{"id":"https://openalex.org/W2008833942","doi":"https://doi.org/10.1142/s0218127404009211","title":"A PANORAMIC VIEW OF SOME PERTURBED NONLINEAR WAVE EQUATIONS","display_name":"A PANORAMIC VIEW OF SOME PERTURBED NONLINEAR WAVE EQUATIONS","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2008833942","doi":"https://doi.org/10.1142/s0218127404009211","mag":"2008833942"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404009211","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009211","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5101570289","display_name":"Salvador Jim\u00e9nez","orcid":"https://orcid.org/0000-0001-5265-7360"},"institutions":[{"id":"https://openalex.org/I4210147442","display_name":"Universidad Alfonso X el Sabio","ror":"https://ror.org/054ewwr15","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210147442"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"S. JIM\u00c9NEZ","raw_affiliation_strings":["Departamento de Matem\u00e1tica y F\u00edsica Aplicadas, Universidad Alfonso X El Sabio, Avda. Universidad 1, 28691-Villanueva de la Ca\u00f1ada, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica y F\u00edsica Aplicadas, Universidad Alfonso X El Sabio, Avda. Universidad 1, 28691-Villanueva de la Ca\u00f1ada, Madrid, Spain","institution_ids":["https://openalex.org/I4210147442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054965918","display_name":"P. Pascual","orcid":"https://orcid.org/0000-0003-0207-3636"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"P. PASCUAL","raw_affiliation_strings":["Departamento de Ingenier\u00eda Inform\u00e1tica, Universidad Aut\u00f3noma de Madrid, Campus de Cantoblanco, Ctra. de Colmenar, km. 15, 28049 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Inform\u00e1tica, Universidad Aut\u00f3noma de Madrid, Campus de Cantoblanco, Ctra. de Colmenar, km. 15, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058325305","display_name":"Carlos Aguirre","orcid":"https://orcid.org/0000-0003-3371-2410"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. AGUIRRE","raw_affiliation_strings":["Departamento de Ingenier\u00eda Inform\u00e1tica, Universidad Aut\u00f3noma de Madrid, Campus de Cantoblanco, Ctra. de Colmenar, km. 15, 28049 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Inform\u00e1tica, Universidad Aut\u00f3noma de Madrid, Campus de Cantoblanco, Ctra. de Colmenar, km. 15, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065856237","display_name":"Luis V\u00e1zquez","orcid":"https://orcid.org/0000-0003-4054-1197"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]},{"id":"https://openalex.org/I4210129022","display_name":"Centro de Astrobiolog\u00eda","ror":"https://ror.org/038szmr31","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210117279","https://openalex.org/I4210129022"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. V\u00c1ZQUEZ","raw_affiliation_strings":["Centro de Astrobiolog\u00eda, CSIC/INTA, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain","Deptartamento de Matem\u00e1tica Aplicada, Facultad de Inform\u00e1tica, Universidad Complutense de Madrid, 28040 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Astrobiolog\u00eda, CSIC/INTA, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain","institution_ids":["https://openalex.org/I4210129022"]},{"raw_affiliation_string":"Deptartamento de Matem\u00e1tica Aplicada, Facultad de Inform\u00e1tica, Universidad Complutense de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.515,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96629492,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"01","first_page":"1","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9991999864578247,"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":0.9988999962806702,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7786777019500732},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.7354733943939209},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.49019986391067505},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.4796486496925354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46421173214912415},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4505062401294708},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4439118504524231},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43567103147506714},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3524833917617798},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34752610325813293},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3123980760574341},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09596359729766846}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7786777019500732},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7354733943939209},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.49019986391067505},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.4796486496925354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46421173214912415},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4505062401294708},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4439118504524231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43567103147506714},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3524833917617798},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34752610325813293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3123980760574341},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09596359729766846},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404009211","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009211","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":121,"referenced_works":["https://openalex.org