{"id":"https://openalex.org/W7212146147","doi":"https://doi.org/10.48550/arxiv.2609.10389","title":"Fast Synergetic Simulation to Study Slow Evolution of Soliton Patterns in Optical Resonators","display_name":"Fast Synergetic Simulation to Study Slow Evolution of Soliton Patterns in Optical Resonators","publication_year":2026,"publication_date":"2026-09-09","ids":{"openalex":"https://openalex.org/W7212146147","doi":"https://doi.org/10.48550/arxiv.2609.10389"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.10389","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10389","pdf_url":"https://arxiv.org/pdf/2609.10389","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.10389","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009888104","display_name":"Samima Akter","orcid":"https://orcid.org/0000-0001-8192-486X","observed_orcids":["https://orcid.org/0000-0001-8192-486X"]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Akter, Sanzida","raw_affiliation_strings":["University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083054243","display_name":"Pradyoth H. Shandilya","orcid":"https://orcid.org/0009-0004-6017-347X","observed_orcids":["https://orcid.org/0009-0004-6017-347X"]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shandilya, Pradyoth","raw_affiliation_strings":["University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063962040","display_name":"Logan Courtright","orcid":"https://orcid.org/0009-0003-0798-6546","observed_orcids":["https://orcid.org/0009-0003-0798-6546"]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Courtright, Logan","raw_affiliation_strings":["University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126444682","display_name":"Amir Leshem","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Leshem, Amir","raw_affiliation_strings":["Racah Institute of Physics , The Hebrew University , Jerusalem , 9190401 , Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Racah Institute of Physics , The Hebrew University , Jerusalem , 9190401 , Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087345291","display_name":"Giuseppe D\u2019Aguanno","orcid":"https://orcid.org/0000-0002-7132-0103","observed_orcids":["https://orcid.org/0000-0002-7132-0103"]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D'Aguanno, Giuseppe","raw_affiliation_strings":["University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057896594","display_name":"Omri Gat","orcid":"https://orcid.org/0000-0001-8053-0375","observed_orcids":["https://orcid.org/0000-0001-8053-0375"]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Gat, Omri","raw_affiliation_strings":["Racah Institute of Physics , The Hebrew University , Jerusalem , 9190401 , Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Racah Institute of Physics , The Hebrew University , Jerusalem , 9190401 , Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125400976","display_name":"Curtis R. Menyuk","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Menyuk, Curtis R.","raw_affiliation_strings":["University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland , Baltimore County , 1000 Hilltop Circle , Baltimore , Maryland , 21250 , USA","institution_ids":["https://openalex.org/I79272384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.4287000000476837,"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"}},"topics":[{"id":"https://openalex.org/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.4287000000476837,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.29350000619888306,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.08219999819993973,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/dissipative-kerr-solitons","display_name":"dissipative Kerr solitons","score":0.9390000104904175},{"id":"https://openalex.org/keywords/soliton-molecules","display_name":"soliton molecules","score":0.9629999995231628},{"id":"https://openalex.org/keywords/stiff-differential-equations","display_name":"stiff ordinary differential equations","score":0.6010000109672546},{"id":"https://openalex.org/keywords/nonlinear-optical-resonators","display_name":"nonlinear optical resonators","score":0.8330000042915344},{"id":"https://openalex.org/keywords/pattern-formation","display_name":"pattern formation","score":0.5799999833106995},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6906999945640564},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6391000151634216},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.621999979019165},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.5745999813079834},{"id":"https://openalex.org/C97126364","wikidata":"https://www.wikidata.org/wiki/Q349669","display_name":"Resonator","level":2,"score":0.46860000491142273},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4413999915122986},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4399000108242035},{"id":"https://openalex.org/C176672485","wikidata":"https://www.wikidata.org/wiki/Q883038","display_name":"Kerr effect","level":3,"score":0.42149999737739563},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3986000120639801},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.3984000086784363},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37869998812675476},{"id":"https://openalex.org/C78854221","wikidata":"https://www.wikidata.org/wiki/Q756033","display_name":"Nonlinear optics","level":3,"score":0.33719998598098755},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C67809727","wikidata":"https://www.wikidata.org/wiki/Q5282783","display_name":"Dissipative soliton","level":4,"score":0.29030001163482666},{"id":"https://openalex.org/C190269828","wikidata":"https://www.wikidata.org/wiki/Q6856168","display_name":"Optical cavity","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.10389","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10389","pdf_url":"https://arxiv.org/pdf/2609.10389","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"doi:10.48550/arxiv.2609.10389","doi":"https://doi.org/10.48550/arxiv.2609.10389","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.10389","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.10389","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10389","pdf_url":"https://arxiv.org/pdf/2609.10389","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212146147.pdf","grobid_xml":"https://content.openalex.org/works/W7212146147.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7126026026","https://openalex.org/W4408612077","https://openalex.org/W4404922381","https://openalex.org/W4290714021","https://openalex.org/W2613658449","https://openalex.org/W2735733465","https://openalex.org/W2002993994","https://openalex.org/W3097540995","https://openalex.org/W6948498557","https://openalex.org/W2417607839"],"abstract_inverted_index":{"Complex":[0],"patterns":[1],"in":[2,105,112,161],"physical":[3],"and":[4,47,88,143],"biological":[5],"systems":[6,163],"often":[7],"emerge":[8],"through":[9],"slow":[10,158],"collective":[11],"dynamics":[12,55,126,138],"governed":[13],"by":[14],"a":[15,76,140],"small":[16,71],"number":[17],"of":[18,53,99,120,139,146],"key":[19],"variables.":[20],"In":[21],"nonlinear":[22,162],"optical":[23],"resonators,":[24],"dissipative":[25],"Kerr":[26,114],"solitons":[27,36],"provide":[28],"an":[29,147,153],"important":[30],"example,":[31],"where":[32],"interactions":[33],"between":[34],"well-separated":[35],"can":[37],"evolve":[38],"over":[39],"timescales":[40],"far":[41],"longer":[42],"than":[43,102],"the":[44,79,90,116,135,144],"characteristic":[45],"loss":[46],"gain":[48],"timescales.":[49,129,167],"Direct":[50],"numerical":[51,77],"simulation":[52],"these":[54,84],"is":[56],"challenging":[57],"because":[58],"stiffness":[59],"forces":[60],"conventional":[61,106],"methods":[62],"to":[63,109,122,133],"resolve":[64],"many":[65,97],"rapidly":[66,85],"damped":[67,86],"degrees-of-freedom":[68,87],"with":[69,164],"very":[70],"time":[72,95],"steps.":[73],"We":[74,130],"present":[75],"scheme,":[78],"synergetic":[80],"method,":[81],"that":[82],"eliminates":[83],"retains":[89],"slowly":[91],"evolving":[92],"modes,":[93],"enabling":[94],"steps":[96],"orders":[98],"magnitude":[100],"larger":[101],"those":[103],"used":[104],"approaches.":[107],"Applied":[108],"soliton":[110],"molecules":[111],"driven":[113],"cavities,":[115],"method":[117],"achieves":[118],"speedups":[119],"$10^3$":[121],"$10^5$":[123],"while":[124],"capturing":[125],"on":[127],"laboratory":[128],"use":[131],"it":[132],"model":[134],"full":[136],"interaction":[137],"three-soliton":[141],"molecule":[142],"evolution":[145],"eight-soliton":[148],"molecule.":[149],"The":[150],"approach":[151],"provides":[152],"efficient":[154],"framework":[155],"for":[156],"studying":[157],"pattern":[159],"formation":[160],"widely":[165],"separated":[166]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-11T00:00:00"}
