
{"id":29394,"date":"2024-03-12T05:47:05","date_gmt":"2024-03-12T06:47:05","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d9%82%d8%a7%d8%b1%d9%86-%da%af%d8%a7%d9%84%db%8c%d9%84%d9%87-%d8%b3%d9%84%d8%b3%d9%84%d9%87-%d9%85%d8%b1%d8%a7%d8%aa%d8%a8-kdv\/"},"modified":"2024-03-12T05:47:06","modified_gmt":"2024-03-12T06:47:06","slug":"%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d9%82%d8%a7%d8%b1%d9%86-%da%af%d8%a7%d9%84%db%8c%d9%84%d9%87-%d8%b3%d9%84%d8%b3%d9%84%d9%87-%d9%85%d8%b1%d8%a7%d8%aa%d8%a8-kdv","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d9%82%d8%a7%d8%b1%d9%86-%da%af%d8%a7%d9%84%db%8c%d9%84%d9%87-%d8%b3%d9%84%d8%b3%d9%84%d9%87-%d9%85%d8%b1%d8%a7%d8%aa%d8%a8-kdv\/","title":{"rendered":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0642\u0627\u0631\u0646 \u06af\u0627\u0644\u06cc\u0644\u0647 \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KdV"},"content":{"rendered":"<table class=\"table table-striped table-hover\">\n<tbody>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>Galilean symmetry of the KdV hierarchy<\/td>\n<\/tr>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n<td>\u0645\u0642\u0627\u0644\u0647 \u062a\u0642\u0627\u0631\u0646 \u06af\u0627\u0644\u06cc\u0644\u0647 \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KdV<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\n<td>Jianghao Xu, Di Yang<\/td>\n<\/tr>\n<tr>\n<td>\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 <\/td>\n<td>\u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647: <\/td>\n<td>PDF<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n<td>24<\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a  <\/td>\n<td>Mathematical Physics,Algebraic Geometry,Exactly Solvable and Integrable Systems,\u0641\u06cc\u0632\u06cc\u06a9 \u0631\u06cc\u0627\u0636\u06cc , \u0647\u0646\u062f\u0633\u0647 \u062c\u0628\u0631\u06cc , \u062f\u0642\u06cc\u0642\u0627\u064b \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0642\u0627\u0628\u0644 \u062d\u0644 \u0648 \u06cc\u06a9\u067e\u0627\u0631\u0686\u0647 ,<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a    <\/td>\n<td>Submitted 7 March, 2024; originally announced March 2024. , Comments: 24 pages<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc    <\/td>\n<td>\u0627\u0631\u0633\u0627\u0644 7 \u0645\u0627\u0631\u0633 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0645\u0627\u0631\u0633 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f \u060c \u0646\u0638\u0631\u0627\u062a: 24 \u0635\u0641\u062d\u0647<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n<p style=\"direction:ltr;\">By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy. As an application, we establish an explicit relationship between the non-abelian Born&#8211;Infeld partition function and the generalized Br\u00e9zin&#8211;Gross&#8211;Witten partition function.<\/p>\n<h2>\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n<p>\u0628\u0627 \u062d\u0644 \u062a\u0642\u0627\u0631\u0646 \u0628\u06cc \u0646\u0647\u0627\u06cc\u062a \u06af\u0627\u0644\u06cc\u0644\u0647 \u0628\u0631\u0627\u06cc \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KDV \u060c \u0645\u0627 \u06cc\u06a9 \u0628\u06cc\u0627\u0646 \u0635\u0631\u06cc\u062d \u0628\u0631\u0627\u06cc \u06af\u0631\u0648\u0647 \u062f\u0631\u0648\u063a \u06cc\u06a9 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u060c \u06a9\u0647 \u0645\u0627 \u0622\u0646 \u0631\u0627 \u062a\u0642\u0627\u0631\u0646 \u06af\u0627\u0644\u06cc\u0644\u0647 \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KDV \u0645\u06cc \u0646\u0627\u0645\u06cc\u0645 \u060c \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u0645.