{"id":"https://openalex.org/W2071996552","doi":"https://doi.org/10.1103/physreve.56.4725","title":"Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity","display_name":"Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity","publication_year":1997,"publication_date":"1997-10-01","ids":{"openalex":"https://openalex.org/W2071996552","doi":"https://doi.org/10.1103/physreve.56.4725","mag":"2071996552"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.56.4725","doi":"https://doi.org/10.1103/physreve.56.4725","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.56.4725","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5090892882","display_name":"Boris A. Malomed","orcid":"https://orcid.org/0000-0001-5323-1847","observed_orcids":["https://orcid.org/0000-0001-5323-1847"]},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Boris A. Malomed","raw_affiliation_strings":["Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048769462","display_name":"P. D. Drummond","orcid":"https://orcid.org/0000-0003-4763-8549","observed_orcids":["https://orcid.org/0000-0003-4763-8549"]},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU","IL"],"is_corresponding":false,"raw_author_name":"P. Drummond","raw_affiliation_strings":["Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","Department of Physics, University of Queensland, St. Lucia, Queensland 4067, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Physics, University of Queensland, St. Lucia, Queensland 4067, Australia","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101543198","display_name":"Hao He","orcid":"https://orcid.org/0000-0002-2121-2745","observed_orcids":["https://orcid.org/0000-0002-2121-2745"]},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU","IL"],"is_corresponding":false,"raw_author_name":"H. He","raw_affiliation_strings":["Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","Department of Physics, University of Queensland, St. Lucia, Queensland 4067, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Physics, University of Queensland, St. Lucia, Queensland 4067, Australia","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046586814","display_name":"A. Berntson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["IL","SE"],"is_corresponding":false,"raw_author_name":"A. Berntson","raw_affiliation_strings":["Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","Institute for Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg, S-41296, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Institute for Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg, S-41296, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111724945","display_name":"Dan Anderson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["IL","SE"],"is_corresponding":false,"raw_author_name":"D. Anderson","raw_affiliation_strings":["Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","Institute for Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg, S-41296, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Institute for Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg, S-41296, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040528981","display_name":"M. Lisak","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["IL","SE"],"is_corresponding":false,"raw_author_name":"M. Lisak","raw_affiliation_strings":["Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","Institute for Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg, S-41296, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Institute for Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg, S-41296, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.4311,"has_fulltext":false,"cited_by_count":172,"citation_normalized_percentile":{"value":0.99232688,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"56","issue":"4","first_page":"4725","last_page":"4735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic 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"}},"topics":[{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic 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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.0032999999821186066,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/spatiotemporal-solitons","display_name":"spatiotemporal solitons","score":1.0},{"id":"https://openalex.org/keywords/second-harmonic-generation","display_name":"second harmonic generation","score":0.9110000133514404},{"id":"https://openalex.org/keywords/second-order-nonlinearity","display_name":"quadratic nonlinearity","score":0.9860000014305115},{"id":"https://openalex.org/keywords/anomalous-dispersion","display_name":"anomalous dispersion","score":0.6069999933242798},{"id":"https://openalex.org/keywords/soliton-stability","display_name":"soliton stability","score":0.8629999756813049},{"id":"https://openalex.org/keywords/variational-approximation","display_name":"variational approximation","score":0.9229999780654907},{"id":"https://openalex.org/keywords/internal-oscillations","display_name":"internal