ON THE DETERMINATION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ADMITTING INTEGRABLE SYSTEMS

作     者：谷超豪 胡和生 Gu CHAOHAO HU HESHENG(Institute of Mathematics, Fudan University, Shanghai)

作者机构：Institute of Mathematics Fudan University Shanghai 

出 版 物：《Science in China,Ser.A》 (中国科学A辑(英文版))

年 卷 期：1986年第7期

页      面：704-719页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work is partially supported by the Chinese Foundation of Natural Sciences 

主　　题：PDEs ON THE DETERMINATION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ADMITTING INTEGRABLE SYSTEMS pair 

摘      要：It is proved that nonlinear PDEs admitting SU（2） or SL（2, R） integrable systems can be written as the Gauss equation（or its subequation） of the surfaces of constant curvature in the Euclidean R3 or in the Minkowski R2, 1. Thus, we present a method to construct these PDEs. Moreover, we introduce a method to identify whether a given PDE admits an SU（2） or SL（2, R） integrable system.