{"id":"https://openalex.org/W4404929187","doi":"https://doi.org/10.1080/00207160.2024.2435017","title":"The non-autonomous perturbed potential Kadomtsev\u2013Petviashvili equation: its integrability, kinky-quasiperiodic, kink-like breather, lump-kink solutions with mixed backgrounds","display_name":"The non-autonomous perturbed potential Kadomtsev\u2013Petviashvili equation: its integrability, kinky-quasiperiodic, kink-like breather, lump-kink solutions with mixed backgrounds","publication_year":2024,"publication_date":"2024-12-02","ids":{"openalex":"https://openalex.org/W4404929187","doi":"https://doi.org/10.1080/00207160.2024.2435017"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2435017","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2435017","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/A5114961471","display_name":"N. Hemnath","orcid":null},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. Hemnath","raw_affiliation_strings":["Vellore Institute of Technology Chennai","Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vellore Institute of Technology Chennai","institution_ids":["https://openalex.org/I876193797"]},{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025765722","display_name":"Sandip Saha","orcid":"https://orcid.org/0000-0002-1207-2525"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sandip Saha","raw_affiliation_strings":["Vellore Institute of Technology Chennai","Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vellore Institute of Technology Chennai","institution_ids":["https://openalex.org/I876193797"]},{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071914282","display_name":"Awani Bhushan","orcid":"https://orcid.org/0000-0002-4150-5406"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Awani Bhushan","raw_affiliation_strings":["Vellore Institute of Technology Chennai","School of Mechanical Engineering, Vellore Institute of Technology Chennai, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vellore Institute of Technology Chennai","institution_ids":["https://openalex.org/I876193797"]},{"raw_affiliation_string":"School of Mechanical Engineering, Vellore Institute of Technology Chennai, Chennai, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025765722"],"corresponding_institution_ids":["https://openalex.org/I876193797"],"apc_list":null,"apc_paid":null,"fwci":2.0948,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87527054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"102","issue":"4","first_page":"538","last_page":"560"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/breather","display_name":"Breather","score":0.860977292060852},{"id":"https://openalex.org/keywords/quasiperiodic-function","display_name":"Quasiperiodic function","score":0.7279091477394104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6553773880004883},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5150237083435059},{"id":"https://openalex.org/keywords/kadomtsev\u2013petviashvili-equation","display_name":"Kadomtsev\u2013Petviashvili equation","score":0.433480441570282},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4034649431705475},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3834676742553711},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.34210604429244995},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2954004108905792},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.09466496109962463},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09413167834281921},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.064939945936203}],"concepts":[{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.860977292060852},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.7279091477394104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6553773880004883},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5150237083435059},{"id":"https://openalex.org/C159785203","wikidata":"https://www.wikidata.org/wiki/Q6345653","display_name":"Kadomtsev\u2013Petviashvili equation","level":4,"score":0.433480441570282},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4034649431705475},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3834676742553711},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.34210604429244995},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2954004108905792},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.09466496109962463},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09413167834281921},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.064939945936203}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2435017","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2435017","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":[{"score":0.699999988079071,