{"id":77149,"date":"2005-11-11T00:00:00","date_gmt":"2005-11-11T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-de-reduccion-de-ecuaciones-diferenciales-aplicacion-a-diversos-modelos-matematicos\/"},"modified":"2005-11-11T00:00:00","modified_gmt":"2005-11-11T00:00:00","slug":"metodos-de-reduccion-de-ecuaciones-diferenciales-aplicacion-a-diversos-modelos-matematicos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/cadiz\/metodos-de-reduccion-de-ecuaciones-diferenciales-aplicacion-a-diversos-modelos-matematicos\/","title":{"rendered":"Metodos de reduccion de ecuaciones diferenciales. aplicacion a diversos modelos matematicos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Soledad Mar\u00eda Saez Martinez <\/strong><\/h2>\n<p>En esta tesis se aplican m\u00e9todos para reducir y encontrar soluciones de ecuaciones en derivadas parciales no lineales integrables. Nos hemos centrado en el estudio de ecuaciones integrables en dimensi\u00f3n (1+1) y ecuaciones integrables en dimensi\u00f3n ( 2+1), siendo este \u00faltimo caso y el caso de sistemas integrables en dimensiones superiores uno de los temas centrales en el estudio de sistemas integrables.  la tesis ha sido estructurada en cinco cap\u00edtulos. El cap\u00edtulo i lo dedicamos a expresar los resultado conocidos m\u00e1s importantes que se utilizan en el resto de la memoria. En los cap\u00edtulos ii,iii,iv y v se analizan exhaustivamente ecuaciones en derivadas parciales de gran inter\u00e9s aplicando la teor\u00eda de grupos de lie. Las ecuaciones estudiadas son: la ecuacion de cal\u00f3gero-degasperis-fokas de dimensi\u00f3n (1+1), la ecuaci\u00f3n de cal\u00f3gero-degasperis-fokas de dimensi\u00f3n (2+1), la ecuaci\u00f3n de cal\u00f3gero-bogoyalenskii-scheiff de dimensi\u00f3n (2+1) y la ecuaci\u00f3n con difusi\u00f3n lineal.  en la mayor\u00eda de los casos obtenemos gran cantidad de ecuaciones ordinarias reducidas a  partir de las ecuaciones enteriores que pueden reducirse a las ecuaciones de painleve pii y piii o cuyas soluciones pueden expresarse en t\u00e9rminos de funciones el\u00edpticas y otras funciones conocidas. Se obtiene soluciones de gran inter\u00e9s como son las soluciones de onda viajera. En particular se obtienen ondas solitarias.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos de reduccion de ecuaciones diferenciales. aplicacion a diversos modelos matematicos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos de reduccion de ecuaciones diferenciales. aplicacion a diversos modelos matematicos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Soledad Mar\u00eda Saez Martinez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 C\u00e1diz<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/11\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Mar\u00eda  Luz Gandarias N\u00fa\u00f1ez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  Luis Romero romero <\/li>\n<li>rita Tracina (vocal)<\/li>\n<li>Jos\u00e9 Miguel Pacheco castelao (vocal)<\/li>\n<li>Mar\u00eda no Torrisi (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Soledad Mar\u00eda Saez Martinez En esta tesis se aplican m\u00e9todos para reducir y encontrar soluciones de ecuaciones [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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