On the Drinfeld-Sokolov hierarchy of type E_(6)^((1))and its topological solution

作     者：Weiqiang He Hua-Zhong Ke Chao-Zhong Wu Weiqiang He;Hua-Zhong Ke;Chao-Zhong Wu

作者机构：School of MathematicsSun Yat-sen UniversityGuangzhou 510275China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2021年第64卷第6期

页      面：1245-1262页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11601534 11771461 and 11831017) 

主　　题：Drinfeld-Sokolov hierarchy tau function topological solution 

摘      要：In this paper we report some explicit evolutionary PDEs of the Drinfeld-Sokolov hierarchy of type E_(6)^((1)),and show how the unknown functions in these PDEs are related to the tau ***,for this hierarchy we compute its topological solution of formal series up to a certain degree,whose coefficients of monomials give the Fan-Jarvis-Ruan-Witten invariants for the E_(6) simple *** on such results we also derive several explicit evolutionary PDEs and some low-degree terms of the topological solution for the Drinfeld-Sokolov hierarchy of type F_(4)^((1)).