{"id":"https://openalex.org/W1966021600","doi":"https://doi.org/10.1007/s11075-010-9377-x","title":"Tension spline solution of nonlinear sine-Gordon equation","display_name":"Tension spline solution of nonlinear sine-Gordon equation","publication_year":2010,"publication_date":"2010-04-05","ids":{"openalex":"https://openalex.org/W1966021600","doi":"https://doi.org/10.1007/s11075-010-9377-x","mag":"1966021600"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-010-9377-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-010-9377-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5025334700","display_name":"Jalil Rashidinia","orcid":"https://orcid.org/0000-0002-9177-900X"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Jalil Rashidinia","raw_affiliation_strings":["School of Mathematics, Iran University of Science and Technology, Narmak, 1684613114, Tehran, Iran","School of Mathematics, Iran University of Science and Technology, Tehran, Iran 1684613114#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology, Narmak, 1684613114, Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]},{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology, Tehran, Iran 1684613114#TAB#","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108055629","display_name":"Reza Mohammadi","orcid":"https://orcid.org/0000-0002-7661-3255"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]},{"id":"https://openalex.org/I1312987727","display_name":"University of Neyshabur","ror":"https://ror.org/01x41eb05","country_code":"IR","type":"education","lineage":["https://openalex.org/I1312987727"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Reza Mohammadi","raw_affiliation_strings":["Department of Mathematics, University of Neyshabour, P.O. Box 899, Neyshabour, Iran","School of Mathematics, Iran University of Science and Technology, Narmak, 1684613114, Tehran, Iran","School of Mathematics, Iran University of Science and Technology, Tehran, Iran 1684613114 and Department of Mathematics, University of Neyshabour, Neyshabour, Iran#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Neyshabour, P.O. Box 899, Neyshabour, Iran","institution_ids":["https://openalex.org/I1312987727"]},{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology, Narmak, 1684613114, Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]},{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology, Tehran, Iran 1684613114 and Department of Mathematics, University of Neyshabour, Neyshabour, Iran#TAB#","institution_ids":["https://openalex.org/I67009956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025334700"],"corresponding_institution_ids":["https://openalex.org/I67009956"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.1809,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.78389531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"1","first_page":"129","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9972000122070312,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/sine-gordon-equation","display_name":"sine-Gordon equation","score":0.7993055582046509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7829831838607788},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5758845806121826},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5613796710968018},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.5468012690544128},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5164878368377686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5082049369812012},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4814681112766266},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3446907103061676},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17392975091934204},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1191224455833435},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10841190814971924},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.09318715333938599},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06495398283004761}],"concepts":[{"id":"https://openalex.org/C44444269","wikidata":"https://www.wikidata.org/wiki/Q2558473","display_name":"sine-Gordon equation","level":4,"score":0.7993055582046509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7829831838607788},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5758845806121826},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5613796710968018},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.5468012690544128},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5164878368377686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5082049369812012},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4814681112766266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3446907103061676},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17392975091934204},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1191224455833435},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10841190814971924},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.09318715333938599},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06495398283004761},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-010-9377-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-010-9377-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W220581293","https://openalex.org/W1427593441","https://openalex.org/W1609256436","https://openalex.org/W1964704012","https://openalex.org/W1966288707","https://openalex.org/W1968358120","https://openalex.org/W1970061757","https://openalex.org/W1973069928","https://openalex.org/W1974607468","https://openalex.org/W1984098700","https://openalex.org/W1984846709","https://openalex.org/W1987668201","https://openalex.org/W1988147867","https://openalex.org/W1988322580","https://openalex.org/W1992361999","https://openalex.org/W1995000834","https://openalex.org/W2000867446","https://openalex.org/W2014897843","https://openalex.org/W2027595215","https://openalex.org/W2035238356","https://openalex.org/W2052045393","https://openalex.org/W2072306326","https://openalex.org/W2095265410","https://openalex.org/W2097777580","https://openalex.org/W2103103991","https://openalex.org/W2103660039","https://openalex.org/W2113811138","https://openalex.org/W2122509273","https://openalex.org/W2122811504","https://openalex.org/W2132243470","https://openalex.org/W3101423250","https://openalex.org/W4247217960","https://openalex.org/W4247762108","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2132611405","https://openalex.org/W1979238274","https://openalex.org/W3213781763","https://openalex.org/W2053851757","https://openalex.org/W2046794414","https://openalex.org/W2074152267","https://openalex.org/W2074361683","https://openalex.org/W1910941143","https://openalex.org/W2518248370","https://openalex.org/W1968999634"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