oscillations","score":0.652999997138977},{"id":"https://openalex.org/keywords/radiation-damping","display_name":"radiation damping","score":0.6259999871253967},{"id":"https://openalex.org/keywords/dispersive-media","display_name":"dispersive media","score":0.6359999775886536}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8226592540740967},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.6416144967079163},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5998942255973816},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5813190937042236},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5620452761650085},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5314499139785767},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5033480525016785},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.48628079891204834},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.43495532870292664},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.42994797229766846},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.42531663179397583},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.41604623198509216},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.391740620136261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13229042291641235},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1103/physreve.56.4725","doi":"https://doi.org/10.1103/physreve.56.4725","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.56.4725","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1964844805","https://openalex.org/W1975379719","https://openalex.org/W1979778957","https://openalex.org/W1984297500","https://openalex.org/W1986138859","https://openalex.org/W1987590621","https://openalex.org/W1993958099","https://openalex.org/W1995724354","https://openalex.org/W1999966060","https://openalex.org/W2002888991","https://openalex.org/W2006124215","https://openalex.org/W2012928224","https://openalex.org/W2013678253","https://openalex.org/W2014989980","https://openalex.org/W2023192289","https://openalex.org/W2024747269","https://openalex.org/W2027740363","https://openalex.org/W2045641787","https://openalex.org/W2045729022","https://openalex.org/W2050330601","https://openalex.org/W2079031520","https://openalex.org/W2081293755","https://openalex.org/W2090529081","https://openalex.org/W2093234799","https://openalex.org/W2125163767","https://openalex.org/W2996607077"],"related_works":["https://openalex.org/W1607453501","https://openalex.org/W2002417280","https://openalex.org/W2039034957","https://openalex.org/W2621286059","https://openalex.org/W2065333847","https://openalex.org/W2008372496","https://openalex.org/W1989550586","https://openalex.org/W2038505012","https://openalex.org/W2749545083","https://openalex.org/W2144729042"],"abstract_inverted_index":{"We":[0,87],"consider":[1],"solutions":[2,66,136],"to":[3,67,107],"the":[4,15,38,62,65,74,78,84,103,108,138,142,145,162,169,177,194,201],"second-harmonic":[5,202],"generation":[6],"equations":[7,143],"in":[8,14,20,32,48,102,148,193],"two-":[9],"and":[10,22,95,172],"three-dimensional":[11],"dispersive":[12],"media":[13],"form":[16,52],"of":[17,55,64,137,141,179,196],"solitons":[18,39,92,117,147,158],"localized":[19],"space":[21],"time.":[23],"As":[24],"is":[25,36,46],"known,":[26],"collapse":[27],"does":[28],"not":[29],"take":[30],"place":[31],"these":[33,123],"models,":[34],"which":[35,59],"why":[37],"may":[40],"be":[41,68],"stable.":[42,97],"The":[43],"general":[44,104],"solution":[45],"obtained":[47],"an":[49],"approximate":[50],"analytical":[51],"by":[53,83],"means":[54],"a":[56],"variational":[57,85],"approach,":[58],"also":[60],"allows":[61],"stability":[63],"predicted.":[69],"Then,":[70],"we":[71],"directly":[72],"simulate":[73],"two-dimensional":[75],"case,":[76,105],"taking":[77],"initial":[79],"configuration":[80],"as":[81],"suggested":[82],"approximation.":[86],"thus":[88],"demonstrate":[89],"that":[90],"spatiotemporal":[91],"indeed":[93],"exist":[94,159],"are":[96,100,191],"Furthermore,":[98],"they":[99,129],"not,":[101],"equivalent":[106],"previously":[109],"known":[110],"cylindrical":[111],"spatial":[112],"solitons.":[113],"Direct":[114],"simulations":[115],"generate":[116],"with":[118],"some":[119],"internal":[120,154],"oscillations.":[121,155],"However,":[122],"oscillations":[124],"neither":[125],"grow":[126],"nor":[127],"do":[128],"exhibit":[130],"any":[131],"significant":[132],"radiative":[133],"damping.":[134],"Numerical":[135],"stationary":[139],"version":[140],"produce":[144],"same":[146],"their":[149],"unperturbed":[150],"form,":[151],"i.e.,":[152],"without":[153],"Strictly":[156],"stable":[157],"only":[160],"if":[161],"system":[163],"has":[164],"anomalous":[165],"dispersion":[166,181,199],"at":[167,182,200],"both":[168],"fundamental":[170],"harmonic":[171,174],"second":[173],"(SH),":[175],"including":[176],"case":[178],"zero":[180],"SH.":[183],"Quasistationary":[184],"solitons,":[185],"decaying":[186],"extremely":[187],"slowly":[188],"into":[189],"radiation,":[190],"found":[192],"presence":[195],"weak":[197],"normal":[198],"frequency.":[203]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
