{"id":"https://openalex.org/W7225417570","doi":"https://doi.org/10.1142/s0217979227500202","title":"Nonlinear wave structures in a higher-order NLSE with dispersion, Kerr nonlinearity, and Raman effects","display_name":"Nonlinear wave structures in a higher-order NLSE with dispersion, Kerr nonlinearity, and Raman effects","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225417570","doi":"https://doi.org/10.1142/s0217979227500202"},"language":"en","primary_location":{"id":"doi:10.1142/s0217979227500202","doi":"https://doi.org/10.1142/s0217979227500202","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217979227500202","pdf_url":null,"source":{"id":"https://openalex.org/S130197424","display_name":"International Journal of Modern Physics B","issn_l":"0217-9792","issn":["0217-9792","1793-6578"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modern Physics B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161073209","display_name":"Syed T. R. Rizvi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Syed T. R. Rizvi","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5141299682","display_name":"Shaista Riaz","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shaista Riaz","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148210600","display_name":"Syed O. A. Bukhari","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Syed O. A. Bukhari","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5160998582","display_name":"A. R. Seadawy","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. R. Seadawy","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061070958","display_name":"Toheed Akhter","orcid":"https://orcid.org/0000-0003-3852-0485","observed_orcids":["https://orcid.org/0000-0003-3852-0485"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Toheed Akhter","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042426376","display_name":"Ahmet Bekir","orcid":"https://orcid.org/0000-0001-9394-4681","observed_orcids":["https://orcid.org/0000-0001-9394-4681"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ahmet Bekir","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":0.9970999956130981,"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":0.9970999956130981,"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":0.0012000000569969416,"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":0.0005000000237487257,"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/traveling-wave-solutions","display_name":"traveling wave solutions","score":0.6840000152587891},{"id":"https://openalex.org/keywords/jacobi-elliptic-functions","display_name":"Jacobi elliptic functions","score":0.8460000157356262},{"id":"https://openalex.org/keywords/solitary-waves","display_name":"solitary waves","score":0.7519999742507935},{"id":"https://openalex.org/keywords/kerr-nonlinearity","display_name":"Kerr nonlinearity","score":0.8009999990463257},{"id":"https://openalex.org/keywords/self-steepening","display_name":"self-steepening","score":0.8640000224113464},{"id":"https://openalex.org/keywords/raman-scattering","display_name":"Raman scattering","score":0.8209999799728394},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.44699999690055847}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6621999740600586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6028000116348267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5570999979972839},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5353999733924866},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.46459999680519104},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4230000078678131},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.3928000032901764},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3815000057220459},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.36970001459121704},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.3481999933719635},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.3276999890804291},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.32749998569488525},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.32690000534057617},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3179999887943268},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C176672485","wikidata":"https://www.wikidata.org/wiki/Q883038","display_name":"Kerr effect","level":3,"score":0.3052000105381012},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.2985000014305115},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.29269999265670776},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2809000015258789},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.25839999318122864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2574999928474426},{"id":"https://openalex.org/C84174578","wikidata":"https://www.wikidata.org/wiki/Q889796","display_name":"Surface