{"id":"https://openalex.org/W4415307377","doi":"https://doi.org/10.1137/24m1710036","title":"The KP Equation of Plane Elastodynamics","display_name":"The KP Equation of Plane Elastodynamics","publication_year":2025,"publication_date":"2025-07-18","ids":{"openalex":"https://openalex.org/W4415307377","doi":"https://doi.org/10.1137/24m1710036"},"language":"en","primary_location":{"id":"doi:10.1137/24m1710036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1710036","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.1137/24M1710036","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012185705","display_name":"Harold Berjamin","orcid":"https://orcid.org/0000-0001-6637-8485"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Harold Berjamin","raw_affiliation_strings":["School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037164532","display_name":"Michel Destrade","orcid":"https://orcid.org/0000-0002-6266-1221"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Michel Destrade","raw_affiliation_strings":["School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051001317","display_name":"Giuseppe Saccomandi","orcid":"https://orcid.org/0000-0001-7987-8892"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giuseppe Saccomandi","raw_affiliation_strings":["Dipartimento di Ingegneria, Universit\u00e0 degli Studi di Perugia, 06125 Perugia, Italy, and School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria, Universit\u00e0 degli Studi di Perugia, 06125 Perugia, Italy, and School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012185705"],"corresponding_institution_ids":["https://openalex.org/I188760350"],"apc_list":null,"apc_paid":null,"fwci":0.7477,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76654194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"85","issue":"4","first_page":"1458","last_page":"1474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9235000014305115,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9235000014305115,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9186999797821045,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.710099995136261},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6395000219345093},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5913000106811523},{"id":"https://openalex.org/keywords/dispersive-partial-differential-equation","display_name":"Dispersive partial differential equation","score":0.5888000130653381},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5813000202178955},{"id":"https://openalex.org/keywords/kadomtsev\u2013petviashvili-equation","display_name":"Kadomtsev\u2013Petviashvili equation","score":0.5616000294685364},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4993000030517578},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4611999988555908},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4526999890804291}],"concepts":[{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.710099995136261},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6739000082015991},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6395000219345093},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5913000106811523},{"id":"https://openalex.org/C108779253","wikidata":"https://www.wikidata.org/wiki/Q5282591","display_name":"Dispersive partial differential equation","level":3,"score":0.5888000130653381},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5813000202178955},{"id":"https://openalex.org/C159785203","wikidata":"https://www.wikidata.org/wiki/Q6345653","display_name":"Kadomtsev\u2013Petviashvili equation","level":4,"score":0.5616000294685364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5462999939918518},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4993000030517578},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4489000141620636},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.43290001153945923},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43070000410079956},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.41819998621940613},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.36890000104904175},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.3626999855041504},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.335099995136261},{"id":"https://openalex.org/C4188701","wikidata":"https://www.wikidata.org/wiki/Q5282585","display_name":"Dispersionless equation","level":5,"score":0.32089999318122864},{"id":"https://openalex.org/C2993039763","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Wave motion","level":2,"score":0.31619998812675476},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.30790001153945923},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.29319998621940613},{"id":"https://openalex.org/C33163149","wikidata":"https://www.wikidata.org/wiki/Q1785085","display_name":"Method of characteristics","level":3,"score":0.27970001101493835},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.27869999408721924},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.2639999985694885},{"id":"https://openalex.org/C134206417","wikidata":"https://www.wikidata.org/wiki/Q2311789","display_name":"Split-step method","level":3,"score":0.26269999146461487}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/24m1710036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1710036","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:https://researchrepository.universityofgalway.ie:10379/19087","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24M1710036","pdf_url":null,"source":{"id":"https://openalex.org/S4377196322","display_name":"ARAN (University of Galway Research Repository) (Ollscoil na Gaillimhe \u2013 University of Galway)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I188760350","host_organization_name":"Ollscoil na Gaillimhe \u2013 University of Galway","host_organization_lineage":["https://openalex.org/I188760350"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"1474","raw_type":"journal article"},{"id":"pmh:oai:arXiv.org:2504.17411","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.17411","pdf_url":"https://arxiv.org/pdf/2504.17411","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:https://researchrepository.universityofgalway.ie:10379/19087","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24M1710036","pdf_url":null,"source":{"id":"https://openalex.org/S4377196322","display_name":"ARAN (University of Galway Research Repository) (Ollscoil na Gaillimhe \u2013 University of Galway)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I188760350","host_organization_name":"Ollscoil na Gaillimhe \u2013 University of Galway","host_organization_lineage":["https://openalex.org/I188760350"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"1474","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1535140372","https://openalex.org/W1561892995","https://openalex.org/W1606777826","https://openalex.org/W1971068036","https://openalex.org/W1973262080","https://openalex.org/W1981573903","https://openalex.org/W1985167223","https://openalex.org/W2011345300","https://openalex.org/W2012155568","https://openalex.org/W2012738836","https://openalex.org/W2020309568","https://openalex.org/W2022025639","https://openalex.org/W2026188005","https://openalex.org/W2026880804","https://openalex.org/W2049750273","https://openalex.org/W2068340356","https://openalex.org/W2075363900","https://openalex.org/W2077530814","https://openalex.org/W2078091807","https://openalex.org/W2083960709","https://openalex.org/W2089901356","https://openalex.org/W2090624304","https://openalex.org/W2091568985","https://openalex.org/W2092726303","https://openalex.org/W2106967986","https://openalex.org/W2107548397","https://openalex.org/W2167081040","https://openalex.org/W2253235367","https://openalex.org/W2330336871","https://openalex.org/W2728069578","https://openalex.org/W3198170000","https://openalex.org/W4232650420","https://openalex.org/W4249311024","https://openalex.org/W4294974776","https://openalex.org/W4302224132","https://openalex.org/W4404353991"],"related_works":[],"abstract_inverted_index":{"The":[0],"propagation":[1],"of":[2,43,62,70],"nonlinear":[3],"and":[4,77],"dispersive":[5],"waves":[6],"in":[7,59],"various":[8],"materials":[9],"can":[10,35],"be":[11,36],"described":[12],"by":[13],"the":[14,32,40,60],"well-known":[15],"Kadomtsev-Petviashvili":[16],"(KP)":[17],"equation,":[18],"which":[19],"is":[20,57],"a":[21,50,80],"(2+1)-dimensional":[22],"partial":[23,72],"differential":[24,73],"equation.":[25],"In":[26,84],"this":[27],"paper,":[28],"we":[29],"show":[30],"that":[31],"KP":[33,52],"equation":[34,53],"used":[37],"to":[38],"describe":[39],"in-plane":[41],"motion":[42],"compressible":[44],"elastic":[45],"solids":[46,64],"with":[47,54,65],"dispersion.":[48,66],"Furthermore,":[49],"modified":[51],"cubic":[55],"nonlinearity":[56],"obtained":[58],"case":[61],"incompressible":[63],"Then,":[67],"several":[68],"solutions":[69],"these":[71],"equations":[74,87],"are":[75],"discussed":[76],"computed":[78],"using":[79],"Fourier":[81],"spectral":[82],"method.":[83],"particular,":[85],"both":[86],"admit":[88],"solitary":[89],"wave":[90],"solutions.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-18T00:00:00"}