage":["https://openalex.org/I4387156178"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Abdullahi Yusuf","raw_affiliation_strings":["Federal University Dutse, Science Faculty, Department of Mathematics, 7156 Jigawa, Nigeria"],"raw_orcid":"https://orcid.org/0000-0002-8308-7943","affiliations":[{"raw_affiliation_string":"Federal University Dutse, Science Faculty, Department of Mathematics, 7156 Jigawa, Nigeria","institution_ids":["https://openalex.org/I4387156178"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8528,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.68318519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":null,"issue":null,"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/modulational-instability","display_name":"modulational instability","score":0.7940000295639038},{"id":"https://openalex.org/keywords/optical-solitons","display_name":"optical solitons","score":0.9940000176429749},{"id":"https://openalex.org/keywords/dark-solitons","display_name":"dark solitons","score":0.8849999904632568},{"id":"https://openalex.org/keywords/bright-solitons","display_name":"bright solitons","score":0.9919999837875366},{"id":"https://openalex.org/keywords/singular-solitons","display_name":"singular solitons","score":0.9909999966621399},{"id":"https://openalex.org/keywords/singular-periodic-waves","display_name":"singular periodic waves","score":0.6399999856948853},{"id":"https://openalex.org/keywords/soliton-stability","display_name":"soliton stability","score":0.7540000081062317}],"concepts":[{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.7909563779830933},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.6544421315193176},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6355315446853638},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.6193075776100159},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5689741969108582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5627059936523438},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5574630498886108},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.5289074182510376},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5038055777549744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49883055686950684},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.4619392156600952},{"id":"https://openalex.org/C175205982","wikidata":"https://www.wikidata.org/wiki/Q208920","display_name":"One-dimensional space","level":2,"score":0.4518239200115204},{"id":"https://openalex.org/C2993172089","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Periodic wave","level":3,"score":0.4464355707168579},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4328484535217285},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41719403862953186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3872118592262268},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3613262474536896},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.3107646703720093},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1678239405155182},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12733224034309387},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3138664101","doi":"https://doi.org/10.22034/cmde.2020.38990.1711","is_oa":true,"landing_page_url":"https://cmde.tabrizu.ac.ir/article_12220_0ce4d329b06ebc2ece004ab575407169.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764847587","display_name":"Computational methods for differential equations","issn_l":"2345-3982","issn":["2345-3982"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Computational methods for differential equations","raw_type":null}],"best_oa_location":{"id":"mag:3138664101","doi":"https://doi.org/10.22034/cmde.2020.38990.1711","is_oa":true,"landing_page_url":"https://cmde.tabrizu.ac.ir/article_12220_0ce4d329b06ebc2ece004ab575407169.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764847587","display_name":"Computational methods for differential equations","issn_l":"2345-3982","issn":["2345-3982"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Computational methods for differential equations","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4389728380","https://openalex.org/W4281291912","https://openalex.org/W3010465673","https://openalex.org/W3005389783","https://openalex.org/W2780214676","https://openalex.org/W3183886997","https://openalex.org/W2276446983","https://openalex.org/W2804539151","https://openalex.org/W4399273871","https://openalex.org/W4304807458"],"abstract_inverted_index":{"The":[0],"current":[1],"study":[2],"utilizes":[3],"the":[4,22,31,76,81,84,119,123],"extended":[5],"sinh-Gordon":[6],"equation":[7,28],"expansion":[8],"and":[9,18,64,75,104],"($frac{G^{prime}}{G^2}$)-expansion":[10],"function":[11],"methods":[12],"in":[13,42,45],"constructing":[14],"various":[15],"optical":[16,54],"soliton":[17,85],"other":[19],"solutions":[20,52,72,86],"to":[21,83,92],"(2+1)-dimensional":[23],"hyperbolic":[24,63],"nonlinear":[25,125],"Schr${ddot":[26],"o}$dinger's":[27],"which":[29,79],"describes":[30],"elevation":[32],"of":[33,51,110,122,129],"water":[34,44],"wave":[35,40,71],"surface":[36],"for":[37],"slowly":[38],"modulated":[39],"trains":[41],"deep":[43],"hydrodynamics.":[46],"We":[47,116],"secure":[48],"different":[49],"kinds":[50],"like":[53],"dark,":[55],"bright,":[56],"singular,":[57],"combo":[58],"solitons":[59],"as":[60,62],"well":[61],"trigonometric":[65],"functions":[66],"solutions.":[67],"Moreover,":[68],"singular":[69],"periodic":[70],"are":[73,87],"recovered":[74],"constraint":[77],"conditions":[78],"provide":[80],"guarantee":[82],"also":[88,117],"reported.":[89],"In":[90],"order":[91],"shed":[93],"more":[94],"light":[95],"on":[96],"these":[97],"novel":[98],"solutions,":[99],"graphical":[100],"features":[101],"3D,":[102],"2D":[103],"contour":[105],"with":[106,127],"some":[107],"suitable":[108],"choice":[109],"parameter":[111],"values":[112],"have":[113],"been":[114],"depicted.":[115],"discuss":[118],"stability":[120],"analysis":[121],"studied":[124],"model":[126],"aid":[128],"modulation":[130],"instability":[131],"analysis.":[132]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2021-03-29T00:00:00"}