{"id":"https://openalex.org/W3038215996","doi":"https://doi.org/10.1080/00207160.2020.1792454","title":"Some new dynamical behaviour of double breathers and lump-<i>N</i>-solitons for the Ito equation","display_name":"Some new dynamical behaviour of double breathers and lump-<i>N</i>-solitons for the Ito equation","publication_year":2020,"publication_date":"2020-07-07","ids":{"openalex":"https://openalex.org/W3038215996","doi":"https://doi.org/10.1080/00207160.2020.1792454","mag":"3038215996"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1792454","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1792454","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/A5019279689","display_name":"Wei Tan","orcid":"https://orcid.org/0000-0001-8894-8290"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]},{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Tan","raw_affiliation_strings":["College of Mathematics and Statistics, Jishou University, Jishou, People's Republic of China","Department of Mathematics, Sun Yat-sen University, Guangzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Jishou University, Jishou, People's Republic of China","institution_ids":["https://openalex.org/I144581915"]},{"raw_affiliation_string":"Department of Mathematics, Sun Yat-sen University, Guangzhou, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019279689"],"corresponding_institution_ids":["https://openalex.org/I144581915","https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":1.1691,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.77471464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"98","issue":"5","first_page":"961","last_page":"974"},"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":0.9995999932289124,"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":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/breather","display_name":"Breather","score":0.9224158525466919},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.7488183975219727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5829726457595825},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.4952529966831207},{"id":"https://openalex.org/keywords/repopulation","display_name":"Repopulation","score":0.4805167615413666},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4767211973667145},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.4720246195793152},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.46889203786849976},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.44012895226478577},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4278357923030853},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42223381996154785},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2987494468688965},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.26302409172058105}],"concepts":[{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.9224158525466919},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.7488183975219727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5829726457595825},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.4952529966831207},{"id":"https://openalex.org/C2780918802","wikidata":"https://www.wikidata.org/wiki/Q25091543","display_name":"Repopulation","level":4,"score":0.4805167615413666},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4767211973667145},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.4720246195793152},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.46889203786849976},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.44012895226478577},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4278357923030853},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42223381996154785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2987494468688965},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26302409172058105},{"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},{"id":"https://openalex.org/C109159458","wikidata":"https://www.wikidata.org/wiki/Q919283","display_name":"Haematopoiesis","level":3,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C28328180","wikidata":"https://www.wikidata.org/wiki/Q48196","display_name":"Stem cell","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1792454","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1792454","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":[],"awards":[{"id":"https://openalex.org/G1317225423","display_name":"\u5177\u6709\u8109\u51b2\u6270\u52a8\u7684\u54c8\u5bc6\u987f\u7cfb\u7edf\u5468\u671f\u89e3\u548c\u540c\u5bbf\u8f68\u7814\u7a76","funder_award_id":"11661037","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1507971731","https://openalex.org/W1633315028","https://openalex.org/W1973926420","https://openalex.org/W2025559654","https://openalex.org/W2026923035","https://openalex.org/W2029403532","https://openalex.org/W2049465333","https://openalex.org/W2060656485","https://openalex.org/W2103200338","https://openalex.org/W2128193840","https://openalex.org/W2274819749","https://openalex.org/W2276604490","https://openalex.org/W2298360254","https://openalex.org/W2326965058","https://openalex.org/W2499449735","https://openalex.org/W2561777866","https://openalex.org/W2566486816","https://openalex.org/W2626141657","https://openalex.org/W2737235521","https://openalex.org/W2752040353","https://openalex.org/W2758536436","https://openalex.org/W2763375613","https://openalex.org/W2790109553","https://openalex.org/W2792053291","https://openalex.org/W2800722361","https://openalex.org/W2801703840","https://openalex.org/W2888185116","https://openalex.org/W2889414973","https://openalex.org/W2891185163","https://openalex.org/W2897075804","https://openalex.org/W2902866675","https://openalex.org/W2907087735","https://openalex.org/W2914307335","https://openalex.org/W2924020604","https://openalex.org/W2938559424","https://openalex.org/W2940535473","https://openalex.org/W2949873901","https://openalex.org/W2950638643","https://openalex.org/W2952086931","https://openalex.org/W2963538612","https://openalex.org/W2971283152","https://openalex.org/W2976172465","https://openalex.org/W2981654805","https://openalex.org/W2999052578","https://openalex.org/W3030663332","https://openalex.org/W3102217118"],"related_works":["https://openalex.org/W1965315336","https://openalex.org/W4200053212","https://openalex.org/W4362587016","https://openalex.org/W2235548299","https://openalex.org/W3118503748","https://openalex.org/W1963546854","https://openalex.org/W4220877270","https://openalex.org/W4200394402","https://openalex.org/W4282944080","https://openalex.org/W3118534930"],"abstract_inverted_index":{"Based":[0],"on":[1],"symbolic":[2],"computation":[3],"and":[4,12,62,75,81,90,108,137,145,149],"Hirota":[5],"bilinear":[6],"method,":[7],"we":[8,111],"investigate":[9],"the":[10,22,32,36,42,46,58,73,78,96,102,126,130,135,141],"evolution":[11,44],"degeneration":[13,37,127],"behaviour":[14,98],"of":[15,34,38,45,49,66,77,99,104,128,132,139,143],"breather-wave":[16,39],"solution":[17],"with":[18,101,117],"different":[19,67],"forms":[20],"for":[21],"Ito":[23],"equation.":[24],"Some":[25],"new":[26],"lump":[27,133],"solutions":[28],"are":[29],"obtained":[30],"in":[31],"process":[33],"studying":[35],"solution.":[40],"Besides,":[41],"spatio-temporal":[43],"interaction":[47],"phenomenon":[48],"lump-N-soliton":[50,59,65,91,100,144],"(N\u2192\u221e)":[51],"is":[52,60,69],"studied.":[53],"An":[54],"existence":[55],"theorem":[56,80],"about":[57],"given":[61,79],"proved.":[63],"The":[64],"combinations":[68],"studied":[70],"to":[71],"show":[72,95],"correctness":[74],"effectiveness":[76],"corollary,":[82],"such":[83],"as":[84],"lump-cos":[85],"type,":[86],"lump-double":[87],"breathers":[88],"type":[89],"type.":[92],"To":[93],"better":[94],"evolutionary":[97],"change":[103],"soliton":[105],"number":[106],"N":[107],"time":[109],"t,":[110],"give":[112],"some":[113,120],"three-dimensional":[114],"structure":[115],"figure":[116],"projections.":[118],"Finally,":[119],"novel":[121],"non-linear":[122],"dynamical":[123],"behaviours,":[124],"including":[125],"breathers,":[129],"emergence":[131],"solutions,":[134],"fission":[136],"fusion":[138],"lump-N-soliton,":[140],"superposition":[142],"so":[146],"on,":[147],"analysed":[148],"simulated.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}