/W168787952","https://openalex.org/W185525249","https://openalex.org/W194549626","https://openalex.org/W426962928","https://openalex.org/W619315975","https://openalex.org/W757966656","https://openalex.org/W1481897077","https://openalex.org/W1534573938","https://openalex.org/W1570895503","https://openalex.org/W1585641754","https://openalex.org/W1591909544","https://openalex.org/W1965757759","https://openalex.org/W1966841514","https://openalex.org/W1968106586","https://openalex.org/W1969706981","https://openalex.org/W1973279410","https://openalex.org/W1973950856","https://openalex.org/W1974088899","https://openalex.org/W1974984598","https://openalex.org/W1975034694","https://openalex.org/W1979120800","https://openalex.org/W1980978606","https://openalex.org/W1983070591","https://openalex.org/W1983087564","https://openalex.org/W1983377884","https://openalex.org/W1983805255","https://openalex.org/W1983926055","https://openalex.org/W1984019547","https://openalex.org/W1985217215","https://openalex.org/W1986435512","https://openalex.org/W1987668201","https://openalex.org/W1987791583","https://openalex.org/W1988322580","https://openalex.org/W1989467493","https://openalex.org/W1989975837","https://openalex.org/W1991384360","https://openalex.org/W1992544831","https://openalex.org/W1994520194","https://openalex.org/W1995000834","https://openalex.org/W1995177931","https://openalex.org/W1998399701","https://openalex.org/W2004882610","https://openalex.org/W2006020502","https://openalex.org/W2007900721","https://openalex.org/W2008152104","https://openalex.org/W2011543499","https://openalex.org/W2013049049","https://openalex.org/W2017397470","https://openalex.org/W2018730388","https://openalex.org/W2018958698","https://openalex.org/W2019522628","https://openalex.org/W2020223250","https://openalex.org/W2027370019","https://openalex.org/W2027394216","https://openalex.org/W2032405498","https://openalex.org/W2036178769","https://openalex.org/W2037065062","https://openalex.org/W2037343453","https://openalex.org/W2039926331","https://openalex.org/W2041253741","https://openalex.org/W2043913140","https://openalex.org/W2045701663","https://openalex.org/W2046316166","https://openalex.org/W2047217324","https://openalex.org/W2048129990","https://openalex.org/W2048154563","https://openalex.org/W2048230861","https://openalex.org/W2048601940","https://openalex.org/W2051343188","https://openalex.org/W2052045393","https://openalex.org/W2056039520","https://openalex.org/W2060470890","https://openalex.org/W2062310071","https://openalex.org/W2062833140","https://openalex.org/W2063648876","https://openalex.org/W2064260985","https://openalex.org/W2069226173","https://openalex.org/W2070078286","https://openalex.org/W2071132730","https://openalex.org/W2072306326","https://openalex.org/W2075817556","https://openalex.org/W2076571148","https://openalex.org/W2077249909","https://openalex.org/W2079499224","https://openalex.org/W2081591263","https://openalex.org/W2084497571","https://openalex.org/W2084638092","https://openalex.org/W2087208122","https://openalex.org/W2089738933","https://openalex.org/W2090653641","https://openalex.org/W2090778746","https://openalex.org/W2093001693","https://openalex.org/W2096764765","https://openalex.org/W2099321237","https://openalex.org/W2103660039","https://openalex.org/W2114365642","https://openalex.org/W2115600080","https://openalex.org/W2124571160","https://openalex.org/W2132898674","https://openalex.org/W2140222401","https://openalex.org/W2148271773","https://openalex.org/W2175006588","https://openalex.org/W2252525540","https://openalex.org/W2315651828","https://openalex.org/W2441183164","https://openalex.org/W2477321514","https://openalex.org/W2502527594","https://openalex.org/W2791336189","https://openalex.org/W3000211166","https://openalex.org/W3027437715","https://openalex.org/W3036572631","https://openalex.org/W4212785943","https://openalex.org/W4232995451","https://openalex.org/W4233806245","https://openalex.org/W4238233701","https://openalex.org/W4245063634","https://openalex.org/W4246866568","https://openalex.org/W4247288284","https://openalex.org/W4249677596","https://openalex.org/W4285719527","https://openalex.org/W4299637698"],"related_works":["https://openalex.org/W2078609410","https://openalex.org/W2392320810","https://openalex.org/W2387724274","https://openalex.org/W282683215","https://openalex.org/W4239643353","https://openalex.org/W1983265578","https://openalex.org/W2534768866","https://openalex.org/W2368061881","https://openalex.org/W1544640938","https://openalex.org/W3006298906"],"abstract_inverted_index":{"In":[0],"this":[1,43],"paper":[2],"we":[3,23],"present":[4],"a":[5,56,85,100],"panoramic":[6],"view":[7],"of":[8,42,52,62,77,87,95],"numerical":[9,53,72,93],"simulations":[10,94],"associated":[11],"with":[12,25],"nonlinear":[13,35,101],"wave":[14,27,64],"equations":[15,33,65],"which":[16],"appear":[17],"in":[18,34,99],"different":[19],"experimental":[20,89],"contexts.":[21],"Mainly,":[22],"deal":[24],"scalar":[26,63],"equations,":[28],"but":[29],"also":[30],"the":[31,48,92,96],"Maxwell":[32,97],"media":[36,102],"are":[37,66,79],"studied.":[38],"A":[39],"basic":[40],"part":[41],"work":[44],"is":[45,103],"devoted":[46],"to":[47],"construction":[49],"and":[50,71],"verification":[51],"schemes":[54],"on":[55],"physical":[57],"basis.":[58],"The":[59],"stochastic":[60],"perturbations":[61,78],"especially":[67],"analyzed":[68],"by":[69],"analytical":[70],"approaches.":[73],"Also,":[74],"other":[75],"kinds":[76],"considered,":[80],"like":[81],"nonlocal":[82],"ones.":[83],"Finally,":[84],"summary":[86],"promising":[88],"results":[90],"from":[91],"system":[98],"presented.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
