{"id":"https://openalex.org/W1612304544","doi":"https://doi.org/10.3233/fi-2014-1056","title":"Extended Generalized Hyperbolic-function Method and New Exact Solutions of the Generalized Hamiltonian and NNV Equations by the Symbolic Computation","display_name":"Extended Generalized Hyperbolic-function Method and New Exact Solutions of the Generalized Hamiltonian and NNV Equations by the Symbolic Computation","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1612304544","doi":"https://doi.org/10.3233/fi-2014-1056","mag":"1612304544"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2014-1056","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2014-1056","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5042214194","display_name":"Jian-Guo Liu","orcid":"https://orcid.org/0000-0002-6058-5472"},"institutions":[{"id":"https://openalex.org/I10899854","display_name":"Jiangxi University of Traditional Chinese Medicine","ror":"https://ror.org/03jy32q83","country_code":"CN","type":"education","lineage":["https://openalex.org/I10899854"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Guo Liu","raw_affiliation_strings":["College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China. 395625298@qq.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China. 395625298@qq.com","institution_ids":["https://openalex.org/I10899854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101016433","display_name":"Zhi-Fang Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Fang Zeng","raw_affiliation_strings":["College of Science, Nanchang University, JiangXi 330031, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Nanchang University, JiangXi 330031, China","institution_ids":["https://openalex.org/I141649914"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1751,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77469254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"132","issue":"4","first_page":"501","last_page":"517"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9919000267982483,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9894999861717224,"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/computation","display_name":"Computation","score":0.6374946236610413},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.6342312097549438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5942677855491638},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.5680330395698547},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5030557513237},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3660418391227722},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31744444370269775},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27779945731163025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15894681215286255}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6374946236610413},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.6342312097549438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5942677855491638},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.5680330395698547},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5030557513237},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3660418391227722},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31744444370269775},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27779945731163025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15894681215286255}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2014-1056","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2014-1056","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1240715350","https://openalex.org/W1553268179","https://openalex.org/W1965978806","https://openalex.org/W1978885235","https://openalex.org/W1989760690","https://openalex.org/W1993877172","https://openalex.org/W2000892481","https://openalex.org/W2009337802","https://openalex.org/W2015770622","https://openalex.org/W2023325497","https://openalex.org/W2030669316","https://openalex.org/W2032700105","https://openalex.org/W2035750017","https://openalex.org/W2037688254","https://openalex.org/W2043597945","https://openalex.org/W2052142989","https://openalex.org/W2053685924","https://openalex.org/W2056035810","https://openalex.org/W2057436683","https://openalex.org/W2060339913","https://openalex.org/W2061840444","https://openalex.org/W2075951293","https://openalex.org/W2079023872","https://openalex.org/W2083332431","https://openalex.org/W2093444109","https://openalex.org/W2099235198","https://openalex.org/W2103039937","https://openalex.org/W2106147467","https://openalex.org/W2119764563","https://openalex.org/W2140895997","https://openalex.org/W2156397973","https://openalex.org/W2173658208","https://openalex.org/W2174441244","https://openalex.org/W3086006600"],"related_works":["https://openalex.org/W2363922099","https://openalex.org/W908473976","https://openalex.org/W2384965142","https://openalex.org/W171076485","https://openalex.org/W4251421746","https://openalex.org/W4251748586","https://openalex.org/W2072130745","https://openalex.org/W2052630252","https://openalex.org/W2093538068","https://openalex.org/W2056536541"],"abstract_inverted_index":{"In":[0,38],"this":[1],"paper,":[2],"with":[3],"the":[4,7,42,47,56,61],"aid":[5],"of":[6,30,60],"computerized":[8],"symbolic":[9],"computation,":[10],"we":[11,40],"present":[12],"an":[13],"extended":[14],"generalized":[15,43],"hyperbolic-function":[16],"method.":[17,62],"Being":[18],"concise":[19],"and":[20,46,58],"straightforward,":[21],"it":[22],"can":[23,81],"be":[24,82],"applicable":[25],"to":[26,54,85],"seek":[27],"more":[28],"types":[29],"solutions":[31,69,77],"for":[32],"certain":[33],"nonlinear":[34,87],"evolution":[35],"equations":[36,45,53,90],"(NLEES).":[37],"illustration,":[39],"choose":[41],"Hamiltonian":[44],"(2":[48],"+":[49],"1)-dimensional":[50],"Nizhnik-Novikov-Veselov":[51],"(NNV)":[52],"demonstrate":[55],"validity":[57],"advantages":[59],"As":[63],"a":[64],"result,":[65],"abundant":[66],"new":[67],"exact":[68],"are":[70],"obtained":[71],"including":[72],"soliton-like":[73],"solutions,":[74],"traveling":[75],"wave":[76],"etc.":[78],"The":[79],"method":[80],"also":[83],"applied":[84],"other":[86],"partial":[88],"differential":[89],"(NPDEs).":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