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":87,"referenced_works":["https://openalex.org/W10743986","https://openalex.org/W95194503","https://openalex.org/W821636499","https://openalex.org/W1661143721","https://openalex.org/W1670899713","https://openalex.org/W1968695977","https://openalex.org/W1973218724","https://openalex.org/W1975853366","https://openalex.org/W1989760690","https://openalex.org/W1997218015","https://openalex.org/W1997901101","https://openalex.org/W2017915829","https://openalex.org/W2019110354","https://openalex.org/W2025713972","https://openalex.org/W2028631394","https://openalex.org/W2036137738","https://openalex.org/W2040463284","https://openalex.org/W2042381599","https://openalex.org/W2067589341","https://openalex.org/W2074724725","https://openalex.org/W2081173623","https://openalex.org/W2083960709","https://openalex.org/W2094295163","https://openalex.org/W2299221572","https://openalex.org/W2326765580","https://openalex.org/W2606288004","https://openalex.org/W2626141657","https://openalex.org/W2752356461","https://openalex.org/W2775808847","https://openalex.org/W2789397922","https://openalex.org/W2790109553","https://openalex.org/W2793831266","https://openalex.org/W2887965685","https://openalex.org/W2898151723","https://openalex.org/W2903556253","https://openalex.org/W2946923363","https://openalex.org/W2947039021","https://openalex.org/W2980104257","https://openalex.org/W2982312521","https://openalex.org/W2982822377","https://openalex.org/W2984851392","https://openalex.org/W2991362353","https://openalex.org/W2996007246","https://openalex.org/W2997410163","https://openalex.org/W3000195945","https://openalex.org/W3000606744","https://openalex.org/W3028302063","https://openalex.org/W3083899668","https://openalex.org/W3133770034","https://openalex.org/W3137083979","https://openalex.org/W3137380823","https://openalex.org/W3141974162","https://openalex.org/W3154146254","https://openalex.org/W3159373329","https://openalex.org/W3164797359","https://openalex.org/W3182804407","https://openalex.org/W3184130694","https://openalex.org/W3195114886","https://openalex.org/W3206396069","https://openalex.org/W3206691018","https://openalex.org/W3208964815","https://openalex.org/W4214701034","https://openalex.org/W4214865472","https://openalex.org/W4280583892","https://openalex.org/W4282912738","https://openalex.org/W4283011397","https://openalex.org/W4307237617","https://openalex.org/W4310114264","https://openalex.org/W4311808029","https://openalex.org/W4321794029","https://openalex.org/W4366165108","https://openalex.org/W4382246255","https://openalex.org/W4385547642","https://openalex.org/W4385565722","https://openalex.org/W4385580383","https://openalex.org/W4388486962","https://openalex.org/W4389490592","https://openalex.org/W4390470812","https://openalex.org/W4390534753","https://openalex.org/W4391276534","https://openalex.org/W4391362907","https://openalex.org/W4392863423","https://openalex.org/W4393137061","https://openalex.org/W4394812818","https://openalex.org/W4399776631","https://openalex.org/W4399982512","https://openalex.org/W4400138651"],"related_works":["https://openalex.org/W3112195757","https://openalex.org/W3206287350","https://openalex.org/W4391047362","https://openalex.org/W1983278479","https://openalex.org/W2597882770","https://openalex.org/W2800674439","https://openalex.org/W1989609681","https://openalex.org/W2586317588","https://openalex.org/W4403685985","https://openalex.org/W3201746215"],"abstract_inverted_index":{"The":[0,23],"integrability":[1],"of":[2,26,36,53,66,75,85,96],"(2+1)-dimensional":[3],"non-autonomous":[4],"perturbed":[5],"potential":[6,103],"Kadomtsev\u2013Petviashvili":[7],"(NpPKP)":[8],"problem":[9,29],"has":[10,30],"been":[11,31],"demonstrated":[12],"in":[13,64,70,93,102],"this":[14],"manuscript":[15],"using":[16,82],"Lax":[17],"pairs":[18],"and":[19,43,55,57,100],"the":[20,27,34,48,58,67,71,76,86],"B\u00e4cklund":[21],"transformation.":[22],"bilinear":[24],"form":[25],"NpPKP":[28],"generated":[32],"with":[33],"help":[35],"Hirota":[37],"polynomial":[38],"technique.":[39],"Using":[40],"test":[41],"function":[42],"N-dimensional":[44],"Riemann":[45],"theta":[46],"function,":[47],"kink-like":[49],"breathers,":[50],"lump-kink,":[51],"interaction":[52],"lump":[54],"shock":[56],"kinky":[59],"quasiperiodic":[60],"are":[61,78],"explored":[62],"analytically":[63],"light":[65],"vector":[68],"selections":[69],"solution":[72],"space.":[73],"Outcomes":[74],"solutions":[77],"plotted":[79],"as":[80],"illustration":[81],"particular":[83],"values":[84],"relevant":[87],"parameters.":[88],"These":[89],"findings":[90],"may":[91],"aid":[92],"our":[94],"understanding":[95],"intriguing":[97],"physical":[98],"events":[99],"mechanisms":[101],"systems.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
