{"id":"https://openalex.org/W3026560535","doi":"https://doi.org/10.1155/2020/2642654","title":"Families of Rational and Semirational Solutions of the Partial Reverse Space-Time Nonlocal Mel\u2032nikov Equation","display_name":"Families of Rational and Semirational Solutions of the Partial Reverse Space-Time Nonlocal Mel\u2032nikov Equation","publication_year":2020,"publication_date":"2020-05-22","ids":{"openalex":"https://openalex.org/W3026560535","doi":"https://doi.org/10.1155/2020/2642654","mag":"3026560535"},"language":"en","primary_location":{"id":"doi:10.1155/2020/2642654","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/2642654","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/2642654.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/2642654.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100431907","display_name":"Wei Liu","orcid":"https://orcid.org/0009-0006-8995-6640"},"institutions":[{"id":"https://openalex.org/I83776822","display_name":"Shandong Institute of Business and Technology","ror":"https://ror.org/03rrkrc24","country_code":"CN","type":"education","lineage":["https://openalex.org/I83776822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Liu","raw_affiliation_strings":["College of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China","institution_ids":["https://openalex.org/I83776822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089036855","display_name":"Zhenyun Qin","orcid":"https://orcid.org/0000-0002-2169-8917"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenyun Qin","raw_affiliation_strings":["School of Mathematics and Key Laboratory for Nonlinear Mathematical Models and Methods, Fudan University, Shanghai 200433, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Key Laboratory for Nonlinear Mathematical Models and Methods, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108766566","display_name":"K. W. Chow","orcid":"https://orcid.org/0000-0001-8763-2649"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Kwok Wing Chow","raw_affiliation_strings":["Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078081085","display_name":"Sen\u2010Yue Lou","orcid":"https://orcid.org/0000-0002-9208-3450"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Senyue Lou","raw_affiliation_strings":["Department of Physics, Ningbo University, Ningbo, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Ningbo University, Ningbo, Zhejiang, China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089036855"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.6639,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.66808358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"18"},"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":0.9994999766349792,"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":0.9965999722480774,"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/scalar-field","display_name":"Scalar field","score":0.6776369214057922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.646136462688446},{"id":"https://openalex.org/keywords/breather","display_name":"Breather","score":0.5765191316604614},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5746488571166992},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5379437208175659},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5215187668800354},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4859415292739868},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4600318670272827},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4238927960395813},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.42315050959587097},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.2547069787979126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19619813561439514},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18926486372947693},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1719835102558136},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1042754054069519},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10178777575492859}],"concepts":[{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.6776369214057922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.646136462688446},{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.5765191316604614},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5746488571166992},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5379437208175659},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5215187668800354},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4859415292739868},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4600318670272827},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4238927960395813},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.42315050959587097},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2547069787979126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19619813561439514},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18926486372947693},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1719835102558136},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1042754054069519},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10178777575492859},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2020/2642654","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/2642654","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/2642654.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a7b8577aca664bfaba5b1f6e0faa8a11","is_oa":true,"landing_page_url":"https://doaj.org/article/a7b8577aca664bfaba5b1f6e0faa8a11","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/2642654","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/2642654","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/2642654.