{"id":"https://openalex.org/W2109384272","doi":"https://doi.org/10.1080/00207160601071452","title":"New exact travelling wave solutions for some famous nonlinear partial differential equations using the improved tanh-function method","display_name":"New exact travelling wave solutions for some famous nonlinear partial differential equations using the improved tanh-function method","publication_year":2006,"publication_date":"2006-10-01","ids":{"openalex":"https://openalex.org/W2109384272","doi":"https://doi.org/10.1080/00207160601071452","mag":"2109384272"},"language":"en","primary_location":{"id":"doi:10.1080/00207160601071452","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160601071452","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","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/A5110204651","display_name":"M. Alabdullatif","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"M. Alabdullatif","raw_affiliation_strings":["\n Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia","Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031532501","display_name":"H. A. Abdusalam","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"H. A. Abdusalam","raw_affiliation_strings":["\n Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia;\n Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt","Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia","Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia;\n Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110204651"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":null,"apc_paid":null,"fwci":0.4925,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66809077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"83","issue":"10","first_page":"741","last_page":"751"},"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":0.9976000189781189,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/traveling-wave","display_name":"Traveling wave","score":0.8607898950576782},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.8285421133041382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.604240894317627},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5873188972473145},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5870162844657898},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5663933157920837},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.558427631855011},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5404906868934631},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.47877466678619385},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4631800949573517},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3967059552669525},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20828178524971008},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10784652829170227}],"concepts":[{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.8607898950576782},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.8285421133041382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.604240894317627},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5873188972473145},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5870162844657898},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5663933157920837},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.558427631855011},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5404906868934631},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.47877466678619385},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4631800949573517},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3967059552669525},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20828178524971008},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10784652829170227},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160601071452","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160601071452","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1968142352","https://openalex.org/W1990134138","https://openalex.org/W1995220437","https://openalex.org/W2005024847","https://openalex.org/W2012318174","https://openalex.org/W2016777625","https://openalex.org/W2042134942","https://openalex.org/W2055629482","https://openalex.org/W2069763315","https://openalex.org/W2073817609","https://openalex.org/W2083960709","https://openalex.org/W2086698446","https://openalex.org/W2088931956","https://openalex.org/W2090592987","https://openalex.org/W2094547457","https://openalex.org/W2116741266","https://openalex.org/W2138715427","https://openalex.org/W2158969848","https://openalex.org/W2187576836","https://openalex.org/W2199004907","https://openalex.org/W2226296570","https://openalex.org/W4250716583","https://openalex.org/W4251126943","https://openalex.org/W4255777804","https://openalex.org/W4293079218","https://openalex.org/W4324067019"],"related_works":["https://openalex.org/W2152194648","https://openalex.org/W4233282671","https://openalex.org/W2061818987","https://openalex.org/W1997022868","https://openalex.org/W2371773166","https://openalex.org/W2058973986","https://openalex.org/W4287780914","https://openalex.org/W3034862729","https://openalex.org/W1966459141","https://openalex.org/W3023599262"],"abstract_inverted_index":{"Abstract":[0],"The":[1,15,50],"improved":[2],"tanh-function":[3],"method":[4,16],"is":[5,17],"a":[6,44],"powerful":[7],"tool":[8],"for":[9,19,30,43],"obtaining":[10],"exact":[11,21],"travelling":[12,22],"wave":[13,23,35,64],"solutions.":[14],"used":[18],"constructing":[20],"solutions":[24,29,51],"and":[25,42],"new":[26],"kinds":[27],"of":[28,46],"the":[31,37,59],"modified":[32],"dispersive":[33,67],"water":[34,68],"equation,":[36],"Abrahams\u2013Tsuneto":[38],"reaction":[39,47,70],"diffusion":[40,48,71],"system,":[41],"class":[45],"models.":[49],"obtained":[52],"are":[53],"different":[54],"from":[55],"those":[56],"reported":[57],"in":[58],"literature.":[60],"Keywords:":[61],"Tanh-function":[62],"methodTravelling":[63],"solutionsReaction":[65],"diffusionModified":[66],"waveAbrahams\u2013Tsuneto":[69],"system":[72]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