\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u060c \u0645\u0627 \u06cc\u06a9 \u0631\u0627\u0628\u0637\u0647 \u0635\u0631\u06cc\u062d \u0628\u06cc\u0646 \u0639\u0645\u0644\u06a9\u0631\u062f \u067e\u0627\u0631\u062a\u06cc\u0634\u0646 \u063a\u06cc\u0631 Abelian \u0645\u062a\u0648\u0644\u062f \u0634\u062f\u0647-Infeld \u0648 Br\u00e9zin-Gross-\u0639\u0645\u0644\u06a9\u0631\u062f \u067e\u0627\u0631\u062a\u06cc\u0634\u0646 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<table class=\"table table-bordered table-primary\">\r\n<tr>\r\n\t<td>\r\n\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0627\u0633\u062a.\r\n\t<\/td>\r\n<\/tr>\r\n\t\r\n<tr>\r\n\t<td>\r\n     \u0628\u0631\u0627\u06cc \u0633\u0641\u0627\u0631\u0634 \u062a\u0631\u062c\u0645\u0647 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u062a\u0645\u0627\u0633\u060c \u067e\u06cc\u0627\u0645\u06a9\u060c \u062a\u0644\u06af\u0631\u0627\u0645 \u0648 \u06cc\u0627 \u0648\u0627\u062a\u0633 \u0627\u067e \u0628\u0627 \u0634\u0645\u0627\u0631\u0647 \u0632\u06cc\u0631 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f:\r\n\t<br \/><br \/>\r\n\t09395106248\r\n\t\t\r\n\t\t\r\n\t<br \/><br \/>\r\n\t\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0634\u0631\u0627\u06cc\u0637 \u062a\u0631\u062c\u0645\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:\r\n\t\t<br \/>\r\n\t\t<ul>\r\n\t\t<li>\r\n\t\t\u0642\u06cc\u0645\u062a \u0647\u0631 \u0635\u0641\u062d\u0647 \u062a\u0631\u062c\u0645\u0647 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 40 \u0647\u0632\u0627\u0631 \u062a\u0648\u0645\u0627\u0646 \u0645\u06cc \u0628\u0627\u0634\u062f. \r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u062a\u062d\u0648\u06cc\u0644 \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f \u0645\u06cc \u0628\u0627\u0634\u062f.\r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u0635\u0648\u0631\u062a \u062f\u0627\u0634\u062a\u0646 \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a \u0639\u0627\u062f\u06cc \u0628\u06cc\u0646 3 \u062a\u0627 5 \u0631\u0648\u0632 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t\r\n\t\t<li>\r\n\t\t\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627 \u0645\u06cc \u0628\u0627\u0634\u062f. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.\r\n\t\t<\/li>\r\n\t<\/td>\r\n\t\r\n\t\r\n<\/tr>\r\n<\/table>\r\n\r\n\r\n\n","protected":false},"excerpt":{"rendered":"<p>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Galilean symmetry of the KdV hierarchy \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0642\u0627\u0631\u0646 \u06af\u0627\u0644\u06cc\u0644\u0647 \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KdV [&hellip;]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","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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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}}},"product_cat":[15,21],"product_tag":[740,688,360,689,361,742],"class_list":{"0":"post-29394","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-15","7":"product_cat-21","8":"product_tag-algebraic-geometry","9":"product_tag-exactly-solvable-and-integrable-systems","10":"product_tag-mathematical-physics","11":"product_tag-689","12":"product_tag-361","13":"product_tag-742","14":"pmpro-has-access","15":"desktop-align-left","16":"tablet-align-left","17":"mobile-align-left","19":"first","20":"instock","21":"shipping-taxable","22":"purchasable","23":"product-type-variable"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0645\u0642\u0627\u0644\u0647 \u062a\u0642\u0627\u0631\u0646 \u06af\u0627\u0644\u06cc\u0644\u0647 \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KdV - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/express24.ir\/d\/product\/\u0645\u0642\u0627\u0644\u0647-\u062a\u0642\u0627\u0631\u0646-\u06af\u0627\u0644\u06cc\u0644\u0647-\u0633\u0644\u0633\u0644\u0647-\u0645\u0631\u0627\u062a\u0628-kdv\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u0642\u0627\u0644\u0647 \u062a\u0642\u0627\u0631\u0646 \u06af\u0627\u0644\u06cc\u0644\u0647 \u0633\u0644\u0633\u0644\u0647 \u0645\u0631\u0627\u062a\u0628 KdV - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:description\" 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