{"id":"https://openalex.org/W2151000203","doi":null,"title":"On Linear Superposition Principle Applying to Hirota Bilinear Equations","display_name":"On Linear Superposition Principle Applying to Hirota Bilinear Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2151000203","mag":"2151000203"},"language":"en","primary_location":{"id":"mag:2151000203","doi":null,"is_oa":true,"landing_page_url":"http://article.sapub.org/pdf/10.5923.j.ajcam.20130301.02.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764366262","display_name":"American Journal of Computational and Applied Mathematics","issn_l":"2165-8935","issn":["2165-8935","2165-8943"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"American Journal of Computational and Applied Mathematics","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://article.sapub.org/pdf/10.5923.j.ajcam.20130301.02.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107968023","display_name":"M. Y. Adamu","orcid":"https://orcid.org/0000-0002-9950-9557","observed_orcids":["https://orcid.org/0000-0002-9950-9557"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Y. Adamu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012233363","display_name":"Enoch Suleiman","orcid":"https://orcid.org/0000-0002-4472-0793","observed_orcids":["https://orcid.org/0000-0002-4472-0793"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Enoch Suleiman","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4472-0793","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3897,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55823451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"3","issue":"1","first_page":"8","last_page":"12"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.0,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/linear-superposition-principle","display_name":"linear superposition","score":0.984000027179718},{"id":"https://openalex.org/keywords/hirota-bilinear-equations","display_name":"Hirota bilinear equations","score":0.9950000047683716},{"id":"https://openalex.org/keywords/multi-soliton-solutions","display_name":"N-soliton solutions","score":0.996999979019165},{"id":"https://openalex.org/keywords/sawada-kotera-equation","display_name":"Sawada-Kotera equation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/2-1-dimensional-equations","display_name":"(2+1)-dimensional equations","score":0.9580000042915344},{"id":"https://openalex.org/keywords/soliton-solutions","display_name":"soliton solutions","score":0.4569999873638153}],"concepts":[{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.8335424661636353},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7882763147354126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7540973424911499},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6066766381263733},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5871767401695251},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.5643256902694702},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4558105170726776},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.4427492022514343},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4012278914451599},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38816630840301514},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.38025203347206116},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32354456186294556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13353732228279114},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08654546737670898},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2151000203","doi":null,"is_oa":true,"landing_page_url":"http://article.sapub.org/pdf/10.5923.j.ajcam.20130301.02.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764366262","display_name":"American Journal of Computational and Applied Mathematics","issn_l":"2165-8935","issn":["2165-8935","2165-8943"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"American Journal of Computational and Applied Mathematics","raw_type":null}],"best_oa_location":{"id":"mag:2151000203","doi":null,"is_oa":true,"landing_page_url":"http://article.sapub.org/pdf/10.5923.j.ajcam.20130301.02.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764366262","display_name":"American Journal of Computational and Applied Mathematics","issn_l":"2165-8935","issn":["2165-8935","2165-8943"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"American Journal of Computational and Applied Mathematics","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2063421572","https://openalex.org/W2081149245","https://openalex.org/W2081375717","https://openalex.org/W2113843433","https://openalex.org/W2226723174"],"related_works":["https://openalex.org/W2081173623","https://openalex.org/W2121240281","https://openalex.org/W2519047583","https://openalex.org/W2489913954","https://openalex.org/W2226723174","https://openalex.org/W2063421572","https://openalex.org/W4414587190","https://openalex.org/W4404011178","https://openalex.org/W2591689307","https://openalex.org/W2139716692"],"abstract_inverted_index":{"The":[0],"linear":[1,29],"superposition":[2],"principle":[3],"of":[4,12,24,33],"exponential":[5,34],"travelling":[6,35],"waves":[7],"is":[8,55],"analysed":[9],"for":[10,40],"equations":[11,65],"Hirota":[13,63],"bilinear":[14,64],"type,":[15],"with":[16,80],"an":[17,81],"aim":[18],"to":[19],"construct":[20],"a":[21,43,72],"specific":[22],"subclass":[23],"N-soliton":[25],"solutions":[26,70],"formed":[27],"by":[28],"co":[30],"mb":[31],"ination":[32],"waves.":[36],"Applications":[37],"are":[38,77],"made":[39],"Sawada-Kotera":[41],"and":[42,59,71],"(2+1)-d":[44],"imensional":[45],"equations,":[46],"thereby":[47],"presenting":[48],"their":[49],"N-wave":[50,69],"solutions.":[51],"An":[52],"opposite":[53],"question":[54],"also":[56],"put":[57],"forward":[58],"discussed":[60],"about":[61],"generating":[62],"possesses":[66],"the":[67],"indicated":[68],"few":[73],"illustrative":[74],"examp":[75],"les":[76],"presented,":[78],"together":[79],"algorithm":[82],"using":[83],"weights.":[84]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2016-06-24T00:00:00"}
