{"id":"https://openalex.org/W2911782429","doi":"https://doi.org/10.1155/2019/6143102","title":"Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schr\u00f6dinger Equation with Power Law Nonlinearity","display_name":"Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schr\u00f6dinger Equation with Power Law Nonlinearity","publication_year":2019,"publication_date":"2019-02-03","ids":{"openalex":"https://openalex.org/W2911782429","doi":"https://doi.org/10.1155/2019/6143102","mag":"2911782429"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6143102","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6143102","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/6143102.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2019/6143102.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062467405","display_name":"Khalil S. Al-Ghafri","orcid":"https://orcid.org/0000-0002-4392-0742"},"institutions":[{"id":"https://openalex.org/I4210119174","display_name":"College of Applied Sciences- Ibri","ror":"https://ror.org/02h5h0a06","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210119174","https://openalex.org/I4210130707"]}],"countries":["OM"],"is_corresponding":true,"raw_author_name":"K. S. Al-Ghafri","raw_affiliation_strings":["Ibri College of Applied Sciences, Ministry of Higher Education, P.O. Box 14, Ibri 516, Oman"],"raw_orcid":"https://orcid.org/0000-0002-4392-0742","affiliations":[{"raw_affiliation_string":"Ibri College of Applied Sciences, Ministry of Higher Education, P.O. Box 14, Ibri 516, Oman","institution_ids":["https://openalex.org/I4210119174"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062467405"],"corresponding_institution_ids":["https://openalex.org/I4210119174"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.7204,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68454604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"8"},"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":0.9998000264167786,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/ode","display_name":"Ode","score":0.8593682050704956},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.7559476494789124},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6776860952377319},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5949978828430176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5803520679473877},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5498358011245728},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.51634681224823},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5161348581314087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5127192735671997},{"id":"https://openalex.org/keywords/nonlinear-schr\u00f6dinger-equation","display_name":"Nonlinear Schr\u00f6dinger equation","score":0.4878373444080353},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4668926000595093},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4413054585456848},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.33053746819496155},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27928340435028076},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.25391700863838196},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12523314356803894},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06550189852714539}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8593682050704956},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.7559476494789124},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6776860952377319},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5949978828430176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5803520679473877},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5498358011245728},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.51634681224823},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5161348581314087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5127192735671997},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.4878373444080353},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4668926000595093},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4413054585456848},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.33053746819496155},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27928340435028076},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.25391700863838196},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12523314356803894},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06550189852714539},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2019/6143102","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6143102","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/6143102.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1552615281","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1552615281","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:6143102","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2019/6143102.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:1165d4c26890490c855a67d6000b91aa","is_oa":true,"landing_page_url":"https://doaj.org/article/1165d4c26890490c855a67d6000b91aa","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,"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":"Journal of Applied Mathematics, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/6143102","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6143102","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/6143102.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2911782429.pdf","grobid_xml":"https://content.openalex.org/works/W2911782429.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1974151852","https://openalex.org/W1976958087","https://openalex.org/W1980539174","https://openalex.org/W1981158113","https://openalex.org/W1987300661","https://openalex.org/W1994548859","https://openalex.org/W1994578811","https://openalex.org/W1999005080","https://openalex.org/W2003489430","https://openalex.org/W2020447899","https://openalex.org/W2021074791","https://openalex.org/W2035020382","https://openalex.org/W2043463800","https://openalex.org/W2047741539","https://openalex.org/W2048844397","https://openalex.org/W2049112563","https://openalex.org/W2050780673","https://openalex.org/W2061275989","https://openalex.org/W2065150459","https://openalex.org/W2067072837","https://openalex.org/W2083698997","https://openalex.org/W2141112962","https://openalex.org/W2146926116","https://openalex.org/W2329820400","https://openalex.org/W2338085872","https://openalex.org/W2430494926","https://openalex.org/W2520013554","https://openalex.org/W2550562951","https://openalex.org/W2766416637","https://openalex.org/W2884728447"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W3093456297","https://openalex.org/W3006247779"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"investigate":[4],"various":[5],"types":[6,78],"of":[7,30,45,50,79,86],"solutions":[8,90],"for":[9,83],"the":[10,27,31,51,84],"generalised":[11],"resonant":[12],"dispersive":[13],"nonlinear":[14],"Schr\u00f6dinger":[15],"equation":[16,39],"(GRD-NLSE)":[17],"with":[18],"power":[19],"law":[20],"nonlinearity.":[21],"Based":[22],"on":[23],"simple":[24],"mathematical":[25],"techniques,":[26],"complicated":[28],"form":[29],"GRD-NLSE":[32],"is":[33],"reduced":[34],"to":[35,56],"an":[36],"ordinary":[37],"differential":[38],"(ODE)":[40],"which":[41],"has":[42],"a":[43],"variety":[44],"solutions.":[46,80],"The":[47],"analytic":[48],"solution":[49],"resulting":[52],"ODE":[53],"gives":[54],"rise":[55],"bright":[57],"soliton,":[58,60,62],"singular":[59],"peaked":[61],"compacton":[63],"solutions,":[64,67,74],"solitary":[65],"pattern":[66],"rational":[68],"solution,":[69],"Weierstrass":[70],"elliptic":[71],"periodic":[72],"type":[73],"and":[75,88],"some":[76],"other":[77,89],"Constraint":[81],"conditions":[82],"existence":[85],"solitons":[87],"are":[91],"given.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}