{"id":"https://openalex.org/W1554500649","doi":"https://doi.org/10.1137/050629781","title":"Block-Diagonalization of the Symmetric First-Order Coupled-Mode System","display_name":"Block-Diagonalization of the Symmetric First-Order Coupled-Mode System","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1554500649","doi":"https://doi.org/10.1137/050629781","mag":"1554500649"},"language":"en","primary_location":{"id":"doi:10.1137/050629781","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050629781","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0504442","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103056509","display_name":"Marina Chugunova","orcid":"https://orcid.org/0000-0002-2045-6684"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Marina Chugunova","raw_affiliation_strings":["Department of Mathematics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046714116","display_name":"Dmitry E. Pelinovsky","orcid":"https://orcid.org/0000-0001-5812-440X"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dmitry Pelinovsky","raw_affiliation_strings":["McMaster university#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McMaster university#TAB#","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103056509"],"corresponding_institution_ids":["https://openalex.org/I98251732"],"apc_list":null,"apc_paid":null,"fwci":2.5065,"has_fulltext":true,"cited_by_count":45,"citation_normalized_percentile":{"value":0.88730944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":"1","first_page":"66","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.9990000128746033,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9990000128746033,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9986000061035156,"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":0.9973000288009644,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6993771195411682},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6008472442626953},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5960448980331421},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5630319118499756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5392969250679016},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.46102720499038696},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4522932767868042},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4386633038520813},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41556090116500854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38286292552948},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3327799439430237},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.32347214221954346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.101255863904953}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6993771195411682},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6008472442626953},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5960448980331421},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5630319118499756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5392969250679016},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.46102720499038696},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4522932767868042},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4386633038520813},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41556090116500854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38286292552948},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3327799439430237},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32347214221954346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.101255863904953},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/050629781","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050629781","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0504442","is_oa":true,"landing_page_url":"https://arxiv.org/abs/math/0504442","pdf_url":"https://arxiv.org/pdf/math/0504442","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:arXiv.org:math/0504442","is_oa":true,"landing_page_url":"https://arxiv.org/abs/math/0504442","pdf_url":"https://arxiv.org/pdf/math/0504442","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1490180844","https://openalex.org/W1501956976","https://openalex.org/W1505353425","https://openalex.org/W1563653928","https://openalex.org/W1965778005","https://openalex.org/W1976910392","https://openalex.org/W1990902706","https://openalex.org/W2006579812","https://openalex.org/W2032135816","https://openalex.org/W2037104303","https://openalex.org/W2037152151","https://openalex.org/W2040241353","https://openalex.org/W2045070857","https://openalex.org/W2047132046","https://openalex.org/W2072630461","https://openalex.org/W2075060907","https://openalex.org/W2083676493","https://openalex.org/W2086062613","https://openalex.org/W2086673102","https://openalex.org/W2088384142","https://openalex.org/W2122860281","https://openalex.org/W2134222754","https://openalex.org/W2143437682","https://openalex.org/W2145330424","https://openalex.org/W2239069546","https://openalex.org/W2485016249","https://openalex.org/W2562972486","https://openalex.org/W3102786515"],"related_works":["https://openalex.org/W2135584473","https://openalex.org/W2964223869","https://openalex.org/W2792539140","https://openalex.org/W2005808740","https://openalex.org/W2295130398","https://openalex.org/W2064951085","https://openalex.org/W2626141450","https://openalex.org/W2810740133","https://openalex.org/W2063161885","https://openalex.org/W2962845032"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,26,42,55,59,80],"Hamiltonian":[3],"first-order":[4],"coupled-mode":[5,28],"system":[6,37],"that":[7],"occurs":[8],"in":[9,73],"nonlinear":[10,47],"optics,":[11],"photonics,":[12],"and":[13],"atomic":[14],"physics.":[15],"Spectral":[16],"stability":[17],"of":[18,25,45,54,77],"gap":[19],"solitons":[20],"is":[21,31,71],"determined":[22],"by":[23],"eigenvalues":[24,78],"linearized":[27,56],"system,":[29],"which":[30],"equivalent":[32],"to":[33,63],"a":[34,51],"four-by-four":[35],"Dirac":[36,67],"with":[38,79],"sign-indefinite":[39],"metric.":[40],"In":[41],"special":[43],"class":[44],"symmetric":[46],"potentials,":[48],"we":[49],"construct":[50],"block-diagonal":[52],"representation":[53],"equations,":[57],"when":[58],"spectral":[60],"problem":[61],"reduces":[62],"two":[64],"coupled":[65],"two-by-two":[66],"systems.":[68],"The":[69],"block-diagonalization":[70],"used":[72],"fast":[74],"numerical":[75],"computations":[76],"Chebyshev":[81],"interpolation":[82],"algorithm.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2016-06-24T00:00:00"}