短波模型的Novikov方程族与Sawada-Kotera方程族的刘维尔相关性  

Liouville correspondence between the short-wave model of Novikov hierarchy and the Sawada-Kotera hierarchy

作　　者：康婷 郭旭 郭明月 时振华 Kang Ting;Guo Xu;Guo Mingyue;Shi Zhenhua(School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学数学学院

出　　处：《纯粹数学与应用数学》2019年第4期437-448,共12页Pure and Applied Mathematics

基　　金：国家自然科学基金(11847068);陕西省教育厅专项科研项目(17JK0768)

摘　　要：主要研究短波模型的Novikov方程族与Sawada-Kotera方程族的对应关系.通过短波模型的Novikov方程与Sawada-Kotera方程等谱问题之间的刘维尔变换联系两个方程族的递推算子,从而建立两个方程族中每一对可积方程之间以及每一对哈密顿守恒律之间的一一对应关系.In this paper,we study an explicit correspondence between the integrable short-wave model of Novikov hierarchy and the Sawada-Kotera hierarchy.A Liouville transformation between the isospectral problems of short-wave model of Novikov and Sawada-Kotera equation also relates their respective recursion operators,and serves to establish the Liouville correspondence between their flows and Hamiltonian conservation laws.

关 键 词：刘维尔变换 递推算子 哈密顿守恒律 

分 类 号：O175.29[理学—数学]