wave","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.2524000108242035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217979227500202","doi":"https://doi.org/10.1142/s0217979227500202","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217979227500202","pdf_url":null,"source":{"id":"https://openalex.org/S130197424","display_name":"International Journal of Modern Physics B","issn_l":"0217-9792","issn":["0217-9792","1793-6578"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modern Physics B","raw_type":"journal-article"}],"best_oa_location":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/W2989839489","https://openalex.org/W4382362059","https://openalex.org/W3021537144","https://openalex.org/W2009619918","https://openalex.org/W4404409004","https://openalex.org/W2742215206","https://openalex.org/W2089812613","https://openalex.org/W2806546540","https://openalex.org/W4405569378","https://openalex.org/W2112312896"],"abstract_inverted_index":{"The":[0,28,73,122,142,221,239],"generalized":[1],"higher-order":[2,24,249],"nonlinear":[3,13,45,250],"Schr\u00f6dinger":[4],"equation":[5],"(GHO-NLSE)":[6],"provides":[7],"an":[8,61,229],"important":[9],"framework":[10],"for":[11,234,247,254,258],"describing":[12],"wave":[14,81,102,251],"propagation":[15,206],"in":[16],"optical":[17],"fibers":[18],"and":[19,33,43,68,85,88,93,111,138,158,187,195,253],"other":[20],"dispersive":[21],"media":[22],"where":[23],"effects":[25,46],"become":[26],"significant.":[27],"considered":[29,205,227],"model":[30],"incorporates":[31],"second-":[32],"third-order":[34],"dispersion":[35],"together":[36,116],"with":[37,65,117,134,169],"Kerr":[38],"nonlinearity":[39],"(KN),":[40],"self-steepening":[41],"(SSt),":[42],"Raman-related":[44],"(RrNLE).":[47],"In":[48],"this":[49],"work,":[50],"six":[51],"families":[52],"of":[53,125,146,172],"analytical":[54,148,230,241],"travelling-wave":[55],"solutions":[56,128,149,197,211,242],"(TWS)":[57],"are":[58,114],"constructed":[59],"through":[60],"amplitude-phase":[62],"formulation":[63],"combined":[64],"hyperbolic,":[66],"trigonometric,":[67,135],"Jacobi":[69],"elliptic-function":[70],"(JEF)":[71],"ans\u00e4tze.":[72],"resulting":[74],"structures":[75],"include":[76],"a":[77,164],"localized":[78,194,236],"dipole-type":[79],"solitary":[80],"(SW),":[82],"singular":[83,210],"csch-":[84],"sec-type":[86],"waves,":[87],"bounded":[89],"JEF":[90],"cn\u2013dn,":[91],"sn,":[92],"cn":[94],"periodic":[95,132,196],"wavetrains.":[96],"Explicit":[97],"algebraic":[98],"relations":[99],"among":[100],"the":[101,118,126,131,147,160,173,192,204,209],"amplitude,":[103],"velocity,":[104],"frequency,":[105],"wavenumber,":[106],"inverse":[107],"width,":[108],"elliptic":[109],"modulus,":[110],"governing":[112],"coefficients":[113],"derived":[115],"corresponding":[119],"existence":[120],"conditions.":[121],"limiting":[123],"behavior":[124],"JE":[127],"further":[129],"connects":[130],"wavetrains":[133],"kink-type,":[136],"sech,":[137],"sech":[139],"2":[140],"profiles.":[141,238],"finite-distance":[143],"numerical":[144,216,256],"robustness":[145],"is":[150,226],"investigated":[151],"by":[152],"introducing":[153],"small":[154],"additive":[155],"random":[156],"perturbations":[157],"propagating":[159],"perturbed":[161],"profiles":[162,246],"using":[163],"split-step":[165],"Fourier":[166],"scheme":[167],"(SSFS)":[168],"pseudo-spectral":[170],"evaluation":[171],"derivative":[174],"nonlinearities.":[175],"Numerical":[176],"indicators":[177],"based":[178],"on":[179],"relative":[180],"power":[181],"variation,":[182,184],"peak-intensity":[183],"central":[185],"intensity,":[186],"intensity-profile":[188],"deviation":[189],"show":[190],"that":[191],"nonsingular":[193],"retain":[198],"their":[199,219],"principal":[200],"structural":[201],"features":[202],"over":[203],"interval,":[207],"whereas":[208],"exhibit":[212],"stronger":[213],"sensitivity":[214],"to":[215],"regularization":[217],"near":[218],"poles.":[220],"Vakhitov-Kolokolov":[222],"slope":[223],"(VKS)":[224],"condition":[225],"as":[228],"stability":[231],"indicator":[232],"only":[233],"applicable":[235],"finite-power":[237],"obtained":[240],"provide":[243],"useful":[244],"benchmark":[245],"investigating":[248],"dynamics":[252],"validating":[255],"methods":[257],"NLS":[259],"systems.":[260]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}