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1185834241","display_name":null,"funder_award_id":"11975131","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1465480777","display_name":null,"funder_award_id":"14PJD007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1880994703","display_name":null,"funder_award_id":"1411018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2188247758","display_name":null,"funder_award_id":"1411018","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G2382031853","display_name":null,"funder_award_id":"1411018","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G2861950923","display_name":null,"funder_award_id":"11801321","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2894785031","display_name":null,"funder_award_id":"14PJD007","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G2914144034","display_name":null,"funder_award_id":"17200718","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3590088323","display_name":null,"funder_award_id":"11801321","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G3633743742","display_name":null,"funder_award_id":"14ZR1403500","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G3731860987","display_name":null,"funder_award_id":"HKU 17200815","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G3901180386","display_name":null,"funder_award_id":"11571079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4212118923","display_name":null,"funder_award_id":"HKU 17200815","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G4272091241","display_name":null,"funder_award_id":"14ZR1403500","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G4698824380","display_name":null,"funder_award_id":"14ZR1403500","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4834763734","display_name":null,"funder_award_id":"11975131","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G4982269740","display_name":null,"funder_award_id":"11975131","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G6182522299","display_name":null,"funder_award_id":"17200718","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G635742255","display_name":null,"funder_award_id":"11801321","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G6554951291","display_name":null,"funder_award_id":"14PJD007","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G7557231600","display_name":null,"funder_award_id":"17200718","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G8044659213","display_name":null,"funder_award_id":"11571079","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G8328332231","display_name":null,"funder_award_id":"HKU 17200815","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G86940302","display_name":null,"funder_award_id":"11571079","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"}],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321851","display_name":"Fudan University","ror":"https://ror.org/013q1eq08"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3026560535.pdf","grobid_xml":"https://content.openalex.org/works/W3026560535.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W177104481","https://openalex.org/W821636499","https://openalex.org/W1528022264","https://openalex.org/W1651285758","https://openalex.org/W1973926420","https://openalex.org/W1975921403","https://openalex.org/W1983326071","https://openalex.org/W1996085957","https://openalex.org/W1998393368","https://openalex.org/W2001284244","https://openalex.org/W2004613729","https://openalex.org/W2012269360","https://openalex.org/W2027565618","https://openalex.org/W2030251701","https://openalex.org/W2040610190","https://openalex.org/W2061055205","https://openalex.org/W2068687201","https://openalex.org/W2107756072","https://openalex.org/W2227000832","https://openalex.org/W2239604559","https://openalex.org/W2270792824","https://openalex.org/W2277090296","https://openalex.org/W2291290763","https://openalex.org/W2314520473","https://openalex.org/W2315453044","https://openalex.org/W2322468054","https://openalex.org/W2328308407","https://openalex.org/W2332954683","https://openalex.org/W2380795121","https://openalex.org/W2389247390","https://openalex.org/W2409714022","https://openalex.org/W2414983155","https://openalex.org/W2418983692","https://openalex.org/W2467597338","https://openalex.org/W2479534166","https://openalex.org/W2509826236","https://openalex.org/W2513789418","https://openalex.org/W2522357283","https://openalex.org/W2531289303","https://openalex.org/W2538976595","https://openalex.org/W2557755789","https://openalex.org/W2580812336","https://openalex.org/W2597075424","https://openalex.org/W2599129240","https://openalex.org/W2609421580","https://openalex.org/W2619995975","https://openalex.org/W2656858411","https://openalex.org/W2761690065","https://openalex.org/W2773210494","https://openalex.org/W2791638255","https://openalex.org/W2883519241","https://openalex.org/W2889178610","https://openalex.org/W2952240344","https://openalex.org/W2963422563","https://openalex.org/W2964122775","https://openalex.org/W2972231731","https://openalex.org/W3104504853","https://openalex.org/W3182739808"],"related_works":["https://openalex.org/W2269714044","https://openalex.org/W2026236086","https://openalex.org/W3023205431","https://openalex.org/W2030584041","https://openalex.org/W2036284152","https://openalex.org/W4376111694","https://openalex.org/W2962981996","https://openalex.org/W4311897186","https://openalex.org/W1581086470","https://openalex.org/W1491308548"],"abstract_inverted_index":{"Exact":[0],"periodic":[1,87,125],"and":[2,70,81,97,107,132],"localized":[3,101],"solutions":[4,88,102,112,126,152],"of":[5,33,56,62,93,118,151],"a":[6,24,47,78,158],"nonlocal":[7,19,34,57],"Mel\u2032nikov":[8,141],"equation":[9,163],"are":[10,113,127],"derived":[11],"by":[12,115],"the":[13,30,73,91,121,139,143,148,161,167],"Hirota":[14,122],"bilinear":[15],"method.":[16],"Many":[17],"conventional":[18],"operators":[20],"involve":[21],"integration":[22],"over":[23],"spatial":[25,68],"or":[26],"temporal":[27],"domain.":[28],"However,":[29],"present":[31,54,149],"class":[32],"equations":[35,60],"depends":[36],"on":[37],"properties":[38],"at":[39],"selected":[40],"far":[41],"field":[42,146],"points":[43],"which":[44],"result":[45],"in":[46,66,120,147],"potential":[48],"satisfying":[49],"parity":[50],"time":[51],"symmetry.":[52],"The":[53,86,100],"system":[55],"partial":[58],"differential":[59],"consists":[61],"two":[63,67],"dependent":[64,74],"variables":[65,75],"dimensions":[69],"time,":[71],"where":[72],"physically":[76],"represent":[77],"wave":[79],"packet":[80],"an":[82],"auxiliary":[83,144],"scalar":[84,145],"field.":[85],"may":[89],"take":[90],"forms":[92],"breathers":[94],"(pulsating":[95],"modes)":[96],"line":[98],"solitons.":[99],"can":[103,153,164],"include":[104],"propagating":[105],"lumps":[106],"rogue":[108],"waves.":[109],"These":[110],"nonsingular":[111],"obtained":[114],"appropriate":[116],"choice":[117],"parameters":[119],"expansion.":[123],"Doubly":[124],"also":[128],"computed":[129],"with":[130,138],"elliptic":[131],"theta":[133],"functions.":[134],"In":[135],"sharp":[136],"contrast":[137],"local":[140],"equation,":[142],"set":[150],"attain":[154],"complex":[155],"values.":[156],"Through":[157],"coordinate":[159],"transformation,":[160],"governing":[162],"reduce":[165],"to":[166],"Schr\u00f6dinger\u2013Boussinesq":[168],"system.":[169